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Rufina [12.5K]
3 years ago
10

A projected image appears as an isosceles trapezoid.

Mathematics
2 answers:
Komok [63]3 years ago
6 0
7x + 4 + 9x = 180
16x = 176
    x = 11

9x = 9x11 = 99
7x + 4 = 7(11) + 4 = 77 + 4 = 81

<span>in order to form a rectangular image, each angle needs to be equal 90 degreesn

99 - 9 = 90
81 + 9 = 90

answer

</span><span>B. 9°</span>
ziro4ka [17]3 years ago
5 0

Answer:

B. 9°

Step-by-step explanation:

The given figure is an isosceles trapezoid.

Isosceles trapezoid means the non parallel sides must be equal.

In a trapezoid adjacent angles add upto 180 degrees. We are going to use this property to solve this problem.

In order to make the isosceles trapezoid to the  rectangle, the top angles must be 90 degrees.

Given: (7x + 4) and  9x are adjacent angles that are add upto 180 degrees.

So, 7x + 4 + 9x = 180

Simplify the above equation, we get

16x + 4 = 180

16x = 180 - 4

16x = 176

Dividing both sides by 16, we get

x = 176/18

x = 11

Now let's find the each angle measures by plugging in x = 11

7x + 4 = 7(11) + 4 = 77 + 4 = 81 degrees

9x = 9x11 = 99 degrees

We are asked how many degree larger do the angles in the lower left and lower right corner should adjusted

In the lower left, we need to 9 degrees

81 + 9 = 90

In the lower right, we have to subtract 9 degrees.

99 - 9 = 90

So the answer is B. 9°

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What is the volume, in cubic M, of a cylinder with a height of 13M and a base radius of 3M, to the nearest 10th Place?
irina [24]

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

7 0
3 years ago
Read 2 more answers
3 2/4 pieces f cake after party eats 1 /2/3 next night how much does she have left
xz_007 [3.2K]
The person has 1 5/6 cake left because 3 2/4 - 1 2/3 = 1 5/6! Hope this helps ^0^

Explanation 
Rewriting Expression in different parts.
= 3 + 2/4 + 1 + 2/3.

Solving The Whole Number Parts.
3 + 1 = 4

Solving The Fraction Parts.
2/4 + 2/3 = ?

Find the LCD of 2/3 and 2/4 and Rewrite to solve with equivalent Fractions.
LCD = 12

6/12 + 8/12 = 14/12

Simplify the Fraction Part.
14/12 = 7/6

Simplify The Fraction Part Again.
7/6 = 1 1/6

Combining The Whole Numbers With The Fractions.
4 + 1 + 1/6 = 5 1/6 

Hope this helps ^0^! ;D
8 0
3 years ago
Ignoring leap days, the days of the year can be numbered 1 to 365. Assume that birthdays are equally likely to fall on any day o
faust18 [17]

Answer:

Follows are the solution to the given question:

Step-by-step explanation:

They can count the days of the year 1 to 365. The random project consists of drawing a sample of n objects from D where elements are n people's birth in a group but instead, D = {1,....365}. And then there's the issue.

S=365^n

This because the list of future birthdays of n people was its test point; therefore m points will be in the sequence so each point contains 365 distinct outcomes. The probability function P for \Omega is that any event is likely to happen in 365 days.

P(x)=\frac{1}{365^{n}}

if x is between 1 and 365 as well as the occurrence is just all similarly possible

In point i:

That somebody mentions their birthday throughout the party

Guess I was born on day b. Therefore the consequence of "x is in A" is "b is now in the series of x," which is to say, b = bk for some amount k approximately 1 and n.

In point ii:

Any 2 persons share the same birthday at this party". A result x is in B" means which "two of entries in x are same." This means that perhaps the outcome x is in B if or only if bj = bk is in B of two numbers j, and k of 1, of two. , no, n.

In point iii:

Many three students share the same birthday with both the party. The consequence is x at the level of C only when bj = bk = bl at three (different) indices, j, k, l, 1. , no, n.

6 0
2 years ago
1) A building is 190 feet tall and has a shadow that is also 190 feet. Determine the angle of elevation from the tip of the shad
iren2701 [21]

Answer:

C. 45

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
M∠A = 40º
denis23 [38]
180-40=140. 140/5 = 28

x= 28

angle B: 5(28) = 140
140 + 40 = 180

180=180
7 0
2 years ago
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