What is the area of the shaded portion of the trapezoid in the figure, in terms of? The figure is not drawn to scale. All of the given measurements are in feet.

Answer: 41 meters squared

Step-by-step Explanation:

First, just find the area of the rectangle:

7 x 5 = 35

Then first the area of the triangles, 3 x 2/2 x 2 = 6

all together the surface area is 41 meters squared.

Answer:

true

Step-by-step explanation:

Answer:

njvntjvnktmg

Step-by-step explanation:

nurfurhf

Answer:.........................................

Step-by-step explanation:

Step-by-step explanation:

➡(5x-2)(5x+2)=12

➡5x^2-(2)^2=12

➡25x^2-4=12[/tex]

➡25x^2=12+4=16

Step-by-step explanation:

[tex] \rm \mapsto \: (5x - 2)(5x + 2) = 12 \\ \rm \mapsto \: 5x(5x + 2) - 2(5x + 2)=12 \\ \rm \mapsto \: {25x}^{2} + 10x - 10x - 4 =12\\ \rm \mapsto \: {25x}^{2} - 4=12 \\ \rm \mapsto \:25x^2=12+4 \\ \rm \mapsto \: 25x^2=16[/tex]

Answer:

60

Step-by-step explanation:

Answer:

a. C(x(h)) = 600h + 500

b. C(8) = 5,300

c. See below.

Step-by-step explanation:

a. C(x(h)) = C(30h) = 20(30h) + 500 = 600h + 500

b. C(8) = 600(8) + 500 = 5,300

c. 5,300 is the cost of making the number of shovels that can be made in 8 hours.

Answer:

b. y-intercept

Step-by-step explanation:

The slope=the number/s before the x

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

Answer:

false

Step-by-step explanation:

I say false because the multiplicative inverse of 0 is undefined and the multiplicative inverse tells us that when you multiply a number by its inverse the product will be1 think the multiplicative inverse of 0 is undefined.

Answer:

6

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The computation of the number of people in the chorus are 50 or older is as follows

According to the attached figure

In the age of 50 - 60 , there is 8 people

In the age of 60 - 70 , there is 4 people

In the age of 70 -80, there is 1 people

So, if we do the total that comes

= 8 people + 4 people + 1 people

= 13 people

Hence, the no of people would be 13

The same is relevant

Answer: $800 because if you have a light that is $2,000 and it loses %10 of its price per month, and June is 4 months away, then it is only $800.

4 x .1 = .4 so $2,000 x .4 = $800

Answer:

Uh dude their are no questions??

Step-by-step explanation:

Answer:

55 degrees

Step-by-step explanation:

All the angles of a triangle should add up to 180 degrees.

So, if you add angles 1 and 2 together and subtract them from 180 it will result in the unknown angle.

35+ 90 + x = 180

125 + x = 180

x = 55

Answer:

$9.00

Step-by-step explanation:

1.75 x 2 = 3.5+5.5= 9

Answer:

[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]

Step-by-step explanation:

First off, find [tex]\displaystyle m∠S:[/tex]

[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]

Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:

Now that we have the information, we can proceed with the process:

[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]

_______________________________________________

Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:

[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]

Your triangle is now complete!

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

In this case, you would use law of sines due due you being given two angles and one side.

LAW OF ANGLES IN TRIANGLES: 180 - a - b = c

So in this case: 180 - 31 - 58 = m<S = 91

LAW OF SINE: sin A / a = sin B / b = sin C / c

So in this case: sin 31 / ST = sin 58 / 28

28 sin 31 / sin 58 = ST = 17.0

sin 58 / 28 = sin 91 / x

28 sin 91 / sin 58 = RT = 33.0

Answer:

x-12

Step-by-step explanation:

(x+12)*(x-12)

x*x=x²

12x-12x=0

12*-12=-144

Answer:

[tex]9a^{2}[/tex]+6[tex]ab[/tex]+[tex]b^{2}[/tex]

Step-by-step explanation:

Answer:

The answer you selected in the picture is correct

Step-by-step explanation:

where k is the constant of variation. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. ... Thus, the equation describing this inverse variation is xy = 10 or y = .

Answer:

m<AOB = 50°

Step-by-step explanation:

<ACB = 25° is an inscribed angle of the circle.

<AOB is a central angle of the circle.

Thus, based on the inscribed angle theorem which states that an inscribed angle is ½ the measure of the central angle, therefore:

m<ACB = ½(m<AOB)

Substitute

25° = ½(m<AOB)

Multiply both sides by 2

2*25 = m<AOB

m<AOB = 50°

Answer:

x = 58°

Step-by-step explanation:

ABCD is a cyclic quadrilateral and opposite angles are supplementary , so

∠ DAB = 180° - 121° = 59°

The angle between a tangent and a chord is equal to the angle in the alternate segment, then

∠ ABD = 63° , thus

x = 180° - (59 + 63)° = 180° - 122° = 58°

Answer: h= 9/16 length

Step-by-step explanation:

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

(9x9+17x9+17x9)

=387

=2x387=774

A=774

Answer:

10.25

Step-by-step explanation:

,

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

Answer:

40% of 300=120

Step-by-step explanation:

40% of 300= 40/100 x 300= 40x3= 120 students