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3 years ago

Jaime runs 2/3 of a mile in 1/6 of an hour. What is her unit rate, in miles per hour?

Mathematics

2 answers:

dsp733 years ago

5 0

Best answer is 4 miles

kifflom [539]3 years ago

4 0

1/6 of an hour is 10 minutes, so Jaime runs 2/3 of a mile in 10 minutes. To find how far she runs in 10 minutes, we will multiply 2/3 times 6 to get to the full 60 minutes.

2/3 • 6 = 4, so Jaime runs 4 miles per hour. (C)

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Uple Choice Worth 1 points)

scZoUnD [109]

Step-by-step explanation:

$( \frac{ {6}^{5} }{ {7}^{3} })^{2} \\ = \frac{ {6}^{10} }{ {7}^{6} }$

Hope it will help :)

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5 0

3 years ago

Calculate the length of ac

svlad2 [7]

Answer:

12.1 cm

Step-by-step explanation:

Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.

sin(C)/c = sin(A)/a

C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°

Then angle B is ...

B = 180° -A -C = 180° -81° -36.86° = 62.14°

and side b is ...

b/sin(B) = a/sin(A)

b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835

The length of AC is about 12.1 cm.

_____

Comment on the solution

The problem can also be solved using the law of cosines. The equation is ...

13.5² = 8.2² +b² -2·8.2·b·cos(81°)

This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.

b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)

b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit

3 0

3 years ago

Read 2 more answers

Find the next number in the number sequence 1,2,4,8,16,... A) 24 B) 12 C) 20 D) 32

Fantom [35]

Answer:

Step-by-step explanation:

To get from 1 to 2 you multiply by 2.

To get from 2 to 4 you multiply by 2.

Notice how each number is multiplied by 2? Now try multiplying 16 times 2 which would be 32.

4 0

3 years ago

Read 2 more answers

It is possible to get 2 solutions when the system of equations is: (check all that apply)

SVETLANKA909090 [29]

Answer:

A system of the equation of a circle and a linear equation

A system of the equation of a parabola and a linear equation

Step-by-step explanation:

Let us verify our answer

A system of the equation of a circle and a linear equation

Let an equation of a circle as $x^2+ y^2 = 1$ ..........(1)

Let a liner equation Y = x ............(2)

substitute (2) in (1)

$x^2 + x^2 = 1\\2x^2 = 1\\$

$x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$ so Y = $+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }$

so the two solution are ( $(\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }$ )

A system of the equation of a parabola and a linear equation

Let equation of Parabola be $y^2 = x$

and linear equation y = x

substitute

$x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1$

Y = 0,1

so the two solutions will be (0,0) and (1,1)

3 0

3 years ago

I AM CALLING ALL ACES, EXPERTS, SMARTY PANTS, ETC!!! :)) (MATH 50 POINTS)

8_murik_8 [283]

10. The volume of the triangular prism is $V=A_{base}\cdot H=\dfrac{1}{2} height \cdot base\cdot H$ , then

$V=\dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=23.1$ .

11. The volume of the triangular pyramid is $V=\dfrac{1}{3}A_{base}\cdot H=\dfrac{1}{3}\cdot \dfrac{1}{2} height \cdot base\cdot H$ , then

$V=\dfrac{1}{3}\cdot \dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=7.7$ .

12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.

13. See 10 and 11 for notations in symbols.

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3 years ago