If cos(2/3(x) + 20) ° = sin(2x – 10)”, find the acute angles of the corresponding right triangle.

Answers

Answer 1

recall that

sin(x) = cos(90-x)

therefore

cos((2/3)x + 20) = cos(90 - [2x - 10])

(2/3)x + 20 = 100 - 2x

2x + (2/3)x = 80

divide through by 2

x + (1/3)x = 40

(4/3)x =40

4x = 40*3

4x = 120

x = 30

since it is a right angled triangle, the angles are 30, 60 and 90

Answer 2

Answer: A=40 B=50

I just took the test


Related Questions

If a 30-Foot tree cast an 18-foot shadow, find the length of the shawdow cast by a 27- foot tree

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Answer:

your answer is 14.4 ft

Step-by-step explanation:

have a nice day

Select the correct answer.
Simplify the expression.

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Answer:

your answer will be Option B

Step-by-step explanation:

hope it helps

The answer is B, I worked it out and that is what i got

Please help me fill in the blank! Thank you!!

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Answer:

The fraction of 6% is 6/10 and the model is 10 squares and only color 6 of them

YOU WELCOME :)

Answer:the fraction of 6% is 6/10

Step-by-step explanation:and the model is 10 squares and only color 6 of them

The sum of a number and its additive inverse is

Answers

Answer:

1+1=2 additive inverse 1/2

Step-by-step explanation:

hope it helps

WILL MARK BRAINLIEST IF YOU SOLVE THIS PLEASE

Answers

Answer:

BC= 5

step by step explanation

4. Suppose 4x + 9 pizzas were sold on Monday and 3x - 4 pizzas were sold on
Tuesday. What is the total number of pizzas sold?

Answers

Answer:

7x+5 pizzas were sold.

Step-by-step explanation:

4x and 3x combine to make 7x. Since we are adding 9 and also subtracting 4, they cancel out to be adding only 5. Combine this to make 7x+5.

The price of a TV-set is $480. If it goes on sale at 18% off what will be the new price?

Answers

Answer:

$393.60

Step-by-step explanation:

1. 800 tickets were sold for a Rock Music
Concert with a total revenue of $7500. If
adult tickets were sold for $12 and students
tickets were sold for $8. How many of each
type of ticket were sold?

Answers

I will set it up for you only.

Let a = adult tickets

Let s = student tickets

Here is your system of equations:

a + s = 800

12a + 8s = 7500

This morning,Rafael's car had 14.23 gallons of fuel.Now,2.7 gallons are left.How much fuel did Rafael use

Answers

Rafael's car used up 11.53 gallons of fuel.

Answer: he used 11.53

Step-by-step explanation: 14.23-2.7= 11.53

1. {MCC.7.G.6) The area of the base of an 8-inch-tall cylinder is 36T
square inches. What is the volume of this cylinder (rounded to the
nearest whole cubic inch)?

Answers

Answer:

[tex]Volume = 144in^3[/tex]

Step-by-step explanation:

Given

[tex]Base\ Area = 36in^2[/tex]

[tex]Height =8[/tex]

Shape: Cone

Required

Determine the volume

Volume is calculated using:

[tex]Volume = \frac{1}{3}\pi r^2h[/tex]

Where

[tex]Base\ Area = \pi r^2 = 36[/tex]

[tex]Height = h = 8[/tex]

So:

[tex]Volume = \frac{1}{3} * 36 * 8[/tex]

[tex]Volume = 144in^3[/tex]

Please help. Will mark brainliest if right!
Mrs. Jones was very proud of her apple tree. One autumn, after harvesting her apples, she called her three sons together. “Here are 150 apples,” she said. “I want you to take them to the market tomorrow and sell them for me.” She gave Paul 15 apples, Nick 50, and Ben 85. “Your job,” added Mrs. Jones, “is to sell the apples in such a way that each of you brings home the same amount of money.” How do they do it?

Answers

Step-by-step explanation:

they sell the same amount?

Can someone help me with these 2. Will Mark brainliest.

Answers

1.) 3

Take the given equation

2y=6x-8

Now divide by 2 on each side

y=3x-4

Slope is 3

2.) y=1/3x-4

A televison set can be bought for $860 cash or on hire purchase with $100 down payment and 12 monthly installments of $70 each. The amount that may be saved by buying the television for cash is

A) $80
B) $100
C) $940
D) $960​

Answers

A $80
The installments payments would be 940 in the end so you’d be paying 80 more dollars


A stadium is divided into 4 sections. Each section is laid out in rows.
Section
Number of Rows
A: 42
b:50
c:36
D:16


There are 8 seats in each row of Section C. Which of the following equations can you use to find the number of seats in Section C? Select all
that apply.
S = 8 + 36
S = 36 + 36 + 36 + 36 + 36 + 36 + 36 + 36
S = 42 + 50 + 36 + 16
S = 8 x 36
S = 8 x 42

Part B
How many seats are in Section C? Enter your answer in the box.

