Answers
Answer:
x = 8
Step-by-step explanation:
Hello!
The missing angle in the triangle can be found by subtracting 90° and 45° from 180°. The missing angle is 45°.
This means that the triangle is isosceles, as there are two congruent base angles, 45° and 45°.
The side lengths opposite these two angles are congruent.
We can see that 8 is opposite 45°, and x is opposite 45°. Therefore, x must be equal to 8.
The value of x is 8.
Answer:
x = 8
Step-by-step explanation:
The interior angles of a triangle sum to 180°.
The given triangle is a right triangle, so the missing angle is 45°
⇒ 180° - 90° - 45° = 45°
As the triangle has 2 equal angles, this means it is an isosceles triangle (with its vertex at the right angle). An isosceles triangle has legs of equal measure, therefore [tex]x=8[/tex].
Proof
This can be proven by using the tan trigonometric ratio to calculate the value of x.
Tan trig ratio
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = 45°O = 8A = xSubstituting the given values into the equation and solving for x:
[tex]\implies \tan (45^{\circ})=\dfrac{8}{x}[/tex]
[tex]\implies x=\dfrac{8}{\tan (45^{\circ})}[/tex]
[tex]\implies x=\dfrac{8}{1}[/tex]
[tex]\implies x=8[/tex]
Related Questions
(5 1/6-x)*2 7/10-1 3/14=3 2/7
Answers
Answer:
3.5
Step-by-step explanation:
(x-1)(x+1)= выполнить умножение
Answers
Answer:
x^2-1^2
Step-by-step explanation:
formula:
(a-b)(a+b)=a^2-b^2
a prototype rocket burns 159 gallons of liquid hydrogen fuel each second during a regular launch. Make a table that shows how many gallons of fuel are burned after 2,3,5 and 10 seconds.
Answers
Answer:
Seconds: 2 || 3 || 5 || 10 ||
---------------------||-------||--------||--------||
Gallons: 312 || 486 || 780 || 1560 ||
Paige is working on an art project. She draws two rectangles that are connected. The total area of the two rectangles is 56 centimeters. The
dimensions of the smaller rectangle are 2 centimeters by 7 centimeters.
Answers
Answer:
2 * 21
3 * 14
6 * 7
Step-by-step explanation:
7 * 2 = 14
56 - 14 = 42
Multiples of 42 = 2,3,6,7, 14, 21
The possible dimensions of the larger rectangle are:
21 centimeters by 2 centimeters
14 centimeters by 3 centimeters
7 centimeters by 6 centimeters
Let the dimensions of the larger rectangle be length L and width W.
We know that the total area of the two rectangles is 56 square centimeters.
Area of the smaller rectangle = 2 cm * 7 cm = 14 square centimeters
Area of the larger rectangle = Total area - Area of the smaller rectangle
Area of the larger rectangle = 56 square centimeters - 14 square centimeters
Area of the larger rectangle = 42 square centimeters
Now, we need to find the possible dimensions of the larger rectangle with an area of 42 square centimeters.
To find the possible dimensions, we can list all the pairs of whole numbers (L, W) whose product is 42.
7 * 2 = 14
56 - 14 = 42
Multiples of 42 = 2,3,6,7, 14, 21
Remember that the length (L) should be greater than or equal to the width (W) to avoid counting duplicates.
The possible dimensions are:
L = 42, W = 1 (42 cm * 1 cm = 42 square centimeters)
L = 21, W = 2 (21 cm * 2 cm = 42 square centimeters)
L = 14, W = 3 (14 cm * 3 cm = 42 square centimeters)
L = 7, W = 6 (7 cm * 6 cm = 42 square centimeters)
So, the possible dimensions of the larger rectangle are:
42 centimeters by 1 centimeter
21 centimeters by 2 centimeters
14 centimeters by 3 centimeters
7 centimeters by 6 centimeters
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Solve y = ax² + c for x.
Answers
Answer:
[tex]x =\pm\sqrt{\dfrac{y-c}a}[/tex]
Step-by-step explanation:
[tex]~~~~~~y= ax^2 +c\\\\\implies ax^2 = y-c\\\\\implies x^2 =\dfrac{y-c}{a}\\\\\implies x =\pm\sqrt{\dfrac{y-c}a}[/tex]
How old are people when their voice change
Answers
For boys, it's between the ages of 12-16
And for girls, it's between the ages of 10-14
Answer:
boys between ages 12 and 16 girls between ages 10 and 14
doubling the sum of 5 and a number is equal to the same number decreased by 2. what is the equation
Answers
Answer:
2(x + 5) = x - 2
⟹ x = -12
Step-by-step explanation:
Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?
