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bezimeni [28]
3 years ago
15

What is the measure of <R? ​

Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer:

<R=23°

Step-by-step explanation:

The sum of angles in a triangle is 180°

So, <R + <S + <T = 180°

<R+90°+67°=180°

<R+157°=180°

<R=23°

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Tan(x-y) if cscx=13/5 and coty=4/3
ehidna [41]

Answer:

tan(x-y) = -16/63

Step-by-step explanation

Tan(x-y) if cscx=13/5 and coty=4/3

Given

coty = 4

1/tany = 4/3

Cross multiply

tan y = 3/4

Also since cscx = 13/5

1/sinx = 13/5

sinx = 5/13

Since sinx = opp/hyp

opp = 5

hyp = 13

Get the adjacent

hyp² = opp²+adj²

13² = 5²+adj²

adj² = 13² - 5²

adj² = 169 - 25

adj² = 144

adj = 12

cosx = adj/hyp

cosx = 12/13

tanx = sinx/cosx

tanx = (5/13)/(12/13)

tanx = 5/13 * 13/12

tan x = 5/12

tan(x-y) = tanx - tany/1+tanxtany

tan(x-y) = (5/12 - 3/4)/1+(5/12)(3/4)

tan(x-y) = (5-9/12)/1+5/16

tan(x-y) = -4/12/(21/16)

tan(x-y) = -1/3 * 16/21

tan(x-y) = -16/63

3 0
2 years ago
If you want to make 2 1/2 Batches of cookies and you need one and 1 2/3 cups of flour per cookie batch how much flower do you ne
cupoosta [38]

Answer:

you need 4 1/3 cups of flower

5 0
2 years ago
4.
Vika [28.1K]
Length of bc is 8
hope this helps :))
3 0
2 years ago
Select all the correct equations.
Naya [18.7K]

Answer:

You did not post the options, but i will try to answer this in a general way.

Because we have two solutions, i know that we are talking about quadratic equations, of the form of:

0 = a*x^2 + b*x + c.

There are two easy ways to see if the solutions of this equation are real or not.

1) look at the graph, if the graph touches the x-axis, then we have real solutions (if the graph does not touch the x-axis, we have complex solutions).

2) look at the determinant.

The determinant of a quadratic equation is:

D = b^2 - 4*a*c.

if D > 0, we have two real solutions.

if D = 0, we have one real solution (or two real solutions that are equal)

if D < 0, we have two complex solutions.

3 0
3 years ago
Justin wants to cover the top of a circular swimming pool to keep insects out of the pool. If the diameter of the pool is 20 fee
evablogger [386]

Answer: The area is approximately 314 ft^2

Step-by-step explanation:

Well if the diameter is 20  feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula

A= \pi r^{2}  where A is the area and pi times the radius squared.

We will represent pi by 3.14  

A= 3.14* 10^2

A= 3.14 * 100

A = 314

6 0
3 years ago
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