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kenny6666 [7]
3 years ago
15

Kyle is finding the area of this figure using a rectangle and a triangle. What is the area of the figure?

Mathematics
2 answers:
alexgriva [62]3 years ago
6 0

Answer

Area of the figure which is combination of  rectangle and a triangle

  = Area of Rectangle + Area of Triangle

 = Length × Breadth + =\frac{1}{2}\times Base \times Height

 = 21 × 15 + =\frac{1}{2} \times 15 \times 12

= 315 + 90

= 405 cm²

Option (B)

MatroZZZ [7]3 years ago
3 0

Answer:

B.405 cm2

Step-by-step explanation:

12 times 15 is 315. The area of the rectangle is 315.

The area of the triangle is 90.

Add them and i got 405.

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Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.
cluponka [151]

Answer:

The approximate measure of angle K is 34°

Step-by-step explanation:

In ΔJKL

∠L = 105°

JK = 4.7

JL = 2.7

Sine Rule:

\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}

So,\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70

K ≈ 34°

So, Option B is true

Hence The approximate measure of angle K is 34°

5 0
3 years ago
How do you substitute 4(x) into the inequality 1/2x+5y-10<0 to find the possible value of y?
Veseljchak [2.6K]
You put 4 in the X
1/2(4)+5y-10<0
2+5y-10<0
-8+5y<0
5Y<8
Y<8/5
3 0
3 years ago
Which expressions are equivalent to -2(5x-1)+7(5x-1)-3(-5x+1)
blondinia [14]

Answer:

x=1/5

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's go back to the given question

-2(5x-1)+7(5x-1)-3(-5x+1)

We can actually equate the equation to zero

Let's solve

-10x+2+35x-7+15x-3=0

Let's collect like terms

-10x+35x+15x=-2+7+3

40x=8

Let's make x the subject of formula by dividing both sides by 40

x=1/5

So the final answer is 1/5

8 0
3 years ago
What is the following product?
Leona [35]

Answer:

First option: 6y^2sqrt(10) + 12sqrt(5y)

Step-by-step explanation:

3sqrt(10) * (2y^2 + 2sqrt(2y)

= 6y^2sqrt(10) + 6sqrt(20y)

= 6y^2sqrt(10) + 12sqrt(5y)

3 0
3 years ago
The temperature during the day in Miami was 92 degrees fahrenheit. During the night, the temperature fell 4 degrees fahrenheit.
BigorU [14]
You need to take away 4 degrees from 92.
"Take away" means subtraction.
92 - 4
The answer is option C.
4 0
3 years ago
Read 2 more answers
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