Mathematics High School

Find the value of x.

Answers

Answer 1

Answer:

Step-by-step explanation:

Comment

The general formula for a tangent and secant is

tangent^2 = external segment * full length of the secant.

Givens

tangent length = x

external segment = 7

secant length = 7+ 21

Formula

x^2 = 7 * (7 + 21) Remove brackets

x^2 = 7 * 28 Combine

x^2 = 196 Take the square root of both sides

√x^2 = √196

x = 14

Answer: x = 14

Related Questions

On Friday, Beth sold 2 pitchers of lemonade from her lemonade stand. On Saturday, she sold 2 1/2 times as much lemonade as on Friday. How many pitchers of lemonade did Beth sell on Saturday

Answers

Answer:

She sold 5 pitchers of lemonade.

Step-by-step explanation:

She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.

:33333

In a company's first year in operation, it made an annual profit of $247,500. The
profit of the company increased at a constant 16% per year each year. How much
total profit would the company make over the course of its first 10 years of operation,
to the nearest whole number?

Answers

To calculate this sort of problem:

⇒ involves calculating the total profits over each year

⇒ with a constant increase periodically

⇒ need to use the Compound Interest Equation

[tex]A = P(1+\frac{r}{n})^{nt}[/tex]

A: total amount after t yearsP: initial amount in accountr: rate per periodn: number of times the profit increases per yeart: number of years

Let's fill in some variables:

P: $247500r: 16% increase (in equation form, we plugin 0.16)n: 1 time per yeart: 10 years

What do we want to know:

A: total amount after 10 years

Let's solve:

[tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]

To the nearest whole number

Answer: $1,091,830

Hope that helps!

Select the graph that matches the equation y = 8
5
10
x + 9.

Answers

Answer:

option C

Step-by-step explanation:

y = mx + b → y = 8.5x + 9

b is the y intercept: 9

m is the slope: 8.5

to identify this on the graph, the y intercept is when x = 0

crossing the vertical bold (y) line

so which one is at 9? c is the only one at 9

please help thanks :)

Answers

The equation of line A and line B will be y =4 and x = 8, respectively.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

We know the equation of the line parallel to the x-axis.

y = c

The equation of line A will be

y = 4

We know the equation of the line parallel to the y-axis.

x = c

The equation of line B will be

x = 8

More about the linear system link is given below.

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Need help please answer ASAP!

Answers

Answer:

See below ~

Step-by-step explanation:

Question 18

Diameter = Difference in y-coordinatesDiameter = 12 - 2 = 10We know : Radius = Diameter/2Radius = 10/2Radius = 5 cm(1) 5 cm

Question 19

3x² - 34x - 24 = 0(3x + 2)(x - 12) = 0Solution set = {-2/3, 12}(3) {-2/3, 12}

Length of diameter

√(2-2)²+(2-12)²√(-10)²10units

Length of radius=10/2=5

3x²-34x-24=0(x-12)(3x+2)=0x=12 or -2/3

Solution set

{-2/3,12}

find the value of x.....

Answers

X = 18

4x + x = 90
5x = 90
X = 90/5
X = 18

Check your work

4 (18) + 18 = 90

72 + 18 = 90
90=90

What is Mean, median and mode of these numbers below?

25
25
25
25
50
50
125
125
125
375

Answers

Answer:

Mean: 95, Median: 50 Mode: 25

Step-by-step explanation:