A backyard is 40.5 feet long and 25 feet wide. In order to install a pool, the yard needs to be reduced by a scale of One-third. What is the area of the reduced yard?

Answer:

QRS = 66° and Q = 95°

Step-by-step explanation:

Required Answer

[tex]\huge {\boxed{\sf{∠QSR=66⁰}}}[/tex]

[tex]\huge {\boxed{\sf{∠Q=95}}}[/tex]

Correct Question:

To find of :

Explanation:

∠QSR+∠QRT=180⁰

Reason:

linear pair

.°. ∠QSR+114⁰=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

Can also be done as follows:

To find value of ∠QSR first we have to find y

y⁰+(5y)⁰=114

Reason:

exterior opposite angle is equal to sum of interior angles

6y=114

y=114/6

y=19

y⁰+(5y)⁰+∠QSR=180⁰

Reason:

sum of angles of triangle =180⁰

6y+∠QSR=180⁰

6×19+∠QSR=180⁰

114+∠QSR=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

From second part we get the value of y

.°.∠Q=5×19

∠Q=95

Answer:

8x-3y=3

Step-by-step explanation:

Its the only one that would give you a negative x

Answer:

the answer is going to be D

Answer:

y=5

Step-by-step explanation:

y= 5 is always parallel to x axis

Answer:

Property of Equality

Step-by-step explanation:

Answer:Property of Equality

STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:

PLEB

Answer:

Step-by-step explanation:

Step one:

given data

for the large cube

the volume= 125cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

125=l^3

l=∛125

l=5cm

Step two:

given data

for the large cube

the volume= 27cm^3

we know that volume = l*l*l

volume=l^3

we want to find l, so we have to cube both sides

27=l^3

l=∛27

l=3cm

Answer: B Angle Side Angle

Step-by-step explanation:

Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.

Answer:

2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

Step-by-step explanation:

Given the matrix

[tex]M=\begin{pmatrix}3&5\\ -4&0\end{pmatrix}[/tex]

Multiplying by 2 will basically be a scalar multiplication.

Therefore, multiply each of the matrix elements by a scalar.

[tex]2M=2\begin{pmatrix}3&5\\ \:-4&0\end{pmatrix}[/tex]

       [tex]=\begin{pmatrix}2\cdot \:3&2\cdot \:5\\ 2\left(-4\right)&2\cdot \:0\end{pmatrix}[/tex]

        [tex]=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Hence, 2M will be:

[tex]2\begin{pmatrix}3&5\\ -4&0\end{pmatrix}=\begin{pmatrix}6&10\\ -8&0\end{pmatrix}[/tex]

Therefore, the 2nd option is true.

Answer:

It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.

Answer:

slope is 4

Step-by-step explanation:

Answer:

The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).

Step-by-step explanation:

it c

Answer:

24 will be the maximum value of this graph

Answer: the maximum value is 24 vertical and 20 horizontal

Step-by-step explanation:

Answer:

calculator says 19.625

Answer:

19.625

Step-by-step explanation:

Answer:

10cm correct to nearest cm" means the diameter could be arbitrarily close to (but less than) 10.5 cm. So the maximum possible circumference is 10.5π cm.

"10cm correct to nearest cm" also means that the diameter could be arbitrarily close to (but greater than) 9.5 cm. So the minimum possible area is π(9.5)²/4 cm²

Answer:

24

Step-by-step explanation:

Since each lab station needs 0.5 grams of chips, we have to divide 0.5 from 12.

12/0.5 = 24

Answer:

The trip was 45 minutes

Step-by-step explanation:

you take 60 minutes which is an hour and subtract 15 to get 45 minutes

Answer:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

Step-by-step explanation:

Copy f(x) as is:            f(x) = 3x + 5

Negate g(x):              -g(x) = -4x^2 + 2

Negate h(x):               -h(x) = -x^2 + 3x - 1

Now combine like terms:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

Answer:

8/4 and 2/1(or just 2)

Step-by-step explanation:

slope formula- (y2-y1)/(x2-x1)

plug in the numbers-

(9-1)/(1+3) and (-7+9)/(-1+2)

Answer:

11+3=14

-41-1=-42

14-2(-42)

-2(-42)

14+84

98

I hope this is good enough:

Answer:

Sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>

Step-by-step explanation:

Answer:

This is the sample response: Both inequalities use the division property to isolate the variable, y. When you divide by a negative number, like –7, you must reverse the direction of the inequality sign. When you divide by a positive number, like 7, the inequality sign stays the same. The solution to the first inequality is y > -23, and the solution to the second inequality is y <>.

Answer:

change L.H.S in terms of sin and cos

Step-by-step explanation:

so we know cot x= cos x/sin x. so similarly we have cot y = cos y / sin y. since we have our cot in terms of cosine and sine, get a L.C.M and solve it further.

Answer:

Vertical Asymptotes: x=-2,2

Horizontal Asymptotes: y=1

Step-by-step explanation:

Plz mark brainliest.

Answer:

10

Step-by-step explanation:

60 divided by 6

Answer:

x= 10

Step-by-step explanation:

60÷6=10

10×6=60cm^2

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

Answer:

8/5 or 1.6

Step-by-step explanation:

Rise over run.

Answer:

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

Step-by-step explanation:

solve for t

h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2

-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides

-2h + 2 = a[tex]t^{2}[/tex]; divide by a

(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root

t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]

9514 1404 393

Answer:

  D.  The lines are perpendicular

Step-by-step explanation:

The first line has a rise of (1-2) = -1 for a run of (5-(-3)) = 8.

The second line has a rise of (-1-7) = -8 for a run of (1-2) = -1.

Then the slopes are -1/8 and -8/-1 = 8, which are negative reciprocals of each other. Lines with slopes having that relationship are perpendicular.

Answer:

A, E

Step-by-step explanation:

Answer:

a,e

Step-by-step explanation: