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dolphi86 [110]
2 years ago
10

Which of the following choices shows the equation solved for y

Mathematics
1 answer:
katen-ka-za [31]2 years ago
8 0

Answer:

#1; y = -\frac{7}{2}x+5

Step-by-step explanation:

7x+2y=10

2y = -7x + 10

\frac{2y}{2} = -\frac{7x}{2} + \frac{10}{2}

y = -\frac{7}{2}x + 5

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What is the area, in square millimeters, of a right triangle with a hypotenuse of 68 millimeters and a leg of 60 millimeters?
Paladinen [302]
First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).

x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side

A = (1/2)(32) (60) = 960 mm²
6 0
3 years ago
Lacy wants to paint her bedroom walls she has to cover 1,162.5 ft.² about how many gallons of paint will she need
Lunna [17]
I don't know how far the gallon of paint goes on the walls. So I would figure out how far the gallon of paint goes then divide it by 1,162.5 ft.2







7 0
3 years ago
Question<br> What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
vlada-n [284]

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

To learn more about trigonometric equations click :

brainly.com/question/14746686

#SPJ1

5 0
9 months ago
Seven times the sum of a number and 4 equals 8.
Ksju [112]

Answer:

7*(n+4) =8

Step-by-step explanation:

seven times the sum

7*(

of an number and 4

7*( n+4)

equal 8

7*(n+4) =8

6 0
2 years ago
Read 2 more answers
What is the answer?<br><br> Y=x-6 and y=2x
Rashid [163]
\begin{cases}y=x-6\\y=2x\end{cases}\implies~x-6=2x\implies~x=-6

which means

y=x-6=y=-6-6=-12
4 0
3 years ago
Read 2 more answers
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