Answer:
Step-by-step explanation:
You will need to know the gram weight per mole from the periodic table for the element ( or the molecule of elements) in question.
Which equation can be simplified to find the inverse of y = x2-7?
Select the correct answer. The vertices of a triangle are A(7, 5), B(4, 2), and C(9, 2). What is m<ABC
Answer: [tex]45^{\circ}[/tex]
Step-by-step explanation:
[tex]\angle ABC[/tex] is formed by [tex]\overline{AB}[/tex] and [tex]\overline{BC}[/tex], so we can begin by finding their slopes.
[tex]m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0[/tex]
This means that:
[tex]\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1[/tex]
As [tex]\angle ABC[/tex] is acute, this means [tex]m\angle ABC=\boxed{45^{\circ}}[/tex]
ristina and Lamar use a ruler and protractor to draw triangles with given conditions. Part A Cristina is asked to construct a triangle with a 45° angle and a 65° angle. How many different triangles could she draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle Part B Lamar is asked to construct a triangle with two angles measuring 45° and 65°, with the side length between those angles 4 centimeters long. How many different triangles could he draw with these conditions? A any number of triangles B exactly two triangles C exactly one triangle D no triangle
Answer:The sum of the interior angles in any triangle must be equal to 180 degrees
In this problem we have a triangle with a 45 degree angle and a 65 degree angle
so
The measure of the third side must be equal to
The triangle is a 45°-65°-70°
Remember that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
In this problem
I can have as many triangles whose internal angles are congruent and their sides are proportional
therefore
More than one triangle can be drawn with these conditions
Step-by-step explanation:
Find the surface area and lateral surface area of the cylinder. Round your answers to the nearest tenth.
3 yd
Surface area:
Lateral surface area:
A cylinder is a three-dimensional structure formed by two parallel circular bases. The lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
Lateral area of the cylinder = Area of the curved surface
= 2πR × H
= 2 × π × 3yd × 6yd
= 36π yd²
= 113.0973 yd² ≈ 113.1 yd²
The total surface area of the cylinder
= Area of the two bases + Area of the curved surface
= 2(π × 3²) + 113.0973 yd²
= 56.54866 yd² + 113.0973 yd²
= 169.6459 yd² ≈ 169.7yd²
Hence, the lateral and the total surface area of the cylinder are 113.1 yd² and 169.7 yd².
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A rectangle has an area of 65 cm² and a length of
13 cm. Find the perimeter of this rectangle.
Answer:
36 cm
Step-by-step explanation:
See attached image
i need helpppp with this question
Find the middle term of the expansion of (√x+√y)^8. a. 40x2y2 c. 40x4y4 b. 70x2y2 d. 70x4y4
The middle term of the expansion of (√x + √y)⁸ is; B: 70 * x² * y²
How to solve binomial theorems?We want to expand the expression;
(√x + √y)⁸
Now, according to binomial expansion, we know that;
(x + y)ⁿ = ⁿC₀ xⁿ y⁰ + ⁿC₁ xⁿ ⁻ ¹ y¹ + ⁿC₂ xⁿ ⁻ ² y² + ..... + ⁿCₙ x⁰ yⁿ.
Now, for an 8 power binomial, the coefficient of each term from formula are respectively;
1 8 28 56 70 56 28 8 1
The mid term is the fifth term and so, we have;
(⁸C₄ * (√x)⁽⁸ ⁻ ⁴⁾ * (√y)⁴)
⇒ 70 * x² * y²
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If the present value of an item is P
and we experience an inflation rate
of r for t years, what will the future
value of the item be?
P = $100
r = 4%
t = 15
inflation means, the same item costs more however is the same item, so if a tomato in January 1st costs $1 and by December 31st it costs $2, the price went up by twice, however is same tomato, it didn't become twice as large, anyhow, inflation eats away value and thus is a Decay case.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A=100(1 - 0.04)^{15}\implies A=100(0.96)^{15}\implies A\approx 54.21[/tex]
now, we can look at this value reduction as value that was eaten away from the original.
we can also see the inflationary effect as the new value of the tomato in money terms, that means the tomato went up in price, exponentially by 4% per year, so we can see that as a Growth case in terms of money spent on it.
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A = 100(1 + 0.04)^{15} \implies A \approx 180.09[/tex]
now, this is how much the tomato will be priced in money terms in 15 years.
find the perimeter of a triangular field whose length of edges are 14 m, 12m 10 m Also find the length of required to fence 4 times around it?
