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Anna007 [38]
3 years ago
11

A family is ordering grass sod for a portion of their backyard as shown in the diagram. How many square yards of grass sod do th

ey need?

Mathematics
2 answers:
N76 [4]3 years ago
7 0

Answer: 42 square yards

Step-by-step explanation:

Given: A family is ordering grass sod for a portion of their backyard as shown in the diagram.

In the given diagram we have a parallelogram with base = 7 yd

and height = 6 yd

We know that the area of parallelogram is given by :-

\text{Area}=base\times height

Therefore, the area of the given  portion will be :-

\text{Area}=7\times6=42\ yd^2

Darina [25.2K]3 years ago
4 0

I believe the answer would be 42


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Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
2 years ago
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Manson bought 8 1/4 feet of wire. He cut off a piece of wire 3 5/12 feet long and used it for his science project. How much wire
nadezda [96]

Answer:

He has 4 10/12 wire left

Step-by-step explanation:

7 0
3 years ago
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hichkok12 [17]
A^7 /4
That is the simplification
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1 year ago
SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council
fgiga [73]

Answer:

0.91517

Step-by-step explanation:

Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.

Let A - the event passing in SAT with atleast 1500

B - getting award i.e getting atleast 1350

Required probability = P(B/A)

= P(X>1500)/P(X>1350)

X is N (1100, 200)

Corresponding Z score = \frac{x-1100}{200}

P(X>1500)/P(X>1350)\\= \frac{P(Z>2)}{P(Z>1.25} \\=\frac{0.89435}{0.97725} \\=0.91517

4 0
3 years ago
What multiplies to negative 24 and adds to 2
exis [7]
Let us assume the two numbers to be "x" and "y".
Then
xy = - 24
x = - (24/y)
And
x + y = 2
Putting the value of x from the first equation in the second equation, we get
x + y = 2
- (24/y) + y = 2
- 24 + y^2 = 2y
y^2 - 2y - 24 = 0
y^2 - 6y + 4y - 24 = 0
y(y - 6) + 4(y - 6) = 0
(y - 6) (y + 4) = 0
When
y - 6 = 0
y = 6
Then
x + y = 2
x + 6 = 2
x = 2 - 6
   = -4
And when
y + 4 = 0
y = -4
Then
x + y = 2
x - 4 = 2
x = 2 + 4
   = 6
So the two unknown numbers are -4 and 6.
7 0
3 years ago
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