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SVETLANKA909090 [29]
3 years ago
7

What is the area of the figure ?

Mathematics
2 answers:
nlexa [21]3 years ago
6 0

Answer:

70 cm^2

Step-by-step explanation:

The area of square is 5×10=50 plus the square of triangle, high of triangle is 18-10=8 and base of triangle is 5 because it common base with square, so the square of triangle is 1/2(8)(5)=20

The total area is 50+20=70 cm^2

Gelneren [198K]3 years ago
3 0

Answer:  The correct option is (C) 70 cm².

Step-by-step explanation:  We are given to find the area of the figure shown in the picture.

We note that the figure is composed of rectangle and a triangle.

The length and width of the rectangle are

l = 10 cm  and  w = 5 cm.

So, the area of the rectangle is

A_r=l\times w=10\times5=50~\textup{cm}^2.

The base (b) of the triangle is 5 cm and the height (h) is  

h = 18 - 10 = 8 cm.

So, the area of the triangle is

A_t=\dfrac{1}{2}bh=\dfrac{1}{2}\times5\times8=20~\textup{cm}^2.

Therefore, the area of the figure is given by

A=A_r+A_t=50+20=70~\textup{cm}^2.

Thus, the required area of the given figure is 70 cm².

Option (C) is CORRECT.

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Which of the following expressions is 0.00012 written in scientific notation? A. 0.12 × 10^-3 B. 1.2 × 10^-4 C. 12 × 10^-5 D. 1.
In-s [12.5K]

Answer:

B. 1.2 x 10^{-4}

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.  Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.

1.2 x 10^-4

<u>Hope this helps and have a nice day!</u>

5 0
2 years ago
Read 2 more answers
1 1/2= v + 3/4 (that's 1 and a half, not 11 over 2)<br> what is v?
Irina-Kira [14]

Answer:

The value of v is 3/4.

Step-by-step explanation:

First, you have to convert mixed number into improper fraction :

1 \frac{1}{2} \\  =  \frac{2 \times 1 + 1}{2}  \\  =  \frac{3}{2}

In order to find the value of v, you have to substract 3/4 to both sides :

\frac{3}{2}  = v +  \frac{3}{4}

\frac{3}{2}  -  \frac{3}{4}  = v +  \frac{3}{4}  -  \frac{3}{4}

v =  \frac{3 \times 2}{2 \times 2}  -  \frac{3}{4}

v =  \frac{6}{4}  -  \frac{3}{4}

v =  \frac{3}{4}

8 0
3 years ago
Read 2 more answers
Which statements are true about the trigonometric ratios of this triangle​
rosijanka [135]

Answer:

Options (1), (2), (3) and (4)

Step-by-step explanation:

By applying the sine and cosine rules in the given triangle,

sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(30°) = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

sin(30°) = \frac{BC}{AB}

             = \frac{11}{22}

             = \frac{1}{2}

cos(60°) = \frac{BC}{AB}

              = \frac{11}{22}

              = \frac{1}{2}

sin(60°) = = \frac{AC}{AB}

              = \frac{11\sqrt{3} }{22}

              = \frac{\sqrt{3}}{2}

Options (1), (2), (3) and (4) are the correct options.

3 0
2 years ago
plz help ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
katen-ka-za [31]

Answer:

B. $5039.58

Step-by-step explanation:

compound interest formula: amount = p(1 + \frac{r}{n})^{nt}

p= principal ($2,300)

r= interest rate as a decimal (4% = 0.04)

n= number of times the principal is compounded per year (annually = onceper year so 1 time per year)

t= time in years (20 years)

new equation: amount = 2300(1+\frac{0.04}{1} )^{1*20}

That equation equals $2,739.58 which you add to the principal.

$2,739.58 + $2,300 = $5039.58

hope this helps :)

7 0
3 years ago
Read 2 more answers
What is 5(4x+7)=295 it is an equation
frutty [35]
Divide both sides by 5

4x + 7 = 59

Subtract 7 on both sides

4x = 52

Divide 4 on both sides

x = 13
3 0
3 years ago
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