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3 years ago

Help please thanks show work

Mathematics

1 answer:

marshall27 [118]3 years ago

6 0

Answer:

x = 18

Step-by-step explanation:

7x - 24 is a verticasl angle with an angle that is an...

Alternate interior angle with the combines values of 49 and 3x so they are equal

49 + 3x = (7x -23)

72 = 4x

x = 18

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40% of xxx is 35.

Sholpan [36]

Answer:

87.5

Step-by-step explanation:

40% = 35

1% = 0.875

x = 0.875 x 100 = 87.5

4 0

3 years ago

What’s the area of the triangle?

FinnZ [79.3K]

It’s 24 because it’s half of base times height

5 0

2 years ago

A whale descends 382.5 feet in 45 seconds. Write an expression that can be used to find the average elevation change of the whal

NNADVOKAT [17]

Answer:

Part a) The expression is $y=-8.5x$

Part b) -51 feet

Step-by-step explanation:

The complete question is

A whale descends 382.5 feet in 45 seconds.

The whale's elevation changes at a constant rate.

Part a) Write an expression that can be used to find the average elevation change of the whale during its descent in feet per second

Part b) What is the elevation change of the whale after 6 seconds?

Part a)

we know that

Find out the unit rate

To find out the unit rate divide the total elevation by the total time

Remember that

The sea level represent the level zero

If a whale descends, then the elevation is negative (below the sea level)

$\frac{-382.5}{45}\ \frac{ft}{sec}=-8.5\ \frac{ft}{sec}$

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

$y/x=k$ or $y=kx$

Let

x ----> the time in seconds

y ----> the elevation in feet

In this problem we have a proportional relationship, because the line passes through the origin (For x=0, y=0)

$y=kx$

The value of the constant of proportionality k is equal to the unit rate or slope of the linear equation

$k=-8.5\ \frac{ft}{sec}$

substitute

$y=-8.5x$

Part b) For x=6 sec

substitute in the linear equation

$y=-8.5(6)$

$y=-51\ ft$

3 0

3 years ago

Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the ratio of their volumes? Wha

BabaBlast [244]

Ratio of their volumes = a³ : b³

Ratio of their surface areas = $$\frac{a^{2} + a\sqrt{4h^{2}+a^{2}}}{b^{2} + b\sqrt{4h^{2}+b^{2}}}$

Step-by-step explanation:

Two square pyramids are similar with their edges are in the ratio of a : b.

Volume of a square pyramid with edge and h = a is given by the formula,

= $$\frac{a^{2}\times h }{3}$ = $$\frac{a^{3} }{3}$

Volume of a square pyramid with edge b and h = b is given by the formula,

= $$\frac{b^{2}\times h }{3}$ = $$\frac{b^{3} }{3}$

Ratio of their volumes = a³ : b³ since h/3 gets cancelled.

Total surface area of square pyramid with the edge a =

$$a^{2} + a\sqrt{4h^{2}+a^{2}}$

Total surface area of square pyramid with the edge b =

$$b^{2} + b\sqrt{4h^{2}+b^{2}}$

Ratio of the surface area = $$\frac{a^{2} + a\sqrt{4h^{2}+a^{2}}}{b^{2} + b\sqrt{4h^{2}+b^{2}}}$

8 0

3 years ago

If a die cast rally car drove 81 meters per second, how long did it take for it to go 90 meters. Round your answer to the neares

Levart [38]

Answer:

The car took 1.11 seconds to go 90 meters.

Step-by-step explanation:

Set up an equation:

Variable x = number of seconds to travel 90 meters

81 meters/1 second = 90 meters/x seconds

Take out the variables for now to focus on calculations:

81/1 = 90/x

Cross multiply:

81 × x = 1 × 90

81x = 90

Divide both sides by 81:

x = 1.111111111... seconds

Round to nearest hundredth (hundredth is the second decimal place):

x = 1.11

3 0

3 years ago