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vladimir2022 [97]
3 years ago
14

What number should be added to 78to get a sum of 97

Mathematics
2 answers:
notsponge [240]3 years ago
8 0

Answer:

19

Step-by-step explanation:

All you need to do is subtract 78 from 97 to find the "remainder." Or you can also add until you get to 97.

97 - 78 = 19

78 + 19 = 97.

aalyn [17]3 years ago
4 0

THE ANSWER TO THAT PROBLEM IS SIMPLY 175

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What is the volume of the rectangular prism with 16cm , 9cm, and 4cm
aleksley [76]

Answer:

576 cm cubed

Step-by-step explanation:

9 x 16 x 4 = 576

8 0
3 years ago
A road has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run.
fenix001 [56]

The grade is the ratio of rise to run, i.e. the slope aka the tangent.

\tan \theta = \dfrac{1}{10}

\theta = \arctan 0.1 \approx 5.711^\circ

Answer: (a) 6 degrees

For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10.    The height h or rise is the side opposite the small angle.

\sin\theta = \dfrac h c

h = c \sin \theta

We could just take the sine of the angle we got but let's get it from the tangent exactly.

\cos^2 \theta + \sin ^2 \theta = 1

Dividing by squared cosine

1 + \tan ^2 \theta = 1/\cos^2 \theta = 1/(1- \sin^2 \theta)

(1- \sin^2 \theta) = 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + \tan^2 \theta)

\sin^2 \theta = 1 - 1/(1 + (1/10)^2) = 1-1/(101/100) = 1/101

h = c \sin \theta = 2 \sqrt{1/101} \approx 0.199

Answer: (b) Rise of 0.199 km

6 0
3 years ago
Water stations will be placed every 400 meters of a 5 - kilometer race. How many water stations are needed? (hint 1 kilo=1,000 m
Neko [114]
1 kilo=1000 meters. 
The race is 5,000 meters total.
5000 divided by 1 station every 400 miles.
5000/400=12.5
12.5 water stations!
<em />I dont know if you're supposed to round but there you go!
8 0
3 years ago
PLEASE ANSWER ASAP TODAY WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER.
Lisa [10]

Answer:

y-7=3(x-9)

Step-by-step explanation:

It appears they want your answer in point-slope form, which is identified by the equation y-y1=m(x-x1)

Step 1: Find the slope (m)

m=(y2-y1)/(x2-x1)

m=(-8-7)/(4-9)

m=(-15)/(-5)

m=3

The slope is m=3

Step 2: Plug in m, y1, and x1

y-y1=m(x-x1)

y-7=3(x-9)

Therefore our final equation is y-7=3(x-9)

7 0
3 years ago
You are building a rectangular garden against the
Harman [31]

The area of the garden needs to be greater than 400 square feet but less than 600 square feet
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3 years ago
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