Solve for X LT1 10th grade level

Answer:

12

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2  where a and b are the sides and c is the hypotenuse ( the side opposite the right angle)

a^2 + b^2 = c^2

Substitute the known values

5^2 + b^2 = 13^2

25+b^2 = 169

Subtract 25 from each side

25+b^2-25 =169-25

b^2 = 144

Take the square root of each side

sqrt(b^2) = sqrt(144)

b=12

Answer:

Given:

To find:

missing side b

Solution:

Using Pythagorean theorem,

(Hypotenuse² = base² + perpendicular²)

b² = c² - a²

= 13² - 5²

= 169 - 25

= 144

b = √144

= 12

Answer:

The present value of this bond is simply the sum of these two present values: ... an investment in an 8%, $1,000 par value, 5-year Government of Canada bond. ... D.T-bill yield is calculated as (100-price)/price x (365/term) x 100. ... maturity (per $100 face value) for a bond with a 7.0% coupon, current market price of $107.50 ...

Step-by-step explanation:

The answer is C $1,018.75

Answer:

a = -3/2

Step-by-step explanation:

3(6a+12)=9

Divide each side by 3

3/3(6a+12)=9/3

6a+12 = 3

Subtract 12 from each side

6a+12-12 = 3-12

6a = -9

Divide by 6

6a/6 = -9/6

a = -3/2

3(6a+12)=9

distribute

18a+36=9

subtraction P.O.E.

18a=-27

division P.O.E.

a=-1.5

Answer:

23

Step-by-step explanation:

Answer:

5.34%.

Step-by-step explanation:

Given that,

Measured length of a line = 13.8 inches

Actual length of the line = 13.1  inches

We need to find the percent error of the measurement. We can find it as follows :

[tex]\%=\dfrac{|measured-actual|}{actual}\times 100\\\\\%=\dfrac{13.8-13.1}{13.1}\times 100\\\\\%=5.34\%[/tex]

So, the required percentage is equal to 5.34%.

Answer: 3.9 ft

Step-by-step explanation:

From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:

= 2.5 / 2

= 1.25 ft

Then, we calculate the circumference of the circle which will be:

= 2πr

= 2 × 3.14 × 1.25

= 7.85 ft

Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:

= 7.85/2

= 3.9 feet

Answer:

b

Step-by-step explanation:

Answer:

80.65% per minute

Step-by-step explanation:

For continous growth :

A = Pe^rt

A = amount after time, t

P = initial amount

r = growth rate

22583 = 4500 * e^r*2

22583 = 4500 * e^2r

22583 / 4500 = e^2r

5.0184444 = e^2r

Take the In of both sides

1.61312 = 2r

r = 1.61312 ÷ 2

r = 0.80656

0.80656 * 100% = 80.65%

Answer: 18

Step-by-step explanation:

First we want to turn 20% into a decimal so we can multiply it by 90.

So to do that we divide 20 by 100.

20/100=0.2 so 0.2 is the decimal form of 20%.

Then we multiply 90 by 0.2 to get 18 as our answer.

Answer:

Answer: 20% of 90 is 18.

Let's find 20% of 90.

Explanation

20% of 90 can be written as 20% × 90

= 20/100 × 90

= 18

Thus, 20% of 90 is 18.

Step-by-step explanation:

sorry if i get it wrong

I tried my best

Answer:

24 feet

Step-by-step explanation:

The formula for the height of a trapezoid =

h = 2A/ a + b

A = 960 square feet

a = 30 feet

b = 50 feet

h = 2 × 960/30 + 50

h = 1920/80

h = 24 feet

Answer:

Step-by-step explanation:1.1c

The expression for the price last month is 1.1c, and the cell phone was $438.9 last month

The given parameters are:

The price last month would be:

Price = Initial price * (1 + Increment)

This gives

Price = c * (1 + 10%)

Evaluate

Price = 1.1c

We have:

c = 399

So, the expression becomes

Price = 1.1 * 399

Evaluate

Price = 438.9

Hence, the cell phone was $438.9 last month

Read more about percentage change at:

https://brainly.com/question/247492

Answer:

V = 1436.76

Step-by-step explanation:

Formula:

V = 4/3πr³

Given:

r = 7

Work:

