For what angles are sine and cosine the same?

Answer:

y = 15°

∠A = 78°

∠B = 68°

∠BAC = 34°

Step-by-step explanation:

∠BAC = 180° - 146° = 34°

the sum of the interior angles of any triangle is 180°

5y + 3 + 4y + 8 + 34° = 180°

combine like terms:

9y + 45° = 180°

subtract 45° from each side of the equation:

9y = 135°

divide both sides by 9:

y = 15°

∠A = 5(15) + 3 = 78°

∠B = 4(15) + 8 = 68°

Answer:

The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].

Step-by-step explanation:

First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]

This gives us 4 as our value of x.

Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.

Thus, x=4 and area=60.

Good day from NightyKnight.

Answer:

280cm

Step-by-step explanation:

Given data

Robound= 70%

Initial height= 400cm

Let us calculate the final height after the rebound

=70/100*400

=0.7*400

=280cm

Hence the new height after the rebound is

280cm

Answer:

15.75-1.50=14.15

14.15-0.75=13.50

Answer;

Mark traveled at the highest velocity to Charleston

Answer:

12 gallons 2 quarts

Step-by-step explanation:

Answer:

31.8%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

5720 = (1200)(R)(15)

5720 = 18,000R

R = 0.3177777, rounded to 31.8%

Answer:

32%

Step-by-step explanation:

5720/15=381.33 interest per year

principal x interest rate = interest per year

1200 x interest rate =381.33

interest rate = 381.33/1200

interest rate = 32%

Answer:

84 cm²

Step-by-step explanation:

1/2x14x12=84

Answer:

6.3 years

Step-by-step explanation:

Given

[tex]P = 22400[/tex] --- initial value

[tex]r = 12\%[/tex] -- rate

[tex]A = P(0.88)^t[/tex] --- function

Required

Find t when [tex]A = 10000[/tex]

We have: [tex]A = P(0.88)^t[/tex]

Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]

[tex]10000 = 22400 * 0.88^t[/tex]

Divide both sides by 22400

[tex]0.4464 = 0.88^t[/tex]

Take log of both sides

[tex]\log(0.4464) = \log(0.88^t)[/tex]

Apply law of logarithm

[tex]\log(0.4464) = t\log(0.88)[/tex]

Solve for t

[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]

[tex]t = \frac{-0.3503}{-0.0555}[/tex]

[tex]t = 6.31[/tex]

[tex]t \approx 6.3[/tex]

Answer:

Distance between A and B = 10.4 unit (Approx.)

Step-by-step explanation:

Given:

Coordinate of A = (-5 , 2)

Coordinate of B = (5 , 5)

Find:

Distance between A and B

Computation:

Using distance formula

Distance between two point = √(x1 - x2)² - (y1 - y2)²

Distance between A and B = √(-5 - 5)² - (2 - 5)²

Distance between A and B = √(-10)² - (-3)²

Distance between A and B = √100 + 9

Distance between A and B = √109

Distance between A and B = 10.4403

Distance between A and B = 10.4 unit (Approx.)

Answer:

10.4

Step-by-step explanation:

took the k12 test (:

Answer:

i think its 1.2 dollors im not 100 percent sure

Step-by-step explanation:

Answer: Step-by-step explanation:

-z<-7

z>7

7.1

8

12

Answer:

352

Explanation

Answer:

352 square inches

Equation to find the surface area:

A=2(wl+hl+hw)

Steps:

2·(4·12+8·12+8·4)=352

If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!

Answer:

Slope is 6

Step-by-step explanation:

(-3, 4) and (-4, -2)

m=(y2-y1)/(x2-x1)

m=(-2 - 4)/(-4 + 3)

m= (-6)/(-1)

m = 6

Answer:

Step-by-step explanation:

First we need to rewrite this part word problem completely into numbers

2⁴ ÷ [(3.35 × 0.8) + 5.32]

Now we must solve. Remember to do parenthesis first.

3.35 × 0.8 = 2.68

2.68 + 5.32 = 8

Now we need to find the value of 2⁴

2⁴ = 2 × 2 × 2 × 2 = 16

Finally we need to divide 16 by 8

16 ÷ 8 = 2

So our final answer is 2

Answer:

The right answer is A (x=2,y=-1)

Answer:

This is binomial.

Here n = 5

p = 2/7

mean = np = 5*2/7 = 10/7 = 1.42857

standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015

Step-by-step explanation:

Work Shown.

The probability that exactly two of the five students of the class were born on weekend is 0.2975

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

n = 5

The probability that any student was born on weekend, P(W) = (2 / 7)

and, the probability that any student was not born on weekend

P(W') = {1 - P(W)}

        = {1 - (2 / 7)}

        = (5 / 7).

Thus, the probability that exactly two of the five students of the class were born on weekend

= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³

= 10 x {(2 / 7)²} * {(5 / 7)³}

= 10 x (4 / 49) x (125 / 343)

= (5000 / 16807)

≈ 0.2975

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ3

Answer:

Mean: 67

Median: 66

Mode: no mode

Range: 14

Step-by-step explanation:

Answer:

mean

Step-by-step explanation:

5

Step-by-step explanation:

add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5

1/30 of 150=5

The caramel apples that are covered with sprinkles are 5.

Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Now it is given that,

Olivia has 150 caramel apples.

Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

Let 'n' be the number of caramel apples are covered with sprinkles.

Thus,we can write

(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150

100 + 30 + 15 + n = 150

145 + n = 150

⇒ n = 150 - 145

⇒ n = 5

Thus, the caramel apples that are covered with sprinkles are 5.

To learn more about arithmetic operation :

https://brainly.com/question/13585407

#SPJ2

The complete question is,

Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

Answer:Question

Please help?

(I learned this way back so I kind forgot)

1 Which model represents 2(-3)

figure c represents  2(-3)

Answer:

1 Which model represents 2(-3)

figure c represents  2(-3)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

As it would look better.

1 would make the graph too big

12 would be useless as there are no "answers" more than 12

10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.

Answer:

the no of liters required is 50.55 liters

Step-by-step explanation:

Given that

The car gas efficiency is 23.0 mi/gal

distance is 495 km

1 gal = 3.78 L

1 km = 0.6214 mi

We need to find out the no of liters of gas that would needed to complete a trip

So,

= (495 × 3.78 × 0.6214) ÷ (23)

= 50.55 Liters

hence, the no of liters required is 50.55 liters

Answe well this look complicated gimme some time

Step-by-step ex

3 customer = 6 minutes

/6

1/2 customer = 1 minute

The rate were the customers entering the store in customers per minute​ is 1/2 customer per minute.

Answer:

Step-by-step explanation:

Answer:

D. 69°

Step-by-step explanation:

Opposite angles are congruent.

Answer:

N is also 69 so the an is D) 69

Step-by-step explanation: