An expression is shown. Which one of the expressions below is equivalent?

Answer:

5

Step-by-step explanation:

x = 10 × Sin ( 30 )

x = 10 × 1/2

x = 5

Answer:

length and width = 12,9

Step-by-step explanation:

Answer:

c.153 degrees

Step-by-step explanation:

hope it helps

Linear pairs are supplementary

Answer:

A = 254.34 in² and circumference = 56.52 inch

Step-by-step explanation:

The attached figure shows a pizza having diameter of 18 inches

Radius of the pizza = 9 inches

The area of the pizza is given by :

[tex]A=\pi r^2\\\\=3.14\times 9^2\\\\=254.34\ in^2[/tex]

The circumference of the pizza is given by :

[tex]A=2\pi r\\\\=2\times 3.14\times 9\\\\=56.52\ inch[/tex]

Hence, this is the required solution.

9x =90

x=90/9

=10

4×10= 40

5×10=50

Answer:

100 cm2

Step-by-step explanation:

If the area is 64 cm2 that means that the side is 8 cm (square root of 64 is 8)

8 increased by 2 = 10

area 10x10 = 100 cm2

Answer:

the answer is 100cm²

since originally is 64 cm²

so square root of 64 is 8 cm.

after you get 8cm you get,

8+2 = 10cm (a side of square)

and then to find a new area you get,

10 × 10 = 100 cm²

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:

1,406

Step-by-step explanation:

p = a(1 + r)^t

p = 1,236(1.013)^10

p = 1,406.4131692427

p = 1,406

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: 4

Step-by-step explanation:

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

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:

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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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

Answer:   nonexperimental study

Instead, this is a survey

==================================================

Explanation:

We have a survey being conducted because the researchers are asking the students the questions. It's not an experiment because the students aren't being broken up into two groups (control group vs treatment group) to see the difference between the two if any.

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:

It's the first one I think

Step-by-step explanation:

Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .

THE CORRECT ANSWER IS THE LAST ONE ..

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:

7263

Step-by-step explanation:

Using technology, the quadratic regression function which models the data in the form ax² + bx + c is written thus ;

The quadratic regression function is a polynomial of degree 2. Where, x represents the widget selling price and y represents the total profit earned.

The predicted profit made on a widget selling price of $10.25 can be calculated by substituting x = 10.25 into the equation :

f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66

f(10.25) = 9428.38

Therefore, the widget selling price is $9428.38

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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

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:

27.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

110/4 is 27.5

Answer:tanQ=

adjacent

opposite

​

=

24

7

​

≈0.2917≈0.29

Step-by-step explanation:

trust me bro

The value of the tangent of ∠Q is 0.96.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

∠S=90°, SR = 7, QS = 24, and RQ = 25.

Using Trigonometry

tan Q = P/ B

tan Q= 24/ 25

tan Q = 0.96

Thus, the value of tan Q is 0.96.

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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: 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: 166.666 mcgs

Step-by-step explanation:

If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

A ratio shows us the number of times a number contains another number.

Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,

IV fluid / Drug A = 300ml / 50 mcg

IV fluid / Drug A = 6 ml/ mcg

Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,

IV fluid / Drug A = 6 ml/ mcg

1000 ml / Drug A = 6 ml/ mcg

Drug A = 1000 ml / 6 ml/ mcg

Drug A = 166.667 mcg

Hence,  If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.

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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.