Answer:
9 units
Step-by-step explanation:
Reflections do not change the size of a shape, only dilations do. The side length will stay 9 units.
Which of the following is the correct graph of the solution to the inequality -13> -5x + 2 > -28?
Answer:
3 < x < 6
Step-by-step explanation:
1) Subtract 2 from the whole equation.
- 13 - 2 > -5x > -28 - 2
2) Simplify.
-15 > -5x > -30
3) Divide the whole equation by -5.
-15/-5 < x < -30/-5
4) Simplify.
3 < x < 6
what is the mean median and mode of 3,721,23,63,27,29,95 and 23?
Answer:
Mean: 123
Median: 28
Mode: 23
Step-by-step explanation:
give brainliest
Answer:
Mean = 123, Median = 28 , Mode = 23
Step-by-step explanation:
Mean is the average of all the numbers.
Mean = [tex]\frac{3+721+23+63+27+29+95+23}{8} \\= \frac{984}{8} \\= 123[/tex]
Median is the middle most value of the numbers when arranged in ascending order. (Average of the 2 middlemost numbers if there are even number of values.)
Arranged Values: 3,23,23,27,29,63,95,721
Median = [tex]\frac{27+29}{2} \\= \frac{56}{2} \\= 28[/tex]
Mode is the value that occurs the most in the numbers.
Mode = 23
find the area of the circle if radius is 6 and there is only 3/4 of the circled
Answer:
84.8
Step-by-step explanation:
Begin by finding the total area of the circle. You have been given the radius.
A = πr²
A = π(6)²
A = 36π
A = 113
If there is only 3/4 of the circle, then multiply the entire area by 3/4 to find the final answer.
113 x 3/4 = 84.8
What is the component form of the vector whose tail is the point (-3,2) and whose head is the point (1, -6)?
Answer:
(4, -8)
Step-by-step explanation:
The components of a vector are found by subtracting the tail from the head.
__
Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)
⇒ The component form is (4, -8), or maybe 4i -8j.
_____
Additional comment
There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.
(4,-8) is the answer
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark
that's 532 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon's vertical distance above the ground is 430 feet.
What is the angle of depression?You look straight parallel to the ground. But when you have to watch something down, then you take your sight down by moving your head up.
The angle from horizontal to the point where you stopped your head is called the angle of depression.
From a hot-air balloon, Brody measures a 39° angle of depression to a landmark that's 532 feet away, measuring horizontally.
The angle of depression = 39°
The base = 532
We need to find the vertical distance consider perpendicular.
[tex]\rm Tan \theta = \dfrac{perpendicular}{base } \\\\\rm Tan 39 = \dfrac{perpendicular}{532} \\\\\rm Tan 39 \times 532 =perpendicular\\\\0.80 \times 532\\\\P = 430.80[/tex]
Therefore, the balloon's vertical distance above the ground is 430.80 feet.
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Answer:
430.81
Step-by-step explanation:
hard way
You save 25% on a $199 television. How much do you save?
Answer:
49.75$Step-by-step explanation:
You save 25% on a $199 television. How much do you save?
25% = 1/4
so
199 : 4 = 49.75$
Answer:
You save $49.75
Need help to proportion this question help please
Step-by-step explanation:
1. So first you have to cross multiple the two terms
2.Solve the algebraic equation
By dividing with 12 on both sides
(Note :That's a 32 in the picture sometimes i really write bad)
Nina and Jo both ran a 13 km race.
Nina took 2 hour 10 minutes to run the whole race.
Jo started the race 7 minutes later than Nina but caught up when they had both travelled 11 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
We will see that Jo's speed, rounded to 2 digit places, is:
S = 6.42 km/h
How to get Jo's speed?
Remember that:
speed = distance/time.
Nina takes 2 hours and 10 minutes to finish the race, first, let's write the time in hours:
1 hour = 60 min.
Then:
10 min = (10/60) hours = 0.167 hours.
So we can write the time as:
2.167 hours.
And the distance is 13km, so her speed is:
S = 13km/2.167h = 6 km/h
The time that she takes to reach a distance of 11km (where she meets with Jo) is:
T = 11km/(6 km/h) = 1.83 hours.
Now, Jo starts 7 minutes after Nina, then the time in which he travels the 11 km is:
1.83 hours - 7 minutes.