Answer: 36 m, 144 m
Step-by-Step Explanation:
a = 14 m
b = 12 m
c = 10 m
Perimeter = a + b + c
Therefore,
= a + b + c
= 14 + 12 + 10
= 26 + 10
=> 36
Perimeter = 36 m
Length of Fence required for Fencing 4 times = Perimeter * 4
Therefore,
= Perimeter * 4
= 36 * 4
= 144
Length of Fence required for Fencing 4 times = 144 m
Credit cards and charge cards differ in two important ways. One is the method of payment. What is the other difference? A. You earn interest when you use a credit card but not a charge card. B. You have to pay interest on credit cards but not on charge cards. C. You have to pay interest on charge cards but not on credit cards. D. You earn interest when you use a charge card but not a credit card. Reset Next
The difference is "You have to pay interest on credit cards but not on charge cards" , Option B
What are Credit Cards ?The cards is a financial tool generally issued by banks which let you to borrow money for expenses and make payments afterward in installments.
Credit cards and charge cards differ in two important ways. One is the method of payment
The other difference is
You have to pay interest on credit cards but not on charge cards, as in credit card the person gets lot of time for the payment and the payment can be made in installments and so for this facility extra charge in terms of interest.
Therefore Option b is the correct answer.
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The bearing
of P from Q is 0.60°. What is the bearing
of Q from P
Answer:
MMm mmm mmm mmm sh get wicked mmm mmm mm like what u saying mmm mmm mmm gla mmmm
Step-by-step explanation:
Which of the following are exterior angles? Check all that apply.
A. <4
B. <1
C. <5
D. <2
E. <3
F. <6
All of the ppl that answered this for it wrong, it is <6!! ( < = angle)
A dartboard consists of a circle inscribed in a square. The area of the circle is square inches. The area of the square is 64 square inches.
A dartboard consists of a circle inscribed in a square.
Izzy randomly throws a dart at the square, and it lands inside the square. To the nearest percent, what is the probability that the dart lands inside the square but not on the circular dartboard? Use 3.14 for π.
22%
25%
75%
79%
The probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A dartboard consists of a circle inscribed in a square.
The area of the square is 64 square inches.
We know the area of the square:
A = a²
a is the side of the square.
64 = a²
a = 8 inches
As the circle inscribed in a square.
The diameter will be 8 inches
The radius of the circle r = 8/2 = 4 inches
Area of the circle = πr² = π(4)² = 16×3.14 = 50.24 inches
P(dart will land on circular dartboard) = 50.24/64 = 0.785
P(dart will not land on circular dartboard) = 1 - 0.785 = 0.215
or
P(dart will not land on circular dartboard) = 21.5% ≈ 22%
Thus, the probability that the dart lands inside the square but not on the circular dartboard is 22% option first is correct.
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Answer:
22%
Step-by-step explanation
Edge.2023!
Triangle ABC is defined by the points A(2,9), B(8,4), and ((-3,-2).
Complete the following equation for a line passing through point C and perpendicular AB.
The equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have a triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
The slope of the segment AB:
[tex]\rm m =\dfrac{4-9}{8-2}[/tex]
m = -5/6
The slope of the line perpendicular to AB:
Let M is the slope of the line:
mM = -1
(-5/6)M = -1
M = 6/5
The line:
y = Mx + c
y = (6/5)x + c
The line passing through the point C(-3, -2)
-2 = (6/5)(-3) + c
c = 8/5
y = (6/5)x + 8/5
5y = 6x + 8
Thus, the equation of the line is 5y = 6x + 8 which passes through point C and perpendicular AB.
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Abby takes a 75-centimeter by 40-centimeter rectangle of fabric and cuts from one corner of
the piece of fabric to the diagonally opposite corner. Now Abby has two equally sized triangles of fabric. What is the perimeter of each triangle centimeters
answer: 195cm
the photo should explain
Evaluate 1/2 X (6 X 4)÷3 + 2 show your work to find the answer pls hurry
So, when we evaluate 1/2 × (6 × 4) ÷ 3 + 2 = 8
To answer the question, we must use the rules of arithmetic in mathematical operations
What are mathematical operationsMathematical operations are operation which include
addition, subtraction, multiplication and division. Rules of arithmetic in mathematical operationsIn arithmetic, we follow the rule PEMDAS where
P - parentheses E - exponents M - multiplication D - division A - addition and S - subtractionSo, to evaluate 1/2 × (6 × 4) ÷ 3 + 2, we follow this rule.
So, 1/2 × (6 × 4) ÷ 3 + 2 = 1/2 × 24 ÷ 3 + 2
= 12 ÷ 3 + 2
= 6 + 2
= 8
So, 1/2 × (6 × 4) ÷ 3 + 2 = 8
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A line contains points F, G, H, I, J. The space between F G is 2. The space between H and I is 1. The space between F and I is 7.