V = 4/3πr³

V = 4/3π(7³)

V = 4/3π(343)

V = 1436.76

Answer:

1/ab

Step-by-step explanation:

Complete question

Find the slope of the line containing the points whose coordinates are(a,1/b) and (b,1/a)

Slope is expressed as;

m = y2-y1/x2-x1

Substitute the coordinate values

m = (1/a - 1/b)/b -a

m = (b-a)/ab ÷ b-a

m = (b-a)/ab × 1/b-a

m = b-1/b-a × 1/ab

m = 1 × 1/ab

m = 1/ab

Hence the slope is 1/ab

Answer:

Step-by-step explanation:

1. 7x/3

2.7x/5

3. 2(1 + 3x)/5x

4. x-8??

5. 5x+9/27x

Not sure if i did  this how you wanted it done but i just simplified if its wrong let me know i can try to fix it

Step-by-step explanation:

We know that the sum of two sides of a triangle is always greater than the third side . Here , the sum of sides is , 24 + 29 = 53 .

Answer:

im not sure

Step-by-step explanation:

Answer:

the answer is 135

Step-by-step explanation:

Answer:

It is not.

Step-by-step explanation:

Using the Pythagorean Theorem, a squared + b squared = c squared, we get 25 + 64 = 100, and this is not true.

Answer:

16.5

Step-by-step explanation:

Tan70°=x/6

x=6tan70°

=16.5

Answer:

Step-by-step explanation:

slope = m

m = y2-y1  /  x2 - x1

m = (-4) - 7  / (-6) - (-4)

m = -11 /  (-6) + 4

m = -11 / -2

m = 11/2

:)

Answer: the true answer is A

Step-by-step explanation:

Good luck, give Brainliest

Using the normal distribution, it is found that the probability that more than 524 customers will come to the store on a given day is given by:

A. 0.15%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 428, \sigma = 32[/tex].

The probability that more than 524 customers will come to the store on a given day is one subtracted by the p-value of Z when X = 524, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{524 - 428}{32}[/tex]

Z = 3

Z = 3 has a p-value of 0.9985.

1 - 0.9985 = 0.0015 = 0.15%.

Hence option A is correct.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Answer:

Step-by-step explanation:

Answer:

70[tex]x^{2}[/tex]+30x-140

Step-by-step explanation:

(7x+3) (10x-14)

70[tex]x^{2}[/tex]-98+30x-42

70[tex]x^{2}[/tex]+30x-42-98

70[tex]x^{2}[/tex]+30x-140

Answer:

x = 9

Step-by-step explanation:

These are vertical angles, and thus the angles are equal.

7x + 3 = 10x - 24

Combining like terms, we get

27 = 3x, so that x must be 9.

x = 9

Answer:

C.

1 ≤ w ≤ 5

Step-by-step explanation:

Move all terms not containing  

w

from the center section of the inequality.

Inequality Form:

1 ≤ w ≤ 5

Interval Notation:

[ 1 , 5 ]

Answer:

114.6

Step-by-step explanation:

Left Side

It's a rectangle.

L = 12 km

w = 5 km

Area = L*W=                       = 60

Right Side (top)

It too is a rectangle.

L = 10

W = 3

Area = L*W =                        30

Triangles

Area = 1/2 * b  * h

Area = 1/2 * 12 * 4.1              24.6

Total Area                            114.6

Answer:

40

Step-by-step explanation:

The figure shown is a rectangular prism with a length of 1, a width of 8 and a height of 5 and given this information we want to find the volume

The volume of a rectangular prism can easily be calculated by multiplying the width by the length by the height

so the volume of this rectangular prism specifically = 5 * 8 * 1

5 * 8 = 40

40 * 1 = 40

so the volume is 40

Answer:

B

dy/dx = 4x/y

Sorry if it's wrong!

Answer:

2x

Step-by-step explanation:

Given the expression  10x^3 + 16x^2 - 18x, we are to find the GCF

First find the factors

10x^3 = 2 * 5 * x * x^2

16x^2 = 2 * 8 * x * x

18x = 2 * 9 * x

From the factors shown, you will see that 2 and x are the common factors. Hence the GCF of the expression is 2x