Where:
7 min = (7min/60 min) hours = 0.117h
Then the time is:
T= 1.83h - 0.117h = 1.713 hours.
So he travels 11km in 1.713 hours, then his speed is:
S = 11km/ 1.713 hours = 6.42 km/h
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Which option below demonstrates the correct interval notation for a
continuous set of all numbers between 5 and 6, including 5, but not including
6?
OA. (5,6]
OB. (5,6)
O C. [5, 6)
OD. (5, 6}
The correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
What is interval notation?It is defined as the representation of a set of values that satisfy a relation or a function. It can be represented as open brackets and close bracket the close the brackets means the value is at the close bracket also included, and open bracket means the value at the open bracket does not include.
We have:
Continuous set of all numbers between 5 and 6, including 5, but not including 6.
From the above statement we can represent the number in the interval notation:
The numbers are between 5 and 6.
(5, 6)
As it is mentioned that 5 is included and 6 is not included, then:
[5, 6)
Thus, the correct interval notation for the continuous set of all numbers between 5 and 6, including 5, but not including 6 is [5, 6) option (C) is correct.
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score distribution of the test result of 33 students in a science class containing 50 items
please solve it fast
This are function used to determine the term of a sequence. The second and the third term of the sequence is 6 and 18
Recursive functionsThis are function used to determine the term of a sequence. Given the following functions
an+1 = 3an
Given that a1 = 2
a2 = 3a1
a2 = 3(2)
a2 = 6
For the third term a3
a3 =3a2
a3 = 3(6)
a3 = 18
Hence the second and the third term of the sequence is 6 and 18
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Solve the equation by factoring. 8x^2+10x-7=0
What is the solution set?
Answer:
[tex]x = - \frac{7}{4} \: \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]8 {x}^{2} + 14x - 4x - 7 = 0 \\ 2x(4x + 7) - (4x + 7) = 0 \\ (4x + 7)(2x - 1) = 0[/tex]
Answer:
[tex]\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}[/tex]
Step-by-step explanation:
Given: 8x² + 10x - 7 = 0
When factoring trinomials of the form ax² + bx + c:
multiply the leading coefficient and the last term.find the product factors that add to give you the coefficient of the middle term.rewrite the polynomial with those factors replacing the middle term.1. Split the middle term:
⇒ 8 × -7 = -56 [multiply the leading coefficient and the last term]
⇒ 14, -4 [find the product factors that add to the middle term's coefficient]
⇒ 8x² + 14x - 4x - 7 = 0 [rewrite with those factors replacing the middle term.]
2. Factor by grouping:
⇒ 8x² + 14x - 4x - 7 = 0 [factor out 2x]
⇒ 2x(4x + 7) - 4x - 7 = 0 [factor out -1 or the negative sign]
⇒ 2x(4x + 7) -1(4x + 7) = 0 [factor out 4x + 7]
⟹ (4x + 7)(2x - 1) = 0
3. Separate into 2 cases:
4x + 7 = 02x - 1 = 0
Case 1:
⇒ 4x + 7 = 0 [subtract 7 from both sides]
⇒ 4x + 7 - 7 = 0 - 7
⇒ 4x = -7 [divide both sides by 4]
⇒ 4x ÷ 4 = -7 ÷ 4
⟹ x = [tex]\bold{-\dfrac{7}{4}}[/tex]
Case 2:
⇒ 2x - 1 = 0 [subtract 1 from both sides]
⇒ 2x - 1 + 1 = 0 + 1
⇒ 2x = 1 [divide both sides by 2]
⇒ 2x ÷ 2 = 1 ÷ 2
⟹ x = [tex]\bold{\dfrac{1}{2}}[/tex]
Solutions:
[tex]\large \text{$x_1$}=-\dfrac{7}{4}, \large \text{$x_2$}=\dfrac{1}{2}[/tex]
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Part A
Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct? {Box}
Part B
Explain why or why not.
I NEED THE ANSWER ASAP pls
Answer:
Jan is not correct
Step-by-step explanation:
Rhombus and parallelogram both have their opposite angles to be equal and the opposite sides to be parallel but Rhombus has all its sides to be equal like the square while the parallelogram has only the opposite sides to be equal like the rectangle
please help what is…. 5-2?
that’s all the information ive been given and i don’t know how to solve it someone help please i beg
Answer:
3
Step-by-step explanation:
Assessment
Read, analyze, then solve each problem. Answer each question.
