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3 years ago

I need help with this Pythagorean Theorem word problem

Mathematics

1 answer:

frez [133]3 years ago

5 0

Answer:

10.63.

Step-by-step explanation:

First we need to understand pythagorean theorem that is,

Hypotenuse^2=perpendicular^2+base^2.

=7^2+8^2.

=49+64

=113.

Hypotenuse^2=113.

Square root both sides.

Hypotenuse=10.63.

You might be interested in

Translate the expression: “the difference between twice a number and 23”

kherson [118]

Answer:

23- 2x

Step-by-step explanation:

Twice a number is 2 and "x" represents "a number"

Key words: Twice, Difference (subtraction)

7 0

2 years ago

Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

$a\cdot b=0$

By using the property

$(u+v)\cdot (u-v)=0$

We know that

$(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2$

$\mid u\mid ^2-\mid v\mid^2=0$

$\mid u\mid^2=\mid v\mid^2$

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

$\mid u\mid=\mid v\mid$

Hence, the length of vectors u and v must have the same length.

5 0

3 years ago

Please solve this for me thank you!

melamori03 [73]

Answer:

620.14

Step-by-step explanation:

Original Equation:

$\frac{4y}{1.025^4}+y-2y(1.05)^2=1500$

Calculate exponents

$\frac{4y}{1.103812890625}+y-2y(1.1025)=1500\\$

Simplify:

$3.6238025791990193084270042653997y + y - 2.205y = 1500$

Add like terms

$2.4188025791990193084270042653997y \approx 1500$

Divide both sides by 7.012

$y\approx 213.91$ $y\approx620.14$

6 0

2 years ago

Read 2 more answers

Express the following equation in slope-intercept form: 13x - 3y = 18 Select the best answer from the choices provided. A. y = 3

AveGali [126]

Answer:

The equation in the slope-intercept form is y = $\frac{13}{3}x$ + -6 ⇒ C

Step-by-step explanation:

The slope-intercept form of the linear equation is

y = m x + b, where

m is the slope of the line

b is the y-intercept

∵ The equation is 13x - 3y = 18

→ At first move x from the left side to the right side by subtracting 13x

from both sides

∴ 13x - 13x - 3y = 18 - 13x

∴ - 3y = 18 - 13x

→ Make the coefficient of y equal 1 by dividing both sides by -3

∵ $\frac{-3y}{-3}=\frac{18}{-3}-\frac{13x}{-3}$

∴ y = -6 - ( $-\frac{13}{3}x$ )

→ Remember (-)(-) = (+)

∴ y = -6 + $\frac{13}{3}x$

→ Switch the two terms of the right side

∴ y = $\frac{13}{3}x$ + - 6

∴ The equation in the slope-intercept form is y = $\frac{13}{3}x$ + -6

7 0

3 years ago

I geologist note is that the land alone at fault line moved 24.8 cm over the past 175 years on average how much did the land mor

zmey [24]

First, let's establish a ratio between these two values. We'll use that as a starting point. I personally find it easiest to work with ratios as fractions, so we'll set that up:

$\frac{24.8\ cm}{175\ years}$

To find the distance per year, we'll need to find the unit rate of this ratio in terms of years. The word unit refers to the number 1 (coming from the Latin root uni- ); a unit rate involves bringing the number we're interested in down to 1 while preserving the ratio. Since we're looking for the distance the fault line moves every one year, we'll have to bring that 175 down to one, which we can do by dividing it by 175. To preserve our ratio, we also have to divide the top by 175:

$\frac{24.8\ cm}{175\ years}\div \frac{175}{175} \approx 
\frac{0.14\ cm}{1\ year}$

We have our answer: approximately 0.14 cm or 1.4 mm per year

3 0

3 years ago