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2 years ago

In a survey of 1,600 people who owned a certain type of car, 480 said they would buy

Mathematics

1 answer:

nlexa [21]2 years ago

6 0

(480/1600)×100=30

(480×100)/1600=30

.°.30% were satisfied with the car.

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When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is Sandy, to th

Makovka662 [10]

Answer:

The height of Sandy is 68.74 inches.

Step-by-step explanation:

It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.

Let the height of Sandy be x.

Sandy casts a shadow that is 9 feet 2 inches long.

We know that 1 feet = 12 inches

Using this conversion, we get

Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches

In a right angled triangle,

$\tan\theta =\frac{perpendicular}{base}$

In triangle ABC,

$\tan(\angle C)=\frac{AB}{BC}$

$\tan(32^{\circ})=\frac{x}{110}$

Multiply both sides by 110.

$110\tan(32^{\circ})=x$

$68.73562871=x$

$x\approx 68.74$

Therefore the height of Sandy is 68.74 inches.

8 0

3 years ago

my neighbor has two cats and both cats have yellow eyes. therefore when to cats live together, they will both have yellow eyes.

Whitepunk [10]

Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
Here, we know that these two cats live together and that they have yellow eyes. These two statements are true. So, naturally, we can conclude that any two cats which live together will have yellow eyes.
Now, whether or not this is correct, that is beside the point.

3 0

3 years ago

dont want to go to summer school would be so thankful to anyone who could help me with this math problem

Zigmanuir [339]

Looks like you going to summer school

4 0

2 years ago

Write the following number as ratios of integers

s2008m [1.1K]

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let $x=7.\overline{6}$ . We want to cut the $0.\overline{6}$ bit off completely, so let's create the scalpel that'll let us do that. If $x=7.\overline{6}$ , then we can also say that $10x=76.\overline{6}$ . Maybe I was lying a bit: the $x$ is our real scalpel here, and $10x$ is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting $x$ off of $10x$ ) leaves us with:

$10x-x=76.\overline{6}-7.\overline{6}\\9x=69$

The operation was a success! We can now simply divide either side by 9 to find $x = 69/9$ , which, when reduced by dividing the numerator and denominator by 3, gives us $x=23/3$

7 0

3 years ago

Four sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discou

Orlov [11]

Answer:

$40

Step-by-step explanation:

x is the original price of the gift

(10% of x) is the value of the discount

(10% of x) = 10/100 . x = 0.1 x

0.1 x is the value of the discount

x - (10% of x) is what was paid, after the discount

x - 0.1 x = 0.9 x

0.9 x is what was paid

4 children paid $9/each

4 times $9 = $36

$36 is the total amount that was paid by the children

$36 = 0.9 x

$36 / 0.9 = x

x = $36 / 0.9 = 360 / 9

x = 40

;-)

4 0

3 years ago