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gizmo_the_mogwai [7]
3 years ago
9

What is the area of this figure? Drag and drop the appropriate number into the box. A = cm² 108 135 189 318 A shape made up of a

square with the length measuring 9 centimeters and a height measuring 9 centimeters. There are two equally sized right triangles attached to the square. The base of each triangle measures 9 centimeters. The height of each triangle measures 12 centimeters. The remaining side of each triangle measures 15 centimeters.
Mathematics
2 answers:
Lyrx [107]3 years ago
8 0
The square will have area
.. (9 cm)^2 = 81 cm^2.

The two triangles together will have area
.. (9 cm)*(12 cm) = 108 cm^2.

The sum of the areas of those three shapes is
.. 81 cm^2 +108 cm^2 = 189 cm^2
xz_007 [3.2K]3 years ago
3 0

Answer:

the answer is 189

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The heights of North American women are nor-mally distributed with a mean of 64 inches and a standard deviation of 2 inches. a.
serious [3.7K]

Answer:

0.1587

Step-by-step explanation:

Given the following :

Mean (m) of distribution = 64 inches

Standard deviation (sd) of distribution = 2 inches

Probability that a randomly selected woman is taller than 66 inches

For a normal distribution :

Z - score = (x - mean) / standard deviation

Where x = 66

P(X > 66) = P( Z > (66 - 64) / 2)

P(X > 66) = P(Z > (2 /2)

P(X > 66) = P(Z > 1)

P(Z > 1) = 1 - P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 ( from z distribution table)

1 - P(Z ≤ 1) = 1 - 0.8413

= 0.1587

5 0
3 years ago
Jose has -75 points. He wins 200 points;then he loses 25 points. How many points does he have now?
Sav [38]

Answer:

100 points

Step-by-step explanation:

-75 + 200 = 125

125 - 25 = 100

3 0
2 years ago
Read 2 more answers
A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
3 years ago
Determine the discount between the point(-4,2) and the line 4y=3×+6​
frozen [14]

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

6 0
2 years ago
Solve the following formula for x y = 7 m x − 8 b
katovenus [111]

Answer: It depends on which variable you're solving for.

Step-by-step explanation:

Solving for b: b=7/8mx + -1/8xy

Solving for m: m=xy+8b

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                                   7x

Solving for x: x=-8b

                           ___

                          -7m+y

Solving for y: y=7mx-8b

                           ______

                                 x

7 0
2 years ago
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