Answers

Answer:

Both S=8x36 and S=36+36+36+36+36+36+36+36 apply

There are 288 seats in section C

Step-by-step explanation:

S=8x36

S=288

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answers

Answer:

30/34

Step-by-step explanation:

I need the answer pleaseee (50 points)

Answers

Answer:

709,120,456.123,123.5848474578345835676

Step-by-step explanation:

no need, ur already read the answer u pleb

need help asap... with geometry

Answers

Answer:

seven

Step-by-step explanation:

if the triangles are equal then the hypotenuse is the same meaning you just add four and four then subtract eight from fifteen getting seven

PLEASE CAN SOMEONE HELP MY ASSIGNMENT!!!!!!!​

Answers

Answer:

1. The applicable theorem is the midsegment theorem

y = 5 cm

Step-by-step explanation:

The given quadrilateral MATH is an isosceles trapezoid,

The bases of the isosceles trapezoid are

b₁ = [tex]\overline{MA}[/tex] and b₂ = [tex]\overline{HT}[/tex]

The median of the isosceles trapezoid = [tex]\overline{LV}[/tex]

MA = 3·y - 2

HT = 2·y + 4

LV = 8.5 cm

The midsegment theorem states that the median of a trapezoid is parallel to the bases of the trapezoid and is equal to half the length of the sum of the bases of the trapezoid

The median of a trapezoid = (1/2)×(b₁ + b₂)

Therefore, we have;

The median of the isosceles trapezoid, LV, given as follows;

LV = 8.5 = (1/2)×((3·y - 2) + (2·y + 4))

LV = 8.5 = (1/2)×(5·y + 2) =

2 × 8.5 = (5·y + 2)

17 = 5·y + 2

∴ 5·y = 17 - 2 = 15

y = 15/3 = 5

y = 5 cm

8
?
Find the arc length of the semicircle.
Either enter an exact answer in terms of at or use 3.14 for 1 and enter your answer as a decimal.
units

Answers

Answer:

12.56

Step-by-step explanation:

180/360×2×3.142×4

A bird feeder is in the shape of a cylinder. It has a volume of about 100 cubic inches. It has a radius of 2 inches. What is the approximate height of the bird feeder? Use 314 for pi.

Answers

Answer:

8 in approx

Step-by-step explanation:

Given data

volume = 100 cubic inches

radius= 2 inches

The expression for the volume of a cylinder is given as

v=πr^2h

substitute

100= 3.14*2^2h

100= 12.56h

h= 100/12.56

h=7.9 in

Hence the height is 8in approx

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

71+42+BAD=180

BAD=67

Answer:

m<BAD = 67

Step-by-step explanation:

The given figure is a parallelogram. Consecutive angles in a parallelogram are supplementary, meaning that their angle measures sum up to 180 degrees. Using this, one can say,

m<D + m<A = 180

Substitute,

m<ADB + m<BDC + m<A = 180

71 + 42 + m<A = 180

113 + m<A = 180

Inverse operations,

113 + m<A = 180

-113              -113

m<A = 67

Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches tall. She comes across a door, about 15 inches high, that leads to a garden. After drinking a potion, Alice's height changes to 10 inches so she can visit the garden. How tall would the door have been in Alice's normal world? Justify your answer and provide mathematical evidence. ​

Answers

Answer:

The answer is 75 inches.

Step-by-step explanation:

If Alice is 10 inches, she is 2/3 as tall as the door. At her regular height, to be 2/3 as tall as the door the door would have to be 75 inches high.

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​

Answers

Answer:

there are infinitely many solutions

LEFT SIDE/ LEFT EQUATION: if you multiply 1 and (b + 14) together, the result becomes the numerator of the fraction (with 2 being the denominator).

Once you do that, you will notice that both sides/both equations are exactly the same.

Thus, if you put in ANY number for variable b, the solution of both sides/both equations will always be the same and work.

The answer is: "There are infinetly many solutions"

Can someone give me the letters/answer to the problem? All you have to do is tell me what the answer is for numbers 1 through 4. Or if you want just tell me the lettering for the problem. Thank you

Answers

Answer/Step-by-step explanation:

1. (-5, -5)

2. (-5, 5)

3. (-2, 0)

4. (0, -5)

(If explanation is needed please let me know and I will edit.)

Hope this helps :)

4 is the answer to this equation

Factor: 36x^2-64


thanks!

Answers

Answer:

4(3x+4)(3x-4)

Step-by-step explanation:

4(9x^2-16)

Answer:

4(3x−4)(3x+4)

Step-by-step explanation:

Is the dashed line a line of symmetry? A yes or no question

Answers

i can not see the dash line

Answer: Im not sure by yes maybe

Step-by-step explanation:

10. A young child is 44 months old. Find the age of the baby in years as a mixed
number in the simplest form.​

Answers

Step-by-step explanation:

44 month old

12 months=1 year

44÷12=3 2/3

3 2/3 years

Answer: 3 2/3 years old = 44 months

Step-by-step explanation:

44/12 = 3 2/3

Solve the following system of equations.
– 7x-6v = 15
3x + 5y = -4

Answers

Answer:

yup umm

Step-by-step explanation:

-4

what is the percent of change from $40 to 50​

Answers

Answer:

90 percentage

yh it is

☺☺

Perform the following multiplication

a) 9xy ( x²y – xy²)

b) 7 p?q? (9 pq - 9 p²q²)​

Answers

Answer:

a: (9x^3y^2)-(9x^2y^3)

Step-by-step explanation:

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