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3 years ago

13

Jared has three acres to mow it takes 1 hour to mow 1 and 1/2 an acre how long would it take him to finish all his mowing

1 answer:

ololo11 [35]3 years ago

7 0

Answer:

It would take Jared 2 hours to finish mowing 3 acres at that rate.

Step-by-step explanation:

If it takes Jared 1 hour to mow 1 and 1/2 acres of lawn and he has to mow three, then 1 1/2 acres x2= 3 acres and 1 x2= 2 so it would take Jared 2 Hours to mow 3 acres of Lawn

Hope this helps!

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A line has a slope of -1/4 and passes through point (-5/4, 1) What is the equation of the line?

Vedmedyk [2.9K]

The line of the equation would be y = -1/4x + 11/16.

In order to find that, we'll put the ordered pair and the slope into slope intercept form. Then we can solve for the intercept.

y = mx + b
1 = -1/4(-5/4) + b
1 = 5/16 + b
11/16 = b

So then we put that in the equation with slope for the final equation.

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2 years ago

Find the area of a circle with a radius of 21 feet. Use 22/7 for pi.

shusha [124]

Answer:

1386 square units

Step-by-step explanation:

Area of a cirlce = Pi x r^2 [ Pi is 22/7 as stated in question]

22/7 x 21^2 = 1386 sq. units

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3 years ago

The sum of two numbers is -9. The difference of the two numbers is -41. What are the two numbers?

Nataly [62]

Answer:

the two numbers are 16 and -25

Step-by-step explanation:

Let the two numbers be x and y

x+y=-9

x-y=-41

By substitution

y=-9-x

x-(-9-x)=-41

x+9+x=-41

2x=-41-9

2x=-50

x=-25

y=-9-(-25)

y=16

6 0

2 years ago

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centi

Rom4ik [11]

Answer:

<em>The base is 24 cm long.</em>

Step-by-step explanation:

<u>Equations</u>

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

$\displaystyle A=\frac{bh}{2}$

$\displaystyle A=\frac{(h+9)h}{2}$

And its value is 180:

$\displaystyle \frac{(h+9)h}{2}=180$

Multiplying by 2:

$(h+9)h=360$

Operating:

$h^2+9h-360=0$

Factoring:

$(h-15)(h+24)=0$

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

7 0

3 years ago

Triangle ABC is an isosceles triangle in which side

Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using this formula, we get

$AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5$

$BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}$

$AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5$

Now,

Perimeter of triangle ABC = AB + BC + AC

$=5+\sqrt{10}+5$

$=10+\sqrt{10}$

So, perimeter of triangle ABC is $10+\sqrt{10}$ units.

Therefore, the correct option is B.

4 0

2 years ago

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