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3 years ago

A. 20 mph B. 35 mph C. 70 mph D. 100 mph

Mathematics

2 answers:

jeka943 years ago

6 0

Girl it’s D, i’m kidding i don’t know but what grade are you in this looks easy

marishachu [46]3 years ago

5 0

The answer is B. 35 mph

Speed is shown as distance/time

If you pick a point, for example 70 miles and divide it by the time which is 2 hours, then you get 35 miles per hour

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3(-11+3i)+6(-6+i) can someone show me how to do this equation?

Andre45 [30]

Assuming "i" is an imaginary unit:
$3(-11+3i)+6(-6+i) =\\
-33+9i-36+6i=\\
-69+15i$

4 0

3 years ago

Consider the following system of equations. x + y = 11 2x - 3y = -3 Which equation can be added to the system so the solution do

3241004551 [841]

Answer:

Step-by-step explanation:

We have to find the system in which we can use the x and y from the given system of equations and make it hold true

From the given equations:

$x+y = 11\\2x - 3y = -3$

multiply top equation by -2 and add them

$-2x - 2y = -22\\2x - 3y = -3\\-5y = -25\\y = 5\\x + 5 = 11\\x = 6$

so, x = 6, y = 5

A: x-y = 2

6 - 5 = 1, so its not a

B: -2x + 2y = -2

-2(6) + 2(5) = -12 + 10 = -2

B works

just looking at C and D I can tell it doesnt work

So the answer is B

3 0

3 years ago

HELP ALERT ALERT MATH PROBLEM

Lisa [10]

Multiple 15 by 6, the answer is 90 square cm

7 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

4 years ago

How do I multiply a decimal with another decimal?

Lapatulllka [165]

If you have no calculator, pretend like the decimals aren’t there then add them back depending on how many places you have after the decimal. for example: 2.5 times 2.5, if you pretend there are no decimals, you get 625, then you have to add the decimals back. since you have 1 digit after each decimal in each number, you add 1+1=2 to get the number of places you have to add back. so you get 6.25

6 0

3 years ago

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