This word problem can be written as:
⟹ 2(x + 5) = x - 2
1. Distribute:
2(x) + 2(5) = x - 2
⟹ 2x + 10 = x - 2
2. Subtract x from both sides:
2x - x + 10 = x - x - 2
⟹ x + 10 = -2
3. Subtract 10 from both sides:
x + 10 - 10 = -2 - 10
⟹ x = -12
4. Check your work:
2(x + 5) = x - 2
2(-12 + 5) = -12 - 2
2(-7) = -20
⟹ -14 = -14 ✔
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6. Free trade is defined as "a system of buying and selling between countries that is
carried out with no government involvement Based on what you've learned about
international trade, write a three-to five-paragraph essay about who benefits the
most from free trade: developed, developing, or underdeveloped nations. (10 points)
Answers
Free trade is defined as "a system of buying and selling between countries that is. carried out with no government involvement Based on what you've learned about international trade,
What is International trade?The term "lobby" here refers to that action which seeks to influence or affect a certain issue most specifically those that are business and politically related. And based on the scenarios above, the one that would most likely motivate an autoworker union to lobby congress would be the first option.
The World Bank is a financial institution created after World War II by developed countries to promote economic development around the world through loans to developing countries. To get a loan, a developing nation must submit a project that is evaluated by World Bank secretaries. Some focus areas of the bank finances are human development, agriculture, environmental protection, industrial projects, infrastructure, and corporate governance.
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Find the area of the polygon with vertices of A(2, 2), B(2, 7), C(8, 7),
and D(4, 2)
Answers
Answer:
20 units²
Step-by-step explanation:
Solve for x.
JKL
2x-4
8
16
7
56
Answers
you have to use intercept theorem, also known as Thales's theorem to slove this problem
The table shows the monthly low temperature for several cities in December. The monthly low temperature in Toledo in December was 212°F. Which of the cities in the table, if any, had a lower December temperature than Toledo? Explain your reasoning.
Please this is urgent, please.
Answers
Of these cities, the place that has the lowest temperature than Toledo is Youngstown.
What is the temperature of Youngstown?The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.
Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.
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what is the vertex of: y = x^2 + 8x - 10
Answers
Answer:
vertex = -4, -26
Step-by-step explanation:
The standard form of a quadratic function is : [tex]y=ax^{2} +bx+c[/tex]
The function here : y = [tex]x^{2}[/tex] + 8x - 10
is in this form with a=1, b=8 and c = -10
x-coord of vertex = [tex]\frac{-b}{2a}[/tex]
[tex]x_{vertex} =\frac{-8}{2} = -4[/tex]
To find corresponding value of y-coord of vertex , substitute
x = -4 into the function.
x=-4 : [tex]y=(-4)^{2} +(8*(-4))-10 = 16 +(-32)-10=-26[/tex]
If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?
Answers
=======================================================
Explanation:
Let's use an example to see why this is
A = {1,2,3,4,5,6,7}
B = {x,y,z}
A U B = {1,2,3,4,5,6,7, x,y,z}
We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).
There are 7 items in set A, and 3 items in set B.
Therefore, we have 7+3 = 10 items in set A U B
The symbol U refers to the set union operator.
If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.
The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.
-----------------
If you want a formula to write down on a notecard or reference sheet, then it would be
n(A U B) = n(A)+n(B)
where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region
The first number in a pattern is 6. The pattern follows the rule "Add 1, Multiply by 2" Which of the following shows the next four numbers in the pattern?
A - 7, 8, 9, 18
B - 12, 13, 26 27
C - 7, 14, 15, 30
D - 12 14. 28, 28
Answers
Answer:
C
Step-by-step explanation:
Remark
You must do the changes in order. Add 1 then multiply by 2
First entry: 6Add 1: 6 + 1 = 7Multiply by 2 = 2*7 = 14Add 1: 14 + 1 = 15Multiply by 2: 15 * 2 = 30Answer: 7 14 15 30
Find the measure of the angle between u = 6i - 3j and
v = 2i+j to the nearest tenth of a degree.
Answers
Answer:
θ = 53.1° (to the nearest tenth)
Step-by-step explanation:
FORMULA :
Let θ be the measure of the angle between U and V :
[tex]\cos \theta =\frac{\overrightarrow{U} .\overrightarrow{V} }{\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert }[/tex]
========================
[tex]\overrightarrow{U} \times \overrightarrow{V} =6\times 2+\left( -3\right) \times 1=9[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{6^{2}+\left( -3\right)^{2} } =\sqrt{45} =3\sqrt{5}[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert =\sqrt{2^{2}+\left( 1\right)^{2} } =\sqrt{5}[/tex]
[tex]\left\Vert \overrightarrow{U} \right\Vert \times \left\Vert \overrightarrow{V} \right\Vert =3\sqrt{5} \times \sqrt{5} = 15[/tex]
…………………………………………………
Then
[tex]\cos \theta =\frac{9}{15} =\frac{3}{5}[/tex]
[tex]\theta =\cos^{-1} \left( \frac{3}{5} \right) =53.130102354156[/tex]
Use technology or a z-score table to answer the question.
The weights of boxes of rice produced at a factory are normally distributed with a
mean of 20 ounces and a standard deviation of 1.5 ounces. Consider a shipment of 1500 boxes of rice.
How many of the boxes will weigh 18 ounces or less?
138 boxes
154 boxes
632 boxes
781 boxes
Answers
The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.
What is a normal distribution?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.
