Quincy's father added a 20 ft by 10 ft porch to the house. The house is 50 ft by 40 ft. Find the total area of the house and porch.

A. 1,800 ft2
B. 2,200 ft2
C. 2,000 ft2
D. 200 ft2

Answer:

3/4 = 6/10 = 0.6

Step-by-step explanation:

cos is Division of Adjacent side by hypotenuse

Answer:

10

Step-by-step explanation:

Since a rectangle has 2 sets of congruent sides we can set up the equation:

48=2x+2y

We have our x value/length (14) so we can plug that in to the equation.

48=2(14)+2y

Then we have to simplify

48=28+2y

20=2y

Then simply solve for the y value, which is your width

10=y

Step-by-step explanation:

Check the attached photo out

Answer:

13

Step-by-step explanation:

Use the distance formula and plug in both points

Answer:

its either 11 or 13 im not sure

Step-by-step explanation:

Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8

Answer:

Given:

Let x = number of horses that had BOTH Lyme disease and arthritis.

⇒ (112 - x) + (42 - x) + x = 140

⇒ 154 - x = 140

⇒ x = 14

Therefore, place 14 in the middle overlapping area.

To find the number to place in the left section:  42 - 14 = 28

To find the number to place in the right section:  112 - 14 = 98

Answer:

Step-by-step explanation:

1. Do what is inside the parantheses

[tex]4^{2} +3+2\\16+3+2 = 21[/tex]

[tex]7^{2} +3(21)[/tex]

2. Simplify both terms

[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]

3. Solve

[tex]49+63 = 112[/tex]

Answer:

the answer is 102

Step-by-step explanation:

follow the pemdas explanation

Answer:

Step-by-step explanation:

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.

Refer to the attachment now.

The expression that represents the volume of the sphere is (4/3)π(6)³.

The radius of the sphere = 6 units

The volume of a sphere with radius r is 4/3πr³.

So, the volume of the given sphere with a radius of 6 units =  (4/3)π(6)³

The volume of the given sphere with a radius of 6 units =  (4/3)π*216

The volume of the given sphere with a radius of 6 units = 288π cubic units.

Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.

To get more about spheres visit:

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Answer: B

Step-by-step explanation: edge 2023

Answer:

A. Madrid has a higher monthly average and its monthly temps vary more.

Step-by-step explanation:

I got this right on the quiz.

If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly

my apologies if i get it wrong.

Answer:

A.

Step-by-step explanation:

Answer:6

Step-by-step explanation:

5.967 is about 6 because 5.9 9 is above 4 so we round up.

Answer:

C) 3.

Step-by-step explanation:

(3^2 + 2^2) - 2(3^2 - 2^2)

= (9 + 4) - 2(5)

= 13 = 10

= 3.

Answer:

C) 3

Step-by-step explanation:

When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.

( c^2 + d^2 ) - 2 ( c^2 - d^2 )

( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )

( 9 + 4 ) - 2 ( 9 - 4 )

( 13 ) - 2 ( 5 )

( 13 ) - 10

3

Explanation:

Use the intersecting chords theorem to find x

JN*NK = MN*NL

(3x+6)*16 = (7x-11)*14

48x+96 = 98x-154

96+154 = 98x-48x

250 = 50x

50x = 250

x = 250/50

x = 5

This means,

JN = 3x+6 = 3(5)+6 = 21

JK = JN+NK = 21+16 = 37

Answer:

132 cm cubed

Step-by-step explanation:

so if [tex]\pi[/tex] = 3

cylinder 1 =  3 x 2 x 2 x 7 = 84 cm cubed

cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed

all together = 84 + 48 = 132 cm cubed

area of this object = 132 cm cubed

Jill and Cheryl took 12 years and 18 years, respectively, to double their money.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

More about the Algebra link is given below.

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Answer:

y = 8

Step-by-step explanation:

Hi there!

We are given the equation 5y + 2 = 42

And we want to solve it for y

To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.

So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.

5y + 2 = 42

     -2      -2

_______________

5y = 40

Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)

So to find the value of just y, divide both sides by 5

5y = 40

÷5    ÷5
________

y = 8

Hope this helps!

Answer:

1. A,B,D,E

2. E,A,B,D,C

3.H,A,C,D

Step-by-step explanation:

Check the picture below.

Answer:

it would be A.2/3

Step-by-step explanation:

I hope this helps if not please let me now

​

Answer:

Should be A

Step-by-step explanation:

Because of BIDMAS do the division first and then the multiplication.

Do :
8/9 divided by 2/3

so: 8/9 * 3/2 = 24/18

24/18 *  1/2 = 24/36

24/36 simplified is 2/3

Therefore the answer is A

Answer:

B) -5y + 3x = 7 is linear.

Step-by-step explanation:

Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.

Answer:

B. Step 2

Step-by-step explanation:

When moving 2a to the left, you would need to subtract, not add. You would get 1a instead of 5a.

Answer:

t = 1 sec   5 meters

Step-by-step explanation:

When the object hits the ground , height = 0

   0    = (5t+5)(1-t)      so t = -1(throw out...can't have negative time value) or 1  

As the object is dropped, t = 0    sub that in to the equation

h = (5(0)+5)(1-0) = 5 meters  

Answer:

B) 28.61 > 28.48

Step-by-step explanation:

A is wrong because 28 < 29

B is correct because 0.61 > 0.48

C is wrong because 29 > 28

D is wrong because 29 > 28

I hope this helps!

Probability of an event is the measure of its chance of occurrence. The correct probabilities are:

Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.

Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).

Symbolically, we write it as:

[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

For three sets, A, B and C:

[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]

The problem is incomplete. The corresponding venn diagram is attached below.

We can symbolize the venn diagram as:

[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]

S = sample space = collection of all unique elements.

S is union of A, B and C.

[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]

Checking all the options for their correctness:

We have:

[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]

Thus, its correct.

[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]

Thus, this option is incorrect.

Thus, this option is incorrect.

[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]

Thus, its correct.

[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]

Thus, this option is incorrect.

Thus, the correct probabilities are:

Learn more about probability here:

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Answer:

Answer is greater than 1

Includes Fraction

Rational

Step-by-step explanation:

[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]

[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]

[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]

[tex] \frac{75}{4} = \\ [/tex]

[tex] \frac{72 + 3}{4} = \\ [/tex]

[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]

[tex]18 + 0.75 = [/tex]

[tex]18.75[/tex]

Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.

A proportion is a fraction of a total amount.

In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:

V = 4³ = 4 x 4 x 4 = 64.

The volume is 64 times larger than the volume of the original figure.

More can be learned about proportions at https://brainly.com/question/24372153

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Answer:

A

Step-by-step explanation:

using the altitude- on- hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so

x² = w × (w + z) = w(w + z) ← take square root of both sides

x = [tex]\sqrt{w(w+z)}[/tex]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.

Then the equation is given as,

x / (w + z) = w / x

Simplify the equation for 'x', then the equation is written as,

x / (w + z) = w / x

x² = w × (w + z)

x = √[w(w + z)]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

More about the right-angle triangle link is given below.

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Answer:

96

Step-by-step explanation:

L x W x H

8 x 4 x 3 = 96