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2 years ago

What is the area of a trapezoid ABCD with bases AB and CD , if: AB=10cm, BC=DA=13cm, CD=20cm

Mathematics

1 answer:

aliya0001 [1]2 years ago

7 0

Step-by-step explanation:

to find height :

draw a height from A to CD

height = (13) 2 - 5) 2 = 12 Cm

area = 10+20 /2 X 12= 180 cm 2

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Find the amount of each ordinary annuity. interest is compounded annually.

Svetlanka [38]

R=$350, I=0.05, n=15
A = 350 (1+0.05)^15 = 350(1.05)^15 = 350 (2.0789)=727.62 <- Answer

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3 years ago

A, B, and C are collinear, and B is between A and C. The ratio of AB to BC is 1:4.

schepotkina [342]

Let point C has coordinates $(x_C,y_C).$ Consider vectors

$\overrightarrow{AB}=(x_B-x_A,y_B-y_A)=(8-9,6-9)=(-1,-3),\\ \\\overrightarrow{BC}=(x_C-x_B,y_C-y_B)=(x_C-8,y_C-6).$

Since the ratio AB to BC is 1:4, you have that

$\dfrac{-1}{x_C-8}=\dfrac{1}{4}\quad \text{and}\quad \dfrac{-3}{y_C-6}=\dfrac{1}{4}.$

Find $x_C$ and $y_C:$

$x_C-8=-4,\\ \\x_C=-4+8=4,\\ \\y_C-6=-3\cdot 4=-12,\\ \\y_C=-12+6=-6.$

Answer: C(4,-6)

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2 years ago

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An ostrich run 6 mile in12 minut how far he could come in 40 minutes

bogdanovich [222]

The ostrich can run 20 miles in 40 minutes.

<u>Solution:</u>

Given that, An ostrich run 6 mile in 12 minutes

We have to find how far he could come in 40 minutes

Now, according to the given information

Ostrich runs 6 miles ⇒ 12 minutes

Then, “n” miles ⇒ 40 minutes

Now, by criss cross multiplication we get,

$\begin{array}{l}{\rightarrow 6 \times 40=n \times 12} \\\\ {\rightarrow 40=n \times 2} \\\\ {\rightarrow n=20}\end{array}$

Hence, the ostrich can run 20 miles in 40 minutes

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2 years ago

What is the square of √4

Elan Coil [88]

Answer:

Step-by-step explanation:

To find the square of a number, you multiply it by itself. This means √4 * √4 gives the answer. √4 can be simplified to 2 because 2^2 is 4. So, 2 *2 gives the answer, which is 4.

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3 years ago

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What kind of triangle is this?

Agata [3.3K]

B. As all the sides are different lengths and angle f is bigger than 90 so it is obtuse
Hope this helps

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3 years ago