If FG = 2 units, FI = 7 units, and HI = 1 unit, what is GH?
Based on the segment addition postulate, the length of GH is: 4 units.
What is the Segment Addition Postulate?The segment addition postulate states that if a line segment is divided into smaller parts, the sum of the length of the smaller parts equals the length of the line segment.
FG = 2 unitsFI = 7 unitsHI = 1 unitGH = ?FI = FG + HI + GH [segment addition postulate]
7 = 2 + 1 + GH
7 = 3 + GH
7 - 3 = GH
4 = GH
GH = 4 units.
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Answer:
B- 4 units
Step-by-step explanation:
EASY POINTS
NEED HELL ASAP WIT THIS
Answer:
5
Step-by-step explanation:
You just multiply the indices by the power so 1/6 x 6 = 1 and 5 to the power of 1 is just 5.
A long novel is opened to a random page; the probability that the page is numbered something between 21 and 31.
Using the uniform distribution, considering that the novel has 435 pages, the probability that the page is numbered something between 21 and 31 is:
[tex]p = \frac{10}{435}[/tex]
What is the uniform probability distribution?It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Researching the problem on the internet, it is found that the novel has 435 pages, hence a = 0, b = 435, and the probability that the page is numbered something between 21 and 31 is given by:
[tex]P(21 \leq X \leq 31) = \frac{31 - 21}{435 - 0} = \frac{10}{435}[/tex]
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Problem #2
Using the perpetual inventory system, journalize the entries for the following transactions:
a) Sold merchandise on account for $12,000, terms 1/10, n/30. The cost of the merchandise sold was $6,500.
b) Sold merchandise on account for $9,500 to customers who used a VISA card. The cost of the merchandise sold was
$5,300.
c) The customer in a) returned merchandise which was sold for $1,000 and that we had purchased for $780.
d) Purchased merchandise on account for $8,500, credit terms 1/15, n 45, FOB destination. The appropriate company paid
the Freight costs of $500.
The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.
How to depict thejournal?
a. Debit Accounts Receivable 12000
Credit Sales 12000
Debit Cost of Merchandise Sold 6500
Credit Merchandise Inventory 6500
b. Debit Cash 9500
Credit Sales 9500
Debit Cost of Merchandise Sold 5300
Credit Merchandise Inventory 5300
c. Debit Cash 2900
Credit Sales 2900
Debit Cost of Merchandise Sold 1700
Credit Merchandise Inventory 1700
d. Debit Credit Card Expense 385
Credit Cash 385
e. Debit Credit Card Expense 75
Credit Cash 75
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Which description best describes parallel lines?
OA. Lines that intersect at a right angle
B. Lines that lie in the same plane but will never intersect
C. Lines that are not in the same plane and will never intersect
OD. Lines that intersect
SUBIT ?
Based on probability and if it is appropriate for a decision to be left up to chance, choose every situation that is both statistically fair and morally fair.
Situation #1 A high school student is deciding whether to first clean his room or do his homework. He decides by picking a tile at random from a bag of lettered tiles. If he picks a consonant he will clean his room, and if he picks a vowel he will do his homework.
Situation #2 There are four candidates eligible for a vacancy at a company. Ignoring qualifications and experience, the recruitment manager decides which candidate to hire by writing their names on pieces of paper, shuffling the papers, and drawing one at random.
Situation #3 Five cousins are deciding which board game to play. They each write their preferred game on a different section of a spinner that has five equally-sized sections. They spin the spinner and will play the game written on the section where the spinner lands.
Situation #4 To determine who can choose the spot for a picnic, Kate picks a tile at random from a collection of five tiles, numbered 2 through 6. Kate chooses the spot if she picks a prime number, and Charles chooses if Kate picks a composite number.
Situation #5 Five roommates all want to attend an event, but they only have four invites. To decide who will attend, they shuffle a set of five cards consisting of four aces and a king. Each roommate is randomly dealt a card. The ones dealt an ace will attend the event.
Reset Next
The situations that are both statistically fair and morally fair are Situation 2, Situation 3 and Situation 5
How to categorize the situations?For a situation to be fair, the probability of every outcome must be equal.
We can now analyze each option using the above highlight
Situation 1
Alphabets = 26Probability of vowel = 5/26Probability of consonant = 21/26The probabilities of vowels and consonant are not equal.
