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Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

Answer:

Step-by-step explanation:

sin S=21/75

sin R=72/75

cos S=72/75

cos R=21/75

Answer:

sin R = 72/75

cos R = 21/75

sin S = 21/75

cos S = 72/75

Step-by-step explanation:

sin = opposite side / hypotenuse

sin = adjacent side / hypotenuse

9514 1404 393

Answer:

  600, 1400, 3000, and 5000

Step-by-step explanation:

The profit equation can be simplified.

  P = 350n -(150n +1000)

  P = 200n -1000 . . . . . . . . . collect terms

  P = 200(n -5) . . . . . . . . . . . factor out 200

For the given numbers n, we have ...

  P = 200({8, 12, 20, 30} -5) = 200{3, 7, 15, 25} = {600, 1400, 3000, 5000}

Profits for 8, 12, 20, and 30 customers are 600, 1400, 3000, and 5000, respectively.

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

This picture represents soldiers raising the flag after the battle of Iwo Jima.

Step-by-step explanation:

This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

Answer:

y  =  2 /3

Step-by-step explanation:

Answer:

The answer is D 763.

Step-by-step explanation:

Don't have an explanation

A chicken farmer needs to sell 763 crates to realize a profit of $11,300.

Equation

A statement of equivalence between two expressions containing variables and/or numbers is called an equation. In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.

Equation according to the given information

Based on the given information describe the problem is equation.

(34.24 × x) - (7312 + 9.86x) = 11300

34.24x - 7312 - 9.86x = 11300

34.24x - 9.86x = 11300 + 7312

24.38x = 18612

x = 18612 / 24.38

x = 763

Hence chicken farmers need to sell 763 crate

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The value of x by CPCTC is 3.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x.

CPCT theorem states that if two or more triangles which are congruent to each other are taken then the corresponding angles and the sides of the triangles are also congruent to each other.

The side x is congruent to the quadrilateral having length 3.

the value of x is 3

Hence, the value of x by CPCTC is 3.

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Answer:

2 meters

Step-by-step explanation:

Given

[tex]a= 8m[/tex] --- initial

[tex]r = \frac{1}{2}m/year[/tex] --- rate

[tex]t = 12\ yrs[/tex]

[tex]Nail = 2m[/tex]

Required

The height of the nail after 12 years

The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.

This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.

Hence, the height of the nail after 12 years in 2m

Answer:

B)max/ opens down

Step-by-step explanation:

Parabola equation:

The equation of a parabola has the following format:

[tex]y = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], that is, x² is multiplied by a positive number, the function has a minimum value and the parabola opens up.

If [tex]a < 0[/tex], that is, x² is multiplied by a negative number, the function has a maximum value and the parabola opens down.

In this question:

[tex]y = -x^2 - 2x + 3[/tex]

From the graph, we already see that it opens down and has a max, and analitically, since [tex]a = -1 < 0[/tex], this is confirmed. The correct answer is given by option b.

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824  = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial  customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

I'm going to refer to the two separate triangles in this problem by their missing angles. So the smaller triangle is triangle 1, and the larger triangle is triangle 2.

Let's work on triangle 1 first.

We can easily find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 1.

180 - 115 = 65

Now that we know two of the angles in the triangle, and we know that the sum of the interior angles in a triangle is 180, we can find our missing angle 1.

80 + 65 + <1 = 180

145 + <1 = 180

<1 = 35 degrees

Now let's go ahead and move on to triangle 2.

We can again find the supplementary angle to the 115 degree angle in the middle there, which is in triangle 2 also.

180 - 115 = 65

Then, we can use the same principle as we did with triangle 1 to find our missing angle 2 in triangle 2.

85 + 65 + <2 = 180

150 + <2 = 180

<2 = 30 degrees

Hope this helps!! :)

Answer:

2/5 :)

Step-by-step explanation:

58+2=60+25=85-25=60 60 = 2/5

The solution is 5/17

The probability that the next customer will pay with a debit card is given by the equation A = 5/17

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability that the next customer will pay with a debit card be A

Now , the equation will be

The number of customers who paid cash last week = 58 customers

The number of customers who used debit card last week = 25 customers

The number of customers who used credit card last week = 2 customer

So ,

The total number of customers = 58 + 25 + 2

The total number of customers = 85 customers

Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers

Substituting the values in the equation , we get

Probability that the next customer will pay with a debit card A = 25 / 85

On simplifying the equation , we get

Probability that the next customer will pay with a debit card A = 5 / 17

Therefore , the value of A is 5/17

Hence , the probability is 5/17

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9x =90

x=90/9

=10

4×10= 40

5×10=50

Answer: 3900[tex]\pi[/tex] ft^3

if you use the formula on how to find the volume of a cone

V=[tex]\pi[/tex]r^2*h/3

you will insert 30 where the r is, 13 in where h is, after you just solve that and your answer would be 3900[tex]\pi[/tex] ft^3

Answer:

10

Step-by-step explanation:

[tex]1 \frac{1}{4} \times 8 = 10[/tex]

Answer:

10 pounds.

Step-by-step explanation:

1 * 8 + 1/4 * 8

= 8 + 2

= 10 pounds.

Answer:

84in

Step-by-step explanation:

84in

Answer:

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

look

again

at picture pasted

By AAA axiom ∆AFD , ∆BGD , ∆CHD are similar with each other.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.

a). In ΔAFD, ΔBGD, ΔCHD

∠AFD = ∠BGD = ∠CHD [being corresponding angle]

∠DAF = ∠DBG = ∠DCH  [being corresponding angle]

∠D is common for all.

So ∆AFD ~∆BGD ~∆CHD   [By A .A .A. axiom]

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Answer:

Step-by-step explanation:

Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.

The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.

We know that to estimate the percentage of success we use the proportion of success parameter "p".

Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.

Answer:

specific "yes" or "no" responses to the survey

Step-by-step explanation:

Got it right

Answer:

its 7/9

Step-by-step explanation:

you just have to flip the fractions

Answer:

7/9

Step-by-step explanation:

Flip the fraction

Answer: 4

Step-by-step explanation:

I got this same question buddy im here to see the answer but there were not any

With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.

As per the given,

Principle amount P = $500

Rate of interest r = 6% annually

Total investment = P(1 + r)^T

1500 = 500(1 + 0.06)^T

300 = 1.06^T

Take natural logs on both sides

ln300 = T ln1.06

T = 18.3 years

Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".

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Answer:

length and width = 12,9

Step-by-step explanation:

9514 1404 393

Answer:

  x = 5°

Step-by-step explanation:

The marked angles are "alternate exterior angles," hence congruent.

  2x +90° = x +95°

  x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides

Answer:

5

Step-by-step explanation:

x = 10 × Sin ( 30 )

x = 10 × 1/2

x = 5

Answer:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406