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Shtirlitz [24]
2 years ago
12

Question 9 of 10 Which of the following is not true about the median of a trapezoid? A. The median connects the midpoints of the

legs of a trapezoid. B. The median is parallel to the bases of a trapezoid. C. The length of the median is half the sum of the lengths of the bases. D. The median connects the midpoints of the bases of a trapezoid.​
Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer:

B I had a question with the same exact answers on a quiz and got it rightt

Step-by-step explanation:

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A line passes through the points (15,−13) and (16,−11). Hollis writes the equation y+13=(x−15) to represent the line. Which answ
Andru [333]

The equation formula is y - y1 = m(x-x1)

Using the first point for x1, y1:

Y +13 = m(x-15)

M is the slope which is the change in y over the change in x:

M = -11–13 / 16-15 = 2/1 = 2

The equation becomes y +13 =2(x+15)

The answer is:

He incorrectly wrote the slope in his equation. He should have written y+13=2(x−15).

8 0
2 years ago
Two friends went fishing on a lake. One friend's lure went 23 feet below the lake's surface, while the other friend's lure sank
serg [7]

Answer:

Distance = 58\ feet

Step-by-step explanation:

Represent the lure's difference with A and B;

A = 23\ feet

B = 81\ feet

Required

Determine the difference in depth between the lure's depth

The distance is calculated as follows;

Distance = B - A

Substitute 23 feet for A and 81 feet for B

Distance = 81\ feet - 23\ feet

Distance = 58\ feet

<em>Hence, the distance between both lure's is 58 feet</em>

6 0
2 years ago
the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i
iVinArrow [24]
The volume given is 3Pi(x^3) and the radius is x. The formula for the volume of a cone is V= [1/3]Pi(r^2)*height => [1/3]Pi (r^2) x = 3Pi(x^3) => (r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 => r = sqrt[9x^2] = 3x. <span>Answer: r = 3x</span>
7 0
2 years ago
Read 2 more answers
What additional information could you use to show that ΔSTU ≅ ΔVTU using SAS? Check all that apply.
Ugo [173]
I believe the correct answers are:

<span>UV = 14 ft and m∠TUV = 45°</span>
<span>ST = 20 ft, UV = 14 ft, and m∠UST = 98°

Or, in other words, Options A and D.
</span>
6 0
2 years ago
Read 2 more answers
Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/
Norma-Jean [14]

Answer:

Therefore surface integral is \pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c.

Step-by-step explanation:

Given function is,

\vec{F}=\frac{bx}{a}\uvec{i}+\frac{ay}{b}\uvec{j}

To find,

\int\int_{S}\vec{F}dS  

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

\int\int_{S}\vec{F}dS

=\int\int\int_V\nabla.\vec{F}dV

=\int\int\int_V(\frac{b}{a}+\frac{a}{b})dV  

=\frac{a^2+b^2}{ab}\int\int\int_VdV

=\frac{a^2+b^2}{ab}\times \textit{Volume of the elliptic cylinder}

=\frac{a^2+b^2}{ab}\times \pi ab\times 2c=\pi (a^2+b^2)c

  • If unit vector \cap{n} directed in positive (outward) direction then z=c and,

\int\int_{S_1}\vex{F}.dS_1=\int\int_{S_1} . dA      

=\int\int_{S_1}.dA=0

  • If unit vector \cap{n} directed in negative (inward) direction then z=-c and,

\int\int_{S_2}\vex{F}.dS_2=\int\int_{S_2}. -dA      

=\int\int_{S_2}. -dA=0

Therefore surface integral without unit vector of the surface is,

\pi(a^2+b^2)c-0-0=\pi(a^2+b^2)c

5 0
2 years ago
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