pls answer the problem below

Given:

The sides of each brace have lengths 63 feet, 46 feet, and 40 feet.

To find:

The measure of the angle opposite the 46 foot side.

Solution:

According to the Law of Cosines:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

We need to find the measure of the angle opposite the 46 foot side. So, [tex]a=46[/tex] and the other sides are [tex]b=63,c=40[/tex].

[tex]\cos A=\dfrac{(63)^2+(40)^2-(46)^2}{2(63)(40)}[/tex]

[tex]\cos A=\dfrac{3969 +1600-2116}{5040}[/tex]

[tex]\cos A=\dfrac{3453}{5040}[/tex]

[tex]\cos A=\dfrac{1151}{1680}[/tex]

Taking cos inverse on both sides, we get

[tex]A=\cos^{-1}\dfrac{1151}{1680}[/tex]

[tex]A=46.75503[/tex]

[tex]A\approx 47[/tex]

Therefore, the measure of the angle opposite the 46 foot side is 47 degrees.

Answer:

Step-by-step explanation:

11q + 5 <= 49

11q <= 44

q <= 4

answer is B

Answer:

16.97 feet

Step-by-step explanation:

a^2=b^2+c^2

24^2=576

b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet

Answer:

1900M

Step-by-step explanation:

If the athlete runs round a rectangular park, the distance covered can be determined by calculating the perimeter of the park

Perimeter of a rectangle = 2 x (length + width)

2 x (60 + 35) = 190m

Since he run rounds 10 times, the total distance covered = 190m x 10 = 1900m

Answer:

C. 4 cm

Step-by-step explanation:

"Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle."

So, divide 8 by 2

⇒8/2

⇒ 4

==================================================================

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    -Aadi x

Answer:

y = x

Step-by-step explanation:

Answer:

y=x should be correct since both the x and y values are equal in the table.

Answer:

2190 miles

Step-by-step explanation:

Answer: 600$$

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Coin 2 sides, 1/2 chance to get heads.

Spinner 10 numbers, 5 even, 1/2 change to get even.

1/2x1/2

1/4

Answer:

There would be 15 tablespoons of lime juice and 12 tablespoons of soy sauce.

Answer:25

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

52.5 seconds.

Step-by-step explanation:

21/8 is the ratio of how long it takes the person to assemble one box. which is 2.625 times that by the pizza boxes and you got the answer

Answer:

10.5

Step-by-step explanation:

      21+21=42

      21/8=2.625

      2.625×4=10.5

        MAKE ME BrAiNlIeSt PLS!!!!

         IF WRONG SORRY

Answer:

pretty sure it's b

Step-by-step explanation:

filler filler filler

Answer:

20/9

Step-by-step explanation:

Answer:

[tex]y = - \frac{20}{9} [/tex]

Step-by-step explanation:

[tex]4y + \frac{5}{3} = y - \frac{10}{2} \\ 4y + \frac{5}{3} = y - 5 \\ 4y - y = - 5 - \frac{5}{3} \\ 3y = - \frac{20}{3} \times \frac{1}{3} [/tex]

[tex] y = - \frac{20}{9} [/tex]

Answer:

IQR = 20

Step-by-step explanation:

Quartile 1 = 25

Quartile 3 = 45

To find the interquartile range, take Q3 from Q1

45 - 25 = 20 .

Answer:

(- 0.5, 5.5 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (1, 7) , then

midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{4+7}{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{11}{2}[/tex] ) = ( - 0.5, 5.5 )

Answer:

4 miles

Step-by-step explanation:

Answer:

14 m is more

Step-by-step explanation:

14 meters = 1400 cm

14 x 100=1400

Answer:

14 m is more

Step-by-step explanation:

1 m = 100 cm

14 m

= 14 x 100

= 1400 cm

1400 cm > 140 cm

14 m > 140 cm

g(1) = 4

g(n) = g(n-1).(-3)

g(3)= 2g(2) = 24 = 16

Answer:

(c) or 10 is the answer

Step-by-step explanation:

In order to find slope you have to follow the formula

(y2-y1) / (x2-x1)

That would give you the slope which in this case is 10.

Answer:

5/4

Step-by-step explanation:

Answer:

I am filipino culture :))

Answer:

Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))

Step-by-step explanation:

Answer:

B. 34

Step-by-step explanation:

sohcahtoa

tan x = 100/150

tan x = .667

x = 33.7

Answer:

4(x + 1)^2 - 12.

Step-by-step explanation:

f(x) = 4x^2 + 8x - 8

f(x) = 4(x^2 + 2x) - 8

f(x) = 4[(x + 1)^2 - 1) - 8

f(x) = 4(x + 1)^2 - 4 - 8

f(x) = 4(x + 1)^2 - 12.

Step-by-step explanation:

Step 1: On the horizontal axis, we can choose the scale to be 1 unit = 11 lb.Since the weights in the table start from 65, not from 0, we give a break/kink on the X-axis. Step 2: On the vertical axis, the frequencies are varying from 4 to 10.Thus, we choose the scale to be 1 unit = 2.

Step-by-step explanation:

answer is 20.31

I'm positive

Answer:

[tex]P(Z)=\frac{8}{15}[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=10[/tex]

Green pins [tex]x=7[/tex]

Blue pins [tex]y=3[/tex]

Generally the probability of getting two green is mathematically given by

[tex]P(2X)=\frac{7}{10}*\frac{6}{9}[/tex]

[tex]P(2X)=\frac{7}{15}[/tex]

Generally the probability of getting two blue is mathematically given by

[tex]P(2Y)=\frac{3}{10}*\frac{2}{9}[/tex]

[tex]P(2Y)=\frac{1}{15}[/tex]

Therefore the probability that both pins are the same color P(Z)

[tex]P(Z)=P(2Y)+P(2X)\\P(Z)=\frac{7}{15}+\frac{1}{15}[/tex]

[tex]P(Z)=\frac{8}{15}[/tex]