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Tema [17]
2 years ago
15

Find the area of the figure below

Mathematics
1 answer:
sergiy2304 [10]2 years ago
6 0

Answer:

27

Step-by-step explanation:

break shape into two parts

rectangle - 4*3=12

triangle 6*5/2 = 15

add rect and triangle tgt - 12+15=27

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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
taurus [48]

Answer:

The y-coordinate of their intersection point is 3

That is y=3

Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

7 0
3 years ago
The nature center has a fish tank
ANEK [815]

Answer:

288 small fish.

Step-by-step explanation:

The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:

a = l * w * h

l = 6

w = 4

h = 4

Replacing

a = 6 * 4 * 4

a = 96 cubic feet

they tell us that per cubic foot there is room for 3 small fish, therefore:

96 * 3 = 288

Which means that there are 288 small fish.

4 0
3 years ago
Read 2 more answers
Pleeeaaasseeee help (questions in photo) will mark brainliest
KIM [24]

Answer:

a. 0.8727rad

b. 5.585rad

that should be correct, if not, i apologize T_T

5 0
1 year ago
Refer to the figure at the right. If
asambeis [7]

Answer:m∠1 = 145°

m∠2 = 35°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

3 0
3 years ago
The ratio of alls weight to bobs weight is 4:5, the ratio of bobs weight to lunas weight is 6:7, what is the ratio of alls weigh
Andre45 [30]
All's =a
Bob's =b
Lunar =l

A:B = 4:5 B:C = 6:7
Multiply the two ratios above by 6 and 5 respectively

A:B = 24:30 and B:L=30:35
Now that we have the B's to be the same

Alls:Lunar = 24:35
4 0
3 years ago
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