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3 years ago

A dog ran 10 miles home. It took him 50 minutes to get there. How fast was he running? (have your answer in miles per hour)

Mathematics

2 answers:

Debora [2.8K]3 years ago

6 0

50 minutes＝5/6 hour
Speed＝distance÷time
Speed＝10÷5/6
Speed＝12 miles per hour

Hope my answer helped u :)

lord [1]3 years ago

4 0

12 miles an hour
Hope that helps :)

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Find area of the cross section of the dam pictured below

kondaur [170]

Answer:

(w + h cotθ)h

Step-by-step explanation:

Cross section is the isosceles trapezoid.

Area of trapezoid:

A = 1/2(a + b)h

We have one of the bases and the height.

Let the difference of the base lengths is x.

We have:

(x/2)/h = cot θ ⇒ x = 2h cot θ

The area is:

A = 1/2(w + w + 2h cot θ)h = (w + h cotθ)h

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3 years ago

Solving simultaneous equations with one quadratic, x^2+y^2=16 and y=x+3

Svetlanka [38]

If $y=x+3$ , then in the first equation you have

$x^2+(x+3)^2=x^2+(x^2+6x+9)=2x^2+6x+9=16$

Rewriting a bit, you get

$x^2+3x+\dfrac92=8$

$x^2+3x+\dfrac94+\dfrac94=8$

$\left(x+\dfrac32\right)^2=\dfrac{23}4$

$x=-\dfrac32\pm\dfrac{\sqrt{23}}2$

Now, since $y=x+3$ , you also get

$y=-\dfrac32\pm\dfrac{\sqrt{23}}2+3=\dfrac32\pm\dfrac{\sqrt{23}}2$

So, there are two solutions here:

$(x,y)=\left(-\dfrac32+\dfrac{\sqrt{23}}2,\dfrac32+\dfrac{\sqrt{23}}2\right)$
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3 years ago

I need help ASAP please

natta225 [31]

Answer:

2j+j =21

Step-by-step explanation:

if j is Jas

Henry is 2 × Jas; which is 2j

j = Jas

2j = Henry

Henry + Jas = 21

input values for Jas and Henry

2j + j = 21

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3 years ago

Question 6 of 12 ✓ 49 A. 8 O O B. 14 C. 7 SUBMIT

amm1812

Answer:

C. 7

Step-by-step explanation:

7 · 7 = 49

I hope this helps!

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3 years ago

What’s the size of angle x

ki77a [65]

Answer:

65 degrees.

Step-by-step explanation:

It's hard to explain, but I'll try:

The outside of the first two angles is 105 and 140. Half a whole angle is 180. So, you do

180-140=40. The inside is 40.

And then 180-105=75.

Then you add the two and subtract them from 180:

40+75= 115

180-115=65

Voila!

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3 years ago