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Verizon [17]
3 years ago
8

Write the slope intercept equation of a line that has a slope of -3/5 & y-intercept of (0,-4)

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

y= -3/5x-4

Step-by-step explanation:

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy
vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

cos(Y)=\frac{ZY}{XY} ---> adjacent side divided by the hypotenuse

substitute the values

cos(30\°)=\frac{ZY}{4}

Remember that

cos(30\°)=\frac{\sqrt{3}}{2}

so

substitute

\frac{\sqrt{3}}{2}=\frac{ZY}{4}

ZY=(4)\frac{\sqrt{3}}{2}

ZY=2\sqrt{3}\ units

step 2

sin(Y)=\frac{XZ}{XY} --> opposite side divided by the hypotenuse

substitute the values

sin(30\°)=\frac{XZ}{4}

Remember that

sin(30\°)=\frac{1}{2}

so

\frac{1}{2}=\frac{XZ}{4}

XZ=2\ units

step 3

tan(Y)=\frac{XZ}{ZY} --> opposite side divided by adjacent side

substitute the values

tan(Y)=\frac{2}{2\sqrt{3}}

tan(Y)=\frac{1}{\sqrt{3}}

Simplify

tan(Y)=\frac{\sqrt{3}}{3}

so

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0
3 years ago
Read 2 more answers
An animal shelter has a bin filled with 456 pounds of dog food there are 4 large dogs at the shelter who each eat 2 pounds of th
Y_Kistochka [10]

If there are 4 dogs and they each eat 2 pounds of food each day. Then, all together there are 8 pounds of food getting eaten each day. You will want to divide 456 by 8.

456/8= 57 days.

456 punds of dog food will last 57 days for 4 dogs.

7 0
3 years ago
How to answer this problem
tangare [24]
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees

since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.

since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
4 0
3 years ago
What's 9 + 10 ? give me the right answer
Nataliya [291]

Answer:

19

Step-by-step explanation:

Add 9 to 10

7 0
2 years ago
Theorems are understood as true and do not need to be proved.<br><br> True<br><br> False
patriot [66]

The answer is FALSE. Theorem, as applied in mathematics, is a statement that has been proved having a basis of laborious mathematical reasoning. The statement that is assumed to be true without proof is called axiom or postulate. Theorems are proved using axioms.  

8 0
3 years ago
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