Consider a shipment of 1500 boxes of rice.
Then the number of the boxes will weigh 18 ounces or less will be
z = (18 - 20) / 1.5
z = -1.33
Then the probability will be
P(x ≤ 18) = P(z ≤ -1.33)
P(x ≤ 18) = 1 - P(z > -1.33)
P(x ≤ 18) = 1 - [1 - P(z < -1.33)]
P(x ≤ 18) = P(z < -1.33)
P(x ≤ 18) = 0.091211
Then the number of the boxes will weigh 18 ounces or less will be
⇒ 0.091211 x 1500
⇒ 136.8
approximately 138 boxes.
Then the correct option is A.
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15 points, helppp please
Answers
Answer:
the value of c is 13.
Step-by-step explanation:
See the picture attached below for a step by step explanation
what is the answer to a math problem I had it on khan academy but the problem I
1 2/7 divided by (-2 1/4)
Answers
hat is the answer to a math problem I had it on khan academy but the problem I
1 2/7 divided by (-2 1/4)
Answer:
-4/7
Step-by-step explanation:
1 2/7 divided by (-2 1/4)
1 2/7 = 9/7
-2 1/4 = -9/4
9/7 divided by -9/4 =
9/7 multiplied by -4/9 =
9's cancel out
1/7 multiplied by -4/1 =
-4/7
A weather forecast predicts that for each day from Monday to Friday this week, there is a $40\%$ chance of sun, a $25\%$ chance of getting 4 inches of rain, and a $35\%$ chance of getting 10 inches of rain. What is the expected value of the total number of inches of rain which will fall from Monday to Friday
Answers
Step-by-step explanation:
correct u know jsjsjsjsjajajaj shahha hshshs hsgshs hshshs hshshs hzhsvs hsvzvshsvss hshshs hshshs hshsh hshs
41 Buying music
LV
Dave loves music. He wants to listen to his favorite
singer's new CD. So he goes to Itunes and buys his
songs. One song costs 1,29 € and the album 9,99 €.
There are 8 songs on the album.
. What's the best choice?
Answers
Answer:
theUse the Distance and Midpoint Formulas to find the length and midpoint of the segments with indicated endpoints. Show your solution and answer inside the box.
Endpoints
Distance
Midpoint
1. (-5,8) and (9,4)
2. (6 ,- 3) and (10,11)
3. (2,1) and (-16,13)
4. (3,0) and (9 ,- 13)
5. (-3 ,- 10) & (-7 ,- 2)
B) State whether the given pairs are complementary, supplementary or neither.
1) 25°, 155°
2) 46°, 44°
3) 68°, 108°
4) 180, 72⁰
6) 19⁰, 161°
5) 320, 58⁰.
Answers
Answer:
1st answer supplementary angles
2nd answer complementary angles
3rd answer neither
4th ananswe complementary angles
5th answer complementary angles
6th answer supplementary angles
hope you find this helpful
The volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. What is the volume of a cube with side 4 inches?
Answers
Volume is a three-dimensional scalar quantity. The volume of the cube with side length of 4 inches is 64 inches³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of a cube is the cube of the length of a side. If a side is S, the volume is S^3. Therefore, the volume of cube with side 4 inches will be,
Volume of the cube = (4 in)³ = 64 in³
Hence, the volume of the cube with side length of 4 inches is 64 inches³.
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can someone help with this please
Answers
Answer:
Step-by-step explanation:
What is the volume of this sphere?
Use 3.14 and round your answer to the nearest
hundredth.
18mm
cubic millimeters
Answers
Work Shown:
[tex]V = (4/3)*\pi*r^3\\\\V \approx (4/3)*3.14*18^3\\\\V \approx 24416.64\\\\[/tex]
Can anyone help me i really need it rn
Answers
Answer:
11. g
12. f
13. e (add all the frequencies)
14. d
15. c (eg. 17.5 -8.5 = 9)
16. b
17. a
Let me know if you have any questions.
Hope this helps!
Kevin is running a marathon. His time comes to 26 miles in 2 2/3 hours. What is his speed in miles per hour?
Answers
26 miles
2 2/3 hours
convert 2 2/3 into a fraction
2 2/3 =8/3
x = 26 / (8/3)
x = 9.75 miles per hour
What is the equation of a line that passes through (-6,2) and has a slope of -(1)/(2)?
Answers
Answer:
y= -1/2x+5
Step-by-step explanation:
Write a rule for the nth term of the geometric sequence for which a1=−6 and a5=−486
Answers
The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
The nth term of a geometric sequenceFirst term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
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Question 15 of 16
Which of the following is the domain of the function based on the input-
output table below?
Answers
Answer:
C
Step-by-step explanation:
it is because the hours spent by training will determine the pay at the end of the month.
therefore it's independent that's y it is the domain.
1. Sally makes $600 dollars a week and earns 20% commission on her sales. If she sells $5000 dollars worth of furniture one week. What does she make in total? (Think weekly salary PLUS commission = total salary)
Answers
Answer:
20% of sales : $1000
and salary+commission : $1000+ 600
So total salary : $1600