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igor_vitrenko [27]
2 years ago
5

Find the area of the trapezoid

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
6 0

Answer:

44

Step-by-step explanation:

Formula

\frac{1}{2}  \times h \times (sum \: of \: parallel \: sides(b1 + b2))

Your scale is 2cm to 2units therefore the parameters are as follows

h=4

b1=9

b2=13

\frac{1}{2}  \times 4 \times (9 + 13)

\frac{1}{2}  \times 4 \times 22

\frac{1}{2}  \times 88

\frac{88}{2}  \\  = 44

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Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 5 times the distance
guajiro [1.7K]
Distance from P to the x-axis = 2x distance from P to the yz-plane 

<span>Distance to the x-axis of a point P=(x,y,z) is (y^2+z^2)^1/2 </span>
<span>Distance to the yz-plane of a point P=(x,y,z) is x </span>

<span>So your equation is: </span>
<span>(y^2+z^2)^1/2 = 2x </span>
<span>=> y^2 + z^2 = 4x^2 </span>
<span>=> y^2 + z^2 - 4x^2 = 0 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
6 0
3 years ago
What is the answer to -3(-6.2) = in simplest form
Ksju [112]

Answer:

18.6

Step-by-step explanation:

-3(-6.2)

~Expand

-3 * -6.2

~Multiply

18.6

Best of Luck!

4 0
3 years ago
SOLVE THIS EXTREMELY IMPORTANT EQUATION
finlep [7]

Answer:

<em>Option B; EF = ( About ) 4.47 units, Perimeter of Δ EFG = ( About ) 12.94 units</em>

Step-by-step explanation:

If we were to consider the height of this triangle EFG, it would be 4 units of length, supposedly splitting base GF into two ≅ parts, each 2 units of length. First let us name the point drawn to base GF ⇒ point H, so that the height of Δ EFG ⇒ EH. Now as EH splits GF into two ≅ parts, by Converse to Coincidence Theorem, Δ EFG ⇒ Isosceles Δ;

EH and FH are legs of a right triangle EFH, so that Pythagorean Theorem can be applied to solve for the length of EF and EG, knowing that as Δ EFG ⇒ Isosceles Δ, EF ≅ EG;

( EH )^2 + ( FH )^2 = ( EF )^2,

( 4 )^2 + ( 2 )^2 = ( EF )^2 ⇒ take square of 4 & 2,

16 + 4 = ( EF )^2 ⇒ combine like terms,

( EF )^2 = 20 ⇒ take square root on either side to solve for EF,

EF = √ 20 =<em> ( About ) 4.47 units</em> = EG,

Perimeter of Δ EFG = EF + GF + EG = 4.47 + 4 + 4.47 = <em>( About ) 12.94 units,</em>

<em>Solution; Option B</em>

6 0
3 years ago
The weights of cars passing over a bridge have a mean of 3,550 pounds and
Dovator [93]

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

Option C is the correct answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It has a range of 0 to 1.

It is given in the question that

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.

mean  = 3550

standard deviation,  = 870

Observed value, X = 4000

Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517

Probability of weight above 4000 lb

= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

To know more about Probability

brainly.com/question/11234923

#SPJ1

6 0
2 years ago
A system of two linear inequalities is graphed as shown, where the solution region is shaded.
Zinaida [17]

Answer:

(-3,2) is located in the solution region.

Step-by-step explanation:

3 0
3 years ago
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