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3 years ago

Given the proportion below, what ratio is equivalent to w/5?

Mathematics

2 answers:

Naddik [55]3 years ago

6 0

X/w=y/5
wy=5x
wy/5=x
w/5=x/y
it should be a

Galina-37 [17]3 years ago

4 0

The correct answer should be A

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Four friends go out to dinner and decide to split the bill evenly. Each friend orders a soda for $2.00, an entree for $12.99 and

S_A_V [24]

Total bill-$67.95
each friends owes about $16.99

6 0

3 years ago

Given right triangle MNL what is the value of cos(M)?

FromTheMoon [43]

Step $1$

Find the length of the side MN

we know that

Applying the Pythagorean Theorem

$ML^{2} =NL^{2} +MN^{2}$

Solve for MN

$MN^{2}=ML^{2} -NL^{2}$

in this problem

$ML=25\ units\\ NL=15\ units$

Substitute in the formula above

$MN^{2}=25^{2} -15^{2}$

$MN^{2}=400$

$MN=20\ units$

Step $2$

Find the value of cos (M)

we know that

in the right triangle MNL

$cos (M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}$

$adjacent\ side\ angle\ M=MN=20\ units\\ hypotenuse=ML=25\ units$

Substitute

$cos (M)=\frac{20}{25}$

$cos (M)=\frac{4}{5}$

$cos (M)=0.8$

therefore

The answer is

The value of cos(M) is equal to $0.8$

6 0

3 years ago

A french fry stand at the fair serves their fries in paper cones. The cones have a radius of 22 inches and a height of 66 inches

icang [17]

Answer:

The height of the new cones will be 16.5 inches.

Step-by-step explanation:

We know that,

The volume of a cone is,

$V=\frac{1}{3}\pi r^2 h$

Where, r is the radius of the cone,

h is the height of the cone,

In the original cone,

r = 22 inches,

h = 66 inches,

Thus, the volume would be,

$V_1=\frac{1}{3}\pi (22)^2(66)$

Also, for the new cone,

r = 44 inches,

Let H be the height,

So, the volume of the new cone would be,

$V_2=\frac{1}{3}\pi (44)^2(H)$

According to the question,

$V_2=V_1$

$\implies \frac{1}{3}\pi (44)^2(H)=\frac{1}{3}\pi (22)^2(66)$

$\implies H=\frac{22^2(66)}{44^2}=(\frac{22}{44})^2\times 66 = \frac{66}{4}=16.5$

Hence, the height of the new cones will be 16.5 inches.

7 0

3 years ago

1) 3x – 2y=-16 Write the slope-intercept form of the equation of each line

raketka [301]

Answer:

y = $\frac{3}{2}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept gorm is

y = mx + c

Given

3x - 2y = - 16 ( subtract 3x from both sides )

- 2y = - 3x - 16 ( divide all terms by - 2 )

y = $\frac{3}{2}$ x + 8 ← in slope- intercept form

7 0

3 years ago

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This is a picture of a cube and the net for the cube.

morpeh [17]

Answer:

150cm2

Step-by-step explanation:

A=6a2, where a is the side of one face of the cube. Given a=5cm

A=6(5cm)^2

=6×25cm^2

=150cm^2 or 150cm2

3 0

3 years ago

Read 2 more answers