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Mkey [24]
3 years ago
10

Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer: x = 12

Step-by-step explanation:

We can see two triangles rectangles, we will use the angle S to solve this, as this angle is common to both triangles.

We know that:

cos(S) = adj cathetus/hipotenuse.

Then we have, for the triangle SRT.

Cos(S) = 9/SR.

for the big triangle, SQR, we have:

Cos(S) = SR/(9 + 16)

now we can find the quotient of those two equations and get:

cos(S)/cos(S) = 9/Sr*(9+16)/SR

SR^2 = 9*(25)

SR =  15.

Now with this side we can find the value of x.

We can use the Pythagorean theorem in the triangle SRT, where the sum of the squared cathetus is equal to the hypotenuse:

9^2 + x^2 = 15^2

x = √(15^2  - 9^2) = 12

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loris [4]

We are given a table of frequencies, so in order to find probability associated with it, we need to start by adding all the numbers in the frequency, since that would give us the totals:

We add :

7.7 + 8.2 + 24.1 + 25.6 + 51.5 + 29. 4 = 146.5

Now, notice that they ask you to find the probability associated with a voter chosen at random to be in a group DIFFERENT from the range 21 to 24, That means the complementary of this range, which is therefore

146.5 - 8.2 = 138.3 (since 8.2 is the frequency for the 21 - 24 years/age range.

Then the probability is the quotient:

138.3 / 146.5 = 0.9440273 which in percent terms is 94.4 %

If you teacher wants the probaility in decimal (math) form, use 0.944.

If he/she wants it in percent form, use 94.403% (using

8 0
1 year ago
How many solutions does the equation 4s + 8 = 3 + 5 + 4s have?
cluponka [151]

Answer:

The answer is none.

Step-by-step explanation:

5 0
2 years ago
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Draw hundred boxes, ten sticks, and circles to show a number between 100 and 200. What number did you show?
dolphi86 [110]
One hundred box, two sticks, and three circles.. to spell out 123! (I think)
7 0
3 years ago
To the nearest thousandth, what is the decimal form of 9/14​
Karo-lina-s [1.5K]

Answer:

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Step-by-step explanation:

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2 years ago
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An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s
marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0
3 years ago
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