A. A bowl of mango jelly was poured into a 14 cm x 8 cm x 3
cm rectangular container. If the mango jelly completely filled
the container, how much mango jelly was there?
1. What is asked in the problem? __________________________
2. Show your solutions. _________________________________
3. State the final answer. ________________________________
B. Ana is cleaning a box which is 6 dm long, 4 dm wide and 15
dm tall. What is the volume of the box?
4. What is asked in the problem? __________________________
5. What are given? _____________________________________
6. State the final answer. ________________________________
C. Wenalyn baked a cassava cake which measures 18 cm x 10
cm x 4 cm. She wants to share the cake with her two
classmates so she cuts it into three parts all of the same
sizes. How much cassava cake will each of her classmates
receive?
7. Show your solutions or illustration.
8. What is the final answer? _____________________________
D. A ream of bond paper is 28 cm long, 22 cm wide and 4 cm
thick. It contains 500 sheets. If 250 sheets were removed
from the ream of bond paper, what is the volume of the
remaining sheets?
9. Write the equation. __________________________________
10.What is the final answer? ___________________________
The formula for the volume of a rectangular prism is: length x width x height
Volume of the mango jelly : 14 x 8 x 3 = 336 cm³
Volume of the cleaning box: 6 x 4 x 15 = 360 dm³
Volume of the cake each classmate would get = (18 x 10 x 4) / 3 = 240 cm³
Volume of the remaining ream of paper : (28 x 4 x 22) / 250 = 9.9 cm³
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Cual es la regla de la sucesion de 1,4,7,10,13,16,19,
Given, a = 1
common difference = 3
Eighth term = a+(n-1)d = 1+(8-1)3
= 1 + 21 = 22
Hope this helps :)
i need help with this question can someone answer fast please
Answer:
Below in bold.
Step-by-step explanation:
Petra uses the expression distance = time * speed
which is (4 + h)55 where 4 + h = total time for the 2 days.
Sierra uses the same expression but for each individual day and adds them:
4*55 + 55h
= 220 + 55h.
A. Name the smallest angle and the largest angle of the following triangles: F 6 S 5 1. A J 5.03 7 5 G B H 5.1 2. D 4 3 E
Answer:
(smallest, largest) = (B, C), (D, E), (G, J)
Step-by-step explanation:
Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.
__
ΔABCThe shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.
smallest angle: Blargest angle: CΔDEFThe shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.
smallest angle: Dlargest angle: EΔGHJThe shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.
smallest angle: Glargest angle: J_____
Additional comment
Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.
Write a linear equation in point-slope form for the line that goes through (-1,3) and (1, -9).
A. y- 3 = -6(x+1)
B. y+1=-6(x-3)
C. y-3= 6(x+1)
D. y + 1 = 2(x-3)
The correct answer is A. y - 3 = -6(x + 1) of the linear equation in point-slope form for the line that goes through (-1,3) and (1, -9).
To write the linear equation in point-slope form, we need to use the formula:
[tex]y - y_1 = m(x - x_1),[/tex]
where [tex](x_1, y_1)[/tex] represents one of the given points, and m represents the slope of the line.
Step 1: Find the slope (m):
[tex]m = \frac {(y_2 - y_1) }{(x_2 - x_1)}\\= \frac {(-9 - 3)} { (1 - (-1))}\=\frac {-12 } {2}= -6.[/tex]
Step 2: Choose one of the given points (-1, 3), and substitute its coordinates into the point-slope form:
[tex]y - 3 = -6(x - (-1)).[/tex]
Step 3: Simplify and rearrange the equation:
[tex]y - 3 = -6(x + 1)\\y - 3 = -6x - 6.[/tex]
Therefore, the correct equation is A. y - 3 = -6(x + 1).
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6. Multiply: (x – 4)(x + 5)
(a) x2 + 5x - 20,
(b) x2 - 4x - 20,
(c) x2 - x - 20,
(d) x2 + x - 20.
A box contains 60 raffle tickets. The tickets are numbered 1 to 60 inclusive. What is P(multiple of 12) when a ticket is drawn from the box?
Answer:
[tex]the \: probability \: is \: \frac{5}{60} \\ when \: simplified \: becomes \: \frac{1}{12} [/tex]
Step-by-step explanation:
The solution is in the image
Find the volume of a cone with a diameter of 10 yards and a height of 12 yards. round your answer to the nearest tenth.
