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3 years ago

Find the area of the trapezoid shown. A. 39 square root 3 sq units B. 43.5 sq units C. 43.5 square root 3 sq units

Mathematics

1 answer:

Ivan3 years ago

5 0

Answer:

43.5√3 sq. units

Step-by-step explanation:

Base 1 of trapezoid is 10.

Base 2 of trapezoid is 16 + 3 = 19

The height = 3√3 (To get the height you had to multiply the number 3 from the bottom base of the trapezoid by the square root of three)

Now plug these numbers into the trapezoid formula: A = 1/2(3√3)(10 + 19)

Simplify to get: 43.5√3 sq. units

Hope this helps you understand! P.S. I helped someone else out on this problem, so I just copied and pasted my answer from the previous brainly question onto here. :) So, it's still my own work.

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AC and DB are chords that intersect at point H.

valentinak56 [21]

Answer:

16 units

Step-by-step explanation:

see the attached figure to better understand the problem

Applying the Intersecting Chords Theorem

we have that

$AH*HC=DH*HB$

substitute the given values

$(20-x)(x)=(x+4)(12-x)$

$20x-x^2=12x-x^2+48-4x$

Simplify

$20x=8x+48$

$20x-8x=48$

$12x=48$

$x=4$

Find out the length of segment DB

$DB=DH+HB$

$DB=(x+4)+(12-x)=16\ units$

<em>Note</em> In this problem it was not necessary to determine the value of x to calculate the DB segment.

Anyway, the calculation was done for didactic purposes.

7 0

3 years ago

Read 2 more answers

Can someone help me please

d1i1m1o1n [39]

Answer:

a. 1200 f. 900

b. 600 g. 5700

c. 900 h. 4800

d. 300 i. 8300

e. 800 j. 8500

Step-by-step explanation:

First of all, you need to compute the sums. I find a calculator handy for this.

To round to hundreds, you can examine the digit in the next place to the right of the hundreds place. That digit in the tens place needs to be compared to 5. If it is 5 or greater, add 1 to the digit in the hundreds place. After you have done that, set the digits to the right of the hundreds place to zero.

Alternatively, you can add 1/2 of 100 to the sum, then set the digits to the right of the 100s place to zero. (Adding 50 will only change the 100's place digit if the 10's place digit is 5 or more.) This method doesn't require you do any thinking about the size of the digit; it is purely mechanical.

The sums and their rounded values are ...

a. 1221 ⇒ 1200

b. 568 ⇒ 600

c. 931 ⇒ 900

d. 347 ⇒ 300

e. 798 ⇒ 800

f. 911 ⇒ 900

g. 5681 ⇒ 5700

h. 4766 ⇒ 4800

i. 8328 ⇒ 8300

j. 8507 ⇒ 8500

8 0

4 years ago

The question is in the image

Drupady [299]

Answer:

h(t) = -5*t^2 + 20*t + 2

Step-by-step explanation:

First, we know that the motion equation of the ball will be quadratic, so we write the equation:

h(t) = a*t^2 + b*t + c

Now we need to work with the data in the table.

h(1) = 17

h(3) = 17

h(1) = h(2) = 17

Then we have a symmetry around:

(3 - 1)/2 + 1 = 2

Remember that the symmetry is around the vertex of the parabola, then we can conclude that the vertex of the parabola is the point:

(2, h(2)) = (2, 22)

Remember that for a quadratic equation:

y = a*x^2 + b*x + c

with a vertex (h, k)

we can rewrite our function as:

y = a*(x - h)^2 + k

So in this case, we can rewrite our function as:

h(t) = a*(t - 2)^2 + 22

To find the value of a, notice the first point in the table:

(0, 2)

then we have:

h(0) = 2 = a*(0 - 2)^2 + 22

= 2 = a*(-2)^2 + 22

2 = a*(4) + 22

2 - 22 = a*(4)

-20/4 = -5 = a

Then our function is:

h(t) = -5*(t - 2)^2 + 22

Now we just expand it:

h(t) = -5*(t^2 - 4*t + 4) + 22

h(t) = -5*t^2 + 20*t + 2

The correct option is the first one.

4 0

3 years ago

What is the surface area of this rectangular prism?

Ugo [173]

Answer:

2,700

Step-by-step explanation:

A=2(wl+hl+hw)=2·(20·30+15·30+15·20)=2700

6 0

3 years ago

What is the factored form of a2 – 121?

Elina [12.6K]

A^2 -121 = a^2 -11^2 = (a-11)(a+11)

so the second choice is right sure

5 0

4 years ago