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Alecsey [184]
3 years ago
6

The square root of the sum of a number is 4 is 5. Find the number. What is it?

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:   21

<u>Step-by-step explanation:</u>

\sqrt{n+4}=5\\\\(\sqrt{n+4})^2=(5)^2\\\\n+4=25\\.\underline{\ \ -4\ \ -4}\\\boxed{n\quad \ =\ 21}

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What is the speed of a car that is traveling 150 miles in 3 hours? Show your work
Ira Lisetskai [31]

Answer:

speed =  \frac{distance}{time}  \\ speed =  \frac{150}{3}  \\  = 50 \: miles \: per \: hour

6 0
2 years ago
Read 2 more answers
One of the tallest buildings in a country is topped by a high antenna. The angle of elevation from the position of a surveyor on
irina1246 [14]

Answer:

a. distance of the surveyor to the base of the building = 2051.90 ft

b. height of the building = 1384 ft

c. Angle of elevation from the surveyor to the top of the antenna = 38.31°

d. Height of antenna  =  237.08 ft

Step-by-step explanation:

​The picture above is a illustration of the described event.

a = the height of the flag

b = the height of the building

c = distance of the surveyor from the base of the building

the angle of elevation from the position of the surveyor on the ground to the top of the building = 34°  

distance from her position to the top of the building  = 2475 ft

distance from her position to the top of the flag  = 2615 ft

​(a) How far away from the base of the building is the surveyor​ located?​

using the SOHCAHTOA principle

cos 34° = c/2475

c =  0.8290375726  × 2475

c = 2051.8679921

c = 2051.90 ft

(b) How tall is the​ building

The height of the building = b

sin 34° = opposite /hypotenuse

0.5591929035 = b/2475

b =  0.5591929035  × 2475

b =  1384.0024361

b =  1384.00 ft

​(c) What is the angle of elevation from the surveyor to the top of the​ antenna?

let the angle = ∅

cos ∅ = adjacent/hypotenuse

cos ∅ = 2051.90/2615

cos ∅ =  0.784665392

∅ = cos-1  0.784665392

∅ =   38.310258303

∅ =  38.31°

​(d) How tall is the​ antenna?

height of the antenna = a

sin 38.31° = opposite/hypotenuse

sin 38.31° = (a + b)/2615

sin 38.31° × 2615 = (a + b)

(a + b) =  0.6199159917  × 2615

(a + b) =  1621.0803182

(a + b) = 1621. 08 ft

Height of antenna = 1621. 08 - 1384.00  =  237.08031822 ft

Height of antenna  =  237.08 ft

8 0
3 years ago
Y intercepts of 3x^2-12x+6
Inessa05 [86]
Y=3x^2. -12x+6

If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6

y intercept is the place where the curve touches the y-axis and is at point (0, 6)
6 0
3 years ago
Please help me I’m trying to pass this
melamori03 [73]

Answer:

I think the answer is D

Step-by-step explanation:

SOHCAHTOA

sin- Opposite and hypotenuses

Cos- Adjacent and Hypothesis

Tan- Opposite and adjacent

DE is opposite and DF is hypotenuses

7 0
3 years ago
What formula do i use when it tells me to find the area with a given circumference? If you know please give an example as well,
liberstina [14]

Answer:

Step-by-step explanation:

A = C^2 / 4 x pi

so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).

you would then just divide 100 by 12.57 = 7.96 ( rounded)

hope it helped

6 0
3 years ago
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