Mathematics High School

Find the tangents of the acute angles in the right triangle. Write each answer as a fraction 61,11,60

Answers

Answer 1

Answer:

[tex]tan(S)= \frac{28}{45}[/tex]

[tex]tan(R) = \frac{45}{28}[/tex]

Step-by-step explanation:

Given

[tex]RS = 53[/tex]

[tex]ST = 45[/tex]

[tex]RT =28[/tex]

See attachment for triangle

Solving (a): The tangent of S

Using tan formula:

[tex]tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]tan(S) = \frac{RT}{ST}[/tex]

[tex]tan(S)= \frac{28}{45}[/tex]

Solving (b): The tangent of R

Using tan formula:

[tex]tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]tan(R) = \frac{ST}{RT}[/tex]

[tex]tan(R) = \frac{45}{28}[/tex]

Find The Tangents Of The Acute Angles In The Right Triangle. Write Each Answer As A Fraction 61,11,60

Related Questions

Triangle DEG is congruent to triangle?

Answers

Answer:

ΔDEG ≅ ΔFGE

Side-Angle-Side

Step-by-step explanation:

DG ║ EF  because DG⊥DE and GF⊥EF

∠DGE ≅ ∠FEG because alternate interior angles of parallel lines are congruent

so Side-Angle-Side proves congruency

what is the slope of the equation y=2/3x-4

Answers

Answer:

2/3

Step-by-step explanation:

y=mx+b

y=2/3x-4

m=slope

b=y intercept

Help, and can you show your work?

Answers

Step-by-step explanation:

answer A is correct

................

Answer:

c

Step-by-step explanation:

[tex]sin = \frac{opposite}{hypotenuse}[/tex]

it wants us to find sin a

the opposite of a is 24 and the hypotenuse is 26

so sin A = 24/26

[tex]cos = \frac{adjacent}{hypotenuse}[/tex]

it wants us to find cos a

the adjacent of a is 10 and the hypotenuse is 26

so cos A = 10/26

have a great day :D

Find the solution of the system of equations shown below. Show the work that leads to your answer. y = -2x x + y = 3

Answers

hope this makes sense and helps!

Please help meh with this question if you get it correct I'll give tah brinleist!! Tyy!! °^°

Answers

Answer:

area

Step-by-step explanation:

Answer:

area area area area rea (minimum character limit)

TIMED TEST. HELP

The standard form of an absolute value function is fx) = a |x-h| + k. Which of the following represents the vertex?
O (-k, h)
0 (-h, k)
O (k, h)
O (h, k)

Answers

I believe it is B, k is always y, meaning -h would have to be x
The answer Is B!! Hope this helps

properties of parallelograms worksheet answers milliken publishing company mp3497 page 24

Answers

Answer:

what?

Step-by-step explanation:

Answer: you need to show the worksheet so we can help

Step-by-step explanation:

what is the solution to the system? with a graph
y=-x+2
y=3x-1​

Answers

Answer:

x = 3/4

y = 5/4

Step-by-step explanation:

Step:

Substitute−x+2 for y in y=3x−1:

y=3x−1

−x+2=3x−1

−x+2+−3x=3x−1+−3x(Add -3x to both sides)

−4x+2=−1

−4x+2+−2=−1+−2 (Add -2 to both sides)

-4x = -3

x=3/4

Step: Substitute x into the original equation

y=-3/4 + 2

y=5/4

Hope this helps!!

 

A gorilla population is decreasing at a rate of 8% every year. What is the decay factor for this situation?

Answers

Answer:

0.92

Step-by-step explanation:

Please help asap Bringing my grade up ! thank you!!!

Answers

Answer:

See answers below, Hope this helps! :)

Step-by-step explanation:

Okay sure the answer is time multiplied by 4 equals the distance

Someone plz help but instead of sending a link because I can’t open then can you please just tell me, thanks!

Answers

Answer:

Options A and C and F are correct.

Step-by-step explanation:

5(2+4)

5*2+5*4

5*6

Have a great day! :)

and can I please have brainliest?

Thanks!

Answer: Your answers would be 5(2+4), 5x2+5x4, and 5x6

Hope this helps you!

72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES? HOW DO I SHOW MY WORK FOR THAT???!!!!!
correct=brainliest

Answers

Answer:

72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .

Step-by-step explanation:

What is the mean of the following data set 5,9,5,2,,10

Answers

Answer:

6.2

Step-by-step explanation:

Answer:

6.2

Step-by-step explanation:

mean is equal to all the numbers in the data set added together divided by the number of numbers in the data set

∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 37^\circ37 ∘ 37, degrees. What is the measure of \angle b∠bangle, b?

Answers

Answer:

∠b= 53

Step-by-step explanation:

?????????????????????

