A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

A right triangle is shown. The lengths of the 2 sides are 10 feet and 3 feet. The angle opposite to side with length 3 feet is x.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°
17.5°
72.5°
73.3°

Answer:5 and 3

Step-by-step explanation: They are tho samples bc they are the ones tht are duplicated (x2)

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of independent events happening at the same time is the multiplication of the probabilities of each events.

First card:

A standard deck has 52 cards, of which 13 are diamonds. So

[tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex]

Second card:

The first card is replaced, so still 52 cards, of which 13 are clubs. So

[tex]P(B) = \frac{13}{52} = \frac{1}{4}[/tex]

What is the probability that the first card drawn is a diamond and the second card is a club?

Each drawing is independent, so

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625[/tex]

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

Answer:

because everything is relative to each other.

Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Answer:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Brainliest?!?!??!?

I need one more .

Answer:

A

Step-by-step explanation:

so the perimeter is the sum of all the sides which would be

(5x+1)+(6x-10)+(6x+2)

= 5x+1+6x-10+6x+2

=17x-7

which is A

if my answer helps please mark as brainliest.

Answer:

A. base

Step-by-step explanation:

if this helped please press the pink "thanks" button

Answer:

28

Step-by-step explanation:

area is equal on leng × with, or 36 × w =1008

1008:36 = 28

Answer:

nope it is not the Y intercept is 9 and the slope is   4/3 I belive

Step-by-step explanation:

Answer:

ñœñtíęn pòrqüé no hablœ ïñglēs

Answer:

A: The magnitude is 2 StartRoot 13 EndRoot, and the direction angle is about 34°.

Step-by-step explanation:

did it on edge and got it right

Answer:AAAAA

Step-by-step explanation:

just took it

Answer:

y= -1/2x+1

Step-by-step explanation:

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

Answer:

y=(x+5)2 hope this helped!!! :D

Step-by-step explanation:

Answer:

20√5 - 10√10

Step-by-step explanation:

6√20 + 8√5 - 5√45

first, 6√20 and 5√45 need to be simplified. 8√5 cannot be simplified any further:

6√20 = 6√4•5 = 6√2•2•5 = 6•2√5 = 12√5

5√45 = 5√8•5 = 5√2•2•2•5 = 5•2√2•5 = 10√10

now:

12√5 + 8√5 - 10√10

then, add the coefficients of 12√5 and 8√5

20√5 - 10√10

the left over numbers cannot be combined because they do not have a common radical, making 20√5 - 10√10 the final answer

Answer:

The answer is C.

Hope this helps :)

-ilovejiminssi♡

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]

First, by the quotient property:

[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]

Since they both have the same base, their exponents must be equivalent:

[tex](-x+4)-(-3)=2x+1[/tex]

Solve for x. Simplify:

[tex]-x+7=2x+1[/tex]

Therefore:

[tex]3x=6\Rightarrow x=2[/tex]

Answer:

x=2

Step-by-step explanation:

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Answer:

45%

Step-by-step explanation:

40 * .45 = 18

40-18 = 22

The percentage decrease of an item would be 45%.

The percentage is defined as a ratio expressed as a fraction of 100.

We can determine the value of the percentage decrease by the following formula,

percentage decrease = (initial value - reduced value) / initial value × 100%

As per the given question, we have

initial value = $40, and reduced value = $22

Substitute the values in the above formula, and we get

percentage decrease = (40 - 22) / 40 × 100%

percentage decrease = (18) / 40 × 100%

percentage decrease = 0.45 × 100%

Apply the multiplication operation, and we get

percentage decrease = 45%

Thus, the percentage decrease of an item would be 45%.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

Answer:

0.017578 or 1.76%

Step-by-step explanation:

The probability of getting at least 12 heads is 0.01757.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1-  p), depending on the outcome's boolean value.

Given a coin is tossed 15 times,

to find the probability of getting 12 heads,

P(X ≥ 12)  Probability of at least 12 successes

At least 12 successes include X-values of

X=12, 13, 14, 15

To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,

P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

p(x) = ⁿCₓpˣqⁿ⁻ˣ

n = 15

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ +  ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴

                      +  ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵

P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045  + .0000030

      P(X ≥ 12) = 0.01757

Hence probability is  0.01757.

Learn more about Binomial Distribution;

https://brainly.com/question/14565246

#SPJ6

Answer:

Length = 17 cm

Width = 8 cm

Step-by-step explanation:

Let the length be x cm

Therefore, Width = (x - 9) cm

Perimeter of rectangle = 2(l +w)

50 = 2[x + (x - 9)]

50/2 = 2x - 9

25 = 2x - 9

25+ 9 = 2x

2x = 34

x = 34/2

x = 17 cm

x - 9 = 17 - 9 = 8 cm

Therefore,

Length = 17 cm

Width = 8 cm

Thus, the dimensions of the rectangle are 17 cm and 8 cm.

Answer:

252 cm²

Step-by-step explanation:

Basically I just split up the figure into three smaller rectangles and then found the lengths and widths of all of them. Then I found the area of all of them by multiplying the sides and then added up all the three areas together.

Plz let me know if you want a more in depth explanation and I can help more in the comments!

Answer:

1e+18

Step-by-step explanation:

Answer:

i dont know what youretalking about there isnt a triangle there

a Step-by-step explanation: the total degree of a triangle is 180 degrees

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet

Answer:

4 packs of erasers and 0 packs of pencils

Step-by-step explanation:

To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs

Answer:

x = 66

Step-by-step explanation:

Shapes with four sides are always 360 degrees

x + x - 20 + x + 40 + 2x + 10 = 360

combine like terms

5x + 30 = 360

subtract 30 from both sides

5x = 330

divide 5 from both sides

x = 66

Answer:

₹16

Step-by-step explanation:

1/4 kg = ₹ 40

1kg = 40×4 = ₹160

1000g = 1kg

100g = 100/1000 kg

= 0.1kg

0.1kg= 0.1×160 = ₹16

Answer:

C. 2 years at 6.5 percent

Step-by-step explanation:

I took the quiz and got it right Edg.2021

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4