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1 year ago

Calculate the areas of these shapes. Show your work.

Mathematics

2 answers:

Vanyuwa [196]1 year ago

6 0

Triangle:half of base x height which is 10
Parallelogram: base x height which is 54
Trapezoid: half of base1 + base2 x height which is 17.25

Irina18 [472]1 year ago

3 0

The area of a triangle is b + h divided by 2.
5 is the base 4 is the height so, 4x5=20 and 20/2 =10
so 10 is the answer.

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If 3/4 of a certain number is equal to 41/2 find the number

SSSSS [86.1K]

Answer:

$x = \frac{82}{3}$

Step-by-step explanation:

let $x$ be that number

$(\frac{3}{4} )x = \frac{41}{2}$

$\frac{3x}{4} = \frac{41}{2}$

multiply both sides by $4$

$\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\$

divide both sides by 3

$\frac{3x}{3} = \frac{82}{3}$

$x = \frac{82}{3}$

7 0

3 years ago

A right triangle has legs of length 4x and 20x. What is an expression for the hypotenuse of the right triangle

kherson [118]

Answer:

$4x\sqrt{26}$ .

Step-by-step explanation:

Given information:

$Leg_1=4x$

$Leg_2=20x$

According to the Pythagoras theorem,

$(hypotenuse)^2=(Leg_1)^2+(leg_2)^2$

Using Pythagoras theorem, we get

$(hypotenuse)^2=(4x)^2+(20x)^2$

$(hypotenuse)^2=16x^2+400x^2$

$(hypotenuse)^2=416x^2$

Taking square root on both sides.

$hypotenuse=\sqrt{416x^2}$

$hypotenuse=4x\sqrt{26}$

Hence, the expression of the hypotenuse is $4x\sqrt{26}$ .

5 0

3 years ago

Not quite sure how to work this out

Zina [86]

you have the hypotenuse and the opposite side so you will use sin
sin58= (30/q)
multiply both sides by q
q(sin58)=30
divide by sin58 in your calculatior
q=(30/sin58)
^ I don't have a calculator with me so you will need to plug that in

5 0

2 years ago

I am confused help??

PtichkaEL [24]

Answer:

Step-by-step explanation:

2 x 2 x 2 x 2 = 16

16 + ?

4 x 4 x 4 = 64

0.5 x 64 = 32

32 + 16 = 48

5 0

2 years ago

Read 2 more answers

Adam exchanged British pounds for Swiss franc He changed £400 into 592 francs What was the exchange rate of British pounds to Sw

OLEGan [10]

Answer: 1 : 1.48

Step-by-step explanation:

Adam was able to change £400 into 592 francs which means that the British pound is stronger because it was able to buy more Swiss francs.

The exchange rate can be gotten using direct proportion:

400 : 592

1 : x

Cross multiply:

400x = 592

x = 592/400

x = 1.48

Exchange rate is:

= 1 : 1.48

5 0

3 years ago