HELP with this please!!
[tex]~~~~\dfrac{12}{x^2 -49} \cdot \dfrac{x^2+9x+14}{9}\\\\\\=\dfrac{4}{x^2 -7^2}\cdot \dfrac{x^2 + 7x +2x +14}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)} \cdot \dfrac{x(x+7)+2(x+7)}{3}\\\\\\=\dfrac{4}{(x+7)(x-7)}\cdot \dfrac{(x+7)(x+2)}{3}\\\\\\=\dfrac{4(x+2)}{3(x-7)}[/tex]
Answer:
[tex]\frac{4(x + 2)}{3(x - 7)}[/tex]
Step-by-step explanation:
Hello!
We can simplify this by factoring, and cross reducing.
Simplify[tex]\frac{12}{x^2 - 49} * \frac{x^2 + 9x + 14}{9}[/tex][tex]\frac{12}{(x+7)(x - 7)} * \frac{(x + 2)(x + 7)}{9}[/tex][tex]\frac{12(x + 2)}{9(x - 7)}[/tex][tex]\frac{4(x + 2)}{3(x - 7)}[/tex]The final simplified form is [tex]\frac{4(x + 2)}{3(x - 7)}[/tex]
1. What is the slope of a line that is parallel to the line represented by the equation y=-2/5x + 4/5
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of the line that is parallel to the line [tex]\star~\mathrm{y=-\cfrac{2}{5}x+\cfrac{4}{5}}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Parallel lines have the same slope.So let's first determine the slope of the first line, and then let's find the slope of the line that's parallel to it.
[tex]\circ\!\!\!\star\mathcal{HINT:}[/tex]
The slope is the coefficient of x.So the slope is
[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex].
Can you guess the slope of the line that is parallel to the first line?
That's right! The slope is...
[tex]\star~\mathrm{-\cfrac{2}{5}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
If b=7 , what is the value of the expression 2(10-b)? A.4 B.6 C.24 D. 12
Answer:
B
Step-by-step explanation:
substitute b = 7 into the expression
2(10 - b)
= 2(10 - 7)
= 2(3)
= 6
Answer:
all you have to do is substitute
B. 6
Step-by-step explanation:
2(10-7)
2(3)
6
How to find the surface area of a hexagon?
Answer:
adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.
Step-by-step explanation:
Tom bought a computer for 15% off from the list price of p dollars. if the sales tax was 8%, how much did he pay for the computer including sales tax?
The amount paid for the computer including sales tax is 0.918p
How to determine the amount paid?The price paid is given as:
Price = p
A 15% off means that he pays 85%.
So, we have:
Amount = 85% * p = 0.85p
A sales tax of 8% means:
Total = 0.85p * (1 + 8%)
Evaluate the product
Total = 0.918p
Hence, the amount paid is 0.918p
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A minor-league hockey team had the following scores for the start of the season: 3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.
If the hockey team scores 9 goals in their next game, would the mean, median, or mode be more affected?
If the hockey team scores 9 goals in their next game, it means that; the mean would be the most affected.
How to find mean, median and mode?
We are given the data set as;
3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.
Let us rearrange in ascending order to get;
0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6.
The mean = (0 + 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6)/12 = 3
Median = (3 + 3)/2 = 3
Mode = 1, 2, 3, 3, 5
Now, if they score 9 goals in their next game, it means that;
Mean = 45/13 = 3.46
Median = 3
Mode remains the same
Thus, mean will be the most affected.
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Please Help I Don't Understand!
Answer:
3/4
Step-by-step explanation:
Scale factor is the ratio between two different triangles. They can be scaled if they are similar triangles, which they are (in this case). Since we know that these two triangles are similar, we want to match all the sides up in a way where they all have the same ratio.
NK=3 and AH = 4, so NK/AH = 3/4.
GK=6 and LH = 8, so GK/LH = 6/8 = 3/4.
GN = 15 and LA = 20, so GN/LA = 15/20 = 3/4.
We found the matching ratios, so the answer is 3/4.
Why is it that when you convert 3/4 into a decimal it’s 0.75??
Answer:because it’s like a quarter
Step-by-step explanation:
A quarter is 25c, 25•3=75