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3 years ago

Can some one help with 18 and 19

Mathematics

1 answer:

bulgar [2K]3 years ago

5 0

By by pythagorean theorem
12 (squared) + r (squared) = (8+r) squared
so 144 + r ( squared) = 64 + r (squared) +16r
so solving for r:
144 -64 = r squared –r squared + 16r
80 = 16r
so r = 80/16= 5

the second is the same
21 squared + r squared = (9 + r ) squared
441 + r squared = 81 + r squared + 18r
441 – 81 = r squared – r squared + 18r
r = 360/18 = 20

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A car takes 4 hours to reach a destination traveling at a speed of 63 km/h. How long will it take to cover the same distance if

Gre4nikov [31]

Answer:

It will take 4.5hrs to cover the same distance

The constant of variation,k=252

Step by step explanation

Given that,

$speed = \frac{distance}{time}$

From the question

Time=4hr

Speed=63km

By substitution we obtain,

$63= \frac{distance}{4}$

Cross multiplying we get,

$distance=63 \times 4$

$distance=252km$

Now,

speed=56km

Distance Covered=252km

By substitution:

We obtain,

$56= \frac{252}{time}$

Cross multiply

$56\times time=252$

Divide through by 56

$time= \frac{252}{56}$

$time=4.5hrs$

From the formula,

$speed= \frac{distance}{time}$

Which means that, speed and time varies inversely.

$speed\propto \frac{1}{time}$

Let k be variation constant

This implies that

$speed = k \times \frac{1}{time}$

$k=speed \times{time}$

Taken,

Time=4hrs

speed=56km

$k=56\times4$

$k=252$

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3 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=3/4x-9;(-8,-18)

d1i1m1o1n [39]

Answer:

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3 years ago

Order these numbers from least to greatest. 2.9, 2.207, 3.76, 2.27

Lelu [443]

Answer:

From least to greatest, the order would go: 2.207, 2.27, 2.9, 3.76.

Step-by-step explanation:

To find the least greatest number, we have to look at each digit. In this number sequence, the least greatest number is a 2 for the single digit. With those 2s, 2.2 is the lowest out of them. And out of the 2.2s, the 2.207 is smaller than the 2.27. The 2.27 is the next number, then the 2.9 and then the 3.76.

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4 years ago

Read 2 more answers

Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x

Savatey [412]

The polynomial remainder theorem states that the remainder upon dividing a polynomial $p(x)$ by $x-c$ is the same as the value of $p(c)$ , so to find $p(-10)$ you need to find the remainder upon dividing

$\dfrac{2x^3+14x^2-58x}{x+10}$

You have

..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2

So the quotient and remainder upon dividing is

$\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}$

with a remainder of 2, which means $p(-10)=2$ .

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4 years ago

The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure of the sma

Neporo4naja [7]

First we need to define our conditions. Since the angles are complimentary, the sum of the angles must be equal to 90 degrees.

let x = first angle
y = second angle

x + y = 90

from the second condition in the problem

x + y =72 + x -y
solving for x

x= 54

therefore the shorter side is 90 - 54 = y

y = 36 degree, the shorter side

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3 years ago