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4 years ago

Kristoff worked 5 hours and earned $36.25. if his last paycheck was $797.50, how many hours did he work?

Mathematics

1 answer:

Darya [45]4 years ago

8 0

Answer:

110 hours

Step-by-step explanation:

36.25 divided by 5 = 7.25

7.25 x 110 = 797.50

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A test has 20 questions. If peter gets 80% correct, how many questions did peter missed?

Umnica [9.8K]

16 because if you put 16 into a percentage it's 80. 16 divide 20 times 100 equal 80

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3 years ago

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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

melamori03 [73]

Answer:

$6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}$

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs $AB=3$ , $BC=4$ , and $AC=5$ . The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . Therefore, the area of this right triangle is:

$A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}$

The other triangle is a bit trickier. Triangle $\triangle ADC$ is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

$A=\sqrt{s(s-a)(s-b)(s-c)}$ , where $a$ , $b$ , and $c$ are three sides of the triangle and $s$ is the semi-perimeter ( $s=\frac{a+b+c}{2}$ ).

The semi-perimeter, $s$ , is:

$s=\frac{5+5+4}{2}=\frac{14}{2}=7$

Therefore, the area of the isosceles triangle is:

$A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}$

Thus, the area of the quadrilateral is:

$6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}$

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3 years ago

2. Construct Arguments An ostrich runs 6 miles

Alekssandra [29.7K]

Answer:

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

Step-by-step explanation:

Distance run by the ostrich = 6 miles

Time the ostrich takes to run this distance = 12 minutes

Speed of the ostrich = Distance / Time

Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute

How far the ostrich could run in 40 minutes?

If the ostrich run 0.5 miles per minute, this is the formula:

Speed of the ostrich * 40 minutes = Distance

0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

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3 years ago

Is that a perfect square

chubhunter [2.5K]

Answer:

im gonna go with yes

Step-by-step explanation:

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3 years ago

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Hi! I need some help with this question!I am pretty sure my answer is correct , but I just need to check in overall and review t

podryga [215]

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx

Verify each table

Remember that

In a proportional relationship, the linear equation passes through the origin (0,0)

we have that

Am B and C passes through the origin

I will check table D

we have the points

(10,30) and (15,45)

Find the slope

m=(45-30)/(15-10)

m=15/5

m=3

Find the equation in slope intercept form

y=mx+b

we have

m=3

point (10,30)

substitute

30=3(10)+b

b=0

y=3x

Verify with this equation for the other points

For x=100

y=3(100)=300 ----> is ok

For x=200

y=3(200)=600 ----> is ok

that means

table D is proportional

Verify table C

we have

(0,0) and (1,3)

m=(3-0)/(1-0)

m=3

Find the equation in slope intercept form

y=mx+b

we have

m=3

point (0,0)

y=3x

Verify the other points

For x=2

y=2(3)=6

6 is not equal to 9

that means

table C is not proportiona

answer is C

4 0

2 years ago