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Nadya [2.5K]
3 years ago
12

Jacqueline needs 8 gallons of gas. She only has $25. The constant of proportionality of the gas is $3.75. Does she have enough m

oney to get 8 gallons of gas?
Mathematics
2 answers:
Darina [25.2K]3 years ago
7 0

Answer:

No

Step-by-step explanation:

1 gallon: 3.75$

8 gallon: x

x= 8×3.75

x= 30$

Alla [95]3 years ago
4 0

Answer:

D. No

Step-by-step explanation:

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A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte
AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

\angle SPR=Angle subtended by the statue to where you are standing.

\angle x=\angle RPQ= which is unknown.

Let us begin solving now. The first step is to find the angle \angle x which can be found by using the following trigonometric ratio in \Delta PQR :

tan(x)=\frac{RQ}{PQ} =\frac{21}{57}

Which gives \angle x to be:

\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}

Now, we know that\angle x and \angle SPR can be added to give us the complete angle \angle SPQ in the right triangle \Delta SPQ.

We can again use the tan trigonometric ratio in \Delta SPQ to solve for the height of the statue, h.

This can be done as:

tan(\angle SPQ)=\frac{SQ}{PQ}

tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}

tan(27.32^0)=\frac{h+21}{57}

\therefore h+21=57tan(27.32^0)

h\approx8.45 ft

Thus, the height of the statue is approximately, 8.45 feet.

3 0
3 years ago
three zebras are chilling in the desert. suddenly a lion attacks. each zebra is sitting on a corner of an equally length triangl
AnnyKZ [126]

Probability that no zebras collide is 0.25

The zebras are represented as z1, z2 and z3.

Z1 to B, Z2 to C, and Z3 to A come first = (\frac{1}{2})^3

Following that, z1 to C, z2 to A, and z3 to B = (\frac{1}{2})^3

Consequently, the likelihood of no collision is 2×1/8 = 0.25.

<h3>What are the types of probability distributions ?</h3>

Discrete and continuous probability distributions are the two main categories in which probability distributions fall. There are numerous varieties of probability distributions within each category.

  • The number of favorable outcomes of an event divided by the total number of possible outcomes of an event can be used to calculate the probability of an event.
  • The likelihood of a sure or certain event is one.
  • The likelihood of an impossibility is 0 (0).
  • Every event has a probability between 0 and 1.

To learn more about Probability, visit

brainly.com/question/3069881

#SPJ4

4 0
1 year ago
Did I do this correctly??please help​
soldier1979 [14.2K]
I’m not sure, hope this helped
5 0
3 years ago
Read 2 more answers
Plz help me solve this
posledela

1.-28×-28×-28+13×13×13+16×16×16

=21,952+2,197+4,096

=28,245.

2.12×12×12+-7×-7×-7+-5×-5×-5

=1,728+-343+-125

=1,260

6 0
3 years ago
What is the slope of the line that passes through the points (-7, -7) and (-7, 1) ?
ICE Princess25 [194]

Answer:

undefined

Step-by-step explanation:

(-7, -7) and (-7, 1)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(1 - (-7)) / (-7 - (-7))

Simplify the parentheses.

= (1 + 7) / (-7 + 7)

Simplify the fraction.

8/0

= undefined

Our line is a vertical line, which has an undefined slope.

Hope this helps!

6 0
3 years ago
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