Hence, this situation is not fair
Situation 2
People = 4
P(Each) = 1/4
The probability of each participant is equal in the above scenario i.e. 1/4
Hence, this situation is fair
Situation 3
People = 5P(Each) = 1/5The probability of each cousin is equal in the above scenario i.e. 1/5
Hence, this situation is fair
Situation 4
Numbers = 5 i.e. 2 to 6P(Prime) = 3/5P(Composite) = 4/6The probabilities of prime and composite numbers are not equal.
Hence, this situation is not fair
Situation 5
Roommates = 5Cards = 5Aces = 4P(Each) = 1/5All probabilities are equal in the above scenario i.e. 1/5
Hence, this situation is fair
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pls help me with 5,6,7,8,9,10,11.Its 7th grade maths i really need help.I'll
also give brainliest
The missing areas and dimensions of the given squares, rectangles, and triangles are:
2. 36 cm²
3. 21 cm²
4. 9 cm²
5. 5 cm
6. 10 cm
7. 4 cm
8. 8 cm
9. 7 cm
10. 7
11. 10
What is the Area of a Square, Rectangle, and a Triangle?Area of a square = s²
Area of a rectangle = (length)(breadth)
Area of a triangle = 1/2(base)(height).
2. Area of square = s² = 6² = 36 cm².
3. Area of a rectangle = (length)(breadth) = (3)(7) = 21 cm².
4. Area of a triangle = 1/2(base)(height) = 1/2(3)(6) = 9 cm².
5. Area of a rectangle = (length)(breadth)
60 = (12)(breadth)
Breadth = 60/12
Breadth = 5 cm.
6. Area of a triangle = 1/2(base)(height)
35 = 1/2(7)(height)
Height = (35)(2)/7
Height = 10 cm
7. Area of a square = s²
16 = s²
s = √16
s = length = 4 cm
8. Area of a triangle = 1/2(base)(height)
40 = 1/2(10)(height)
Height = 40/5
Height = 8 cm.
9. Area of a square = s²
49 = s²
s = √49
s = length = 7 cm
10. Area of a rectangle = (length)(breadth)
84 = (12)(breadth)
Breadth = 84/12
Breadth = 7 cm.
11. Area of a triangle = 1/2(base)(height)
35 = 1/2(7)(height)
Height = 70/7
Height = 10 cm.
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AB = 10 in; AD = 6 in
A=
30sqrt3 in2
30 in2
60 in2
Answer: 30
Step-by-step explanation:
If we were to draw diagonal BD, then we would create two congruent triangles, and we could find the area of each using the formula [tex]A=\frac{1}{2} ab \sin C[/tex].
However, since there are two triangles, we can double this, giving us [tex]A=ab \sin C[/tex].
So, the area is [tex]A=(10)(6)(\sin 30^{\circ})=\boxed{30}[/tex]
HELP ASAP WILL GIVE BRAINLIST
Answer:
Step-by-step explanation:
Remark
This is a proportion question. A proportion is 2 equal ratios that requires you to solve the 4th part when you know the other 3.
Givens
1 foot scale model length
5 feet of actual length
x = length of model
65 feet of actual length
Formula
1 foot / 5 feet = x / 65 feet
Solution
1/5 = x / 65 Cross multiply
5x = 65 Divide by 5
5x/5 = 65/5
x = 13
Answer
The model is 13 feet long
What is the simple interest on N450 for 2 years at 3%?
Answer:
Simple Interest = PTR/100
P=450
T=2
R=3%
Simple Interest = PTR/100
=450×2×3\100
=27
Hence the interest is 27.
After a 35% reduction, you purchase a new television for $136.5. What was the price of the television before the reduction?
A) First write an equation you can use to answer this question.
B) Solve your equation in part [A] to find the original price of the television.
Answer:
See Below
Step-by-step explanation:
35% off means you pay 65%
sooo A) .65 x = 136.50 where x = original price
B) x = 136.50/.65 = $210 original price
What’s the second step to solving 2x-4=26
Answer:
The second step is to isolate the variable by multiplication or division
Step-by-step explanation:
so it should be solving the x
Answer:]
A two-step equation is an algebraic equation that takes you two steps to solve. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
:] Correct me if i'm wrong :]
a circular garden has a diameter of 12 yards whag is the area of the garden use 3.14
Step-by-step explanation:
the area of a circle is
pi × r²
r is the radius (= half of the diameter) of the circle.
radius in our car is 12/2 = 6 yd
and we are to use 3.14 as pi.
so we get as area
3.14 × 6² = 3.14 × 36 = 113.04 yd²
what is the smallest number when divided by 24 and 12 leaves remainder 12
Answer:
The smallest number is two 2