Answers

Answer:

Y= 10

angle D= 76

angle C=40

angle E=64

Step-by-step explanation:

Becky borrowed $580.00 from the bank. The loan had a 13.5% simple annual interest rate, and she paid off the bill over 1.5 years. What was the total amount, including interest, Becky paid for the loan?

Answers

Answer:

697.45

Step-by-step explanation:

interest for the first year = 13.5 % of 580 = 78.3

for 0.5 year, it will be 78.3 /2 =39.15

1year + 0.5 year = 78.3 + 39.15= 117.45

add that to borrowed amount to get total amount paid

117.45+ 580= 697.45

Please help!! Find the radius r.

Answers

if u need to go from radius to diameter multiply radius times 2: d=2r

If the sum of 37 and 12 x is 286, what is the value of x?

Answers

Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75

Help Me please i need some help :)

Answers

A=45
Explanation:
A= a+b/2*h

At a soccer tournament 121212 teams are wearing red shirts, 666 teams are wearing blue shirts, 444 teams are wearing orange shirts, and 222 teams are wearing white shirts. For every 222 teams at the tournament, there is 111 team wearing \_\_\_\_____\_, \_, \_, \_ shirts. Choose 1 answer:

Answers

Complete Question

At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts, and 2 teams are wearing white shirts. For every 2 teams at the tournament, there is 1 team wearing ____

Answer:

For every 2 teams at the tournament, there is 1 team wearing RED SHIRTS

Step-by-step explanation:

Step 1

We add all the teams together

Red + Blue + Orange + White

12 + 6 + 4 + 2

= 24 teams

Step 2

We have 12 red teams.

If we find the ratio of red team to total number of teams

= 12 :24

= 1:2

Therefore, for every 2 teams at the tournament, there is 1 team wearing RED SHIRTS

Question 1 (1 point)
What value of n makes the equation
0.2(n + 4) = 4.7n - 2.8 true?
A n = 0.8
B n = 1.25
Cn=-0.48
Dn=0.96
А
B
C
D

Answers

Answer:

a     n=0.8

Step-by-step explanation:

(Evaluating Expressions) If x = 1, y = 3, and z = 2, what is the value of the expression 4xy + 3xz + 7y? *

Answers

Answer:

39

Step-by-step explanation:

4 x 1 x 3 + 3 x 1 x 2 + 7 x 3

4 x 3 + 3 x 1 x 2 + 7 x 3

12 + 3 x 1 x 2 + 7 x 3

12 + 3 x 2 + 7 x 3

12 + 6 + 7 x 3

12 + 6 + 21

39

The expression on the left side of an equation is shown below.

3 x + 9 = box

If the equation has no solution, which expression can be written in the box on the other side of the equation?

Answers

I got no clue how to do this bruvvvvvvvvv

please help marking u Brainiest if answered

Answers

It is the last option !!!!!!!!!!

There are about half a million heart attacks deaths in the United States of America each year acording to womensheart.Org about how many heart attack deaths is there each hour ]

Answers

Answer:

57 deaths per hour

Step-by-step explanation:

In one year, we have 365 days.

Now, there are 24 hours in a day.

Thus,

Number of hours in one year = 365 × 24 = 8760 hours

Now, since there are half a million heart attacks deaths occurring in the United States of America each year, it means that;

There are 500000 deaths every 8760 hours.

Therefore, death rate per hour = 500000/8760 ≈ 57 deaths per hour

what quadrilateral can you draw that has exactly one pair of parallel sides

Answers

Answer:

trapezoid

Step-by-step explanation:

$1400 is invested at 2% per annum simple interest. How long will it take for the total amount to reach $1624?

Answers

Answer:

7.5 years.

Step-by-step explanation:

Use A = 1400(1+0.02)^7.5

The 1400 is the starting money. The 1 is a constant. The 0.02 is the 2% in decimal form. And the 7.5 is years. I found that by just continually increasing it until it hit 1624.

Hope this helps

A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.

Answers

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°

Which value of x is a solution to this equation? 5x^2-36x+36
A. -6
B. 4
C. -1.8
D. 1.2​

Answers

Answer:

D) 1.2

Step-by-step explanation:

In parallelogram ABCD, if ED = 7x - 13 and BD = 16x - 38, find BD.

Answers

Answer:

58

Step-by-step explanation:

The length of BD is 58  units.

What are properties of parallelogram?

The two diagonals cut across one another. The parallelogram is divided into two congruent triangles by each diagonal. A parallelogram's total square sum and total square sum of its diagonals are equivalent. Additionally known as the parallelogram law.

Given:

ED = 7x - 13 and BD = 16x - 38

So, the Diagonals of parallelogram bisect each other

BD = ED+ EB

16x - 38 = 2 ED   { ED= EB}

16x - 38 = 2 (7x- 13)

16x - 38 = 14x - 26

2x = 12

x= 6

So, length of BD = 16(6) - 38 = 96- 38 = 58 units

Learn more about properties of parallelogram here:

https://brainly.com/question/26651476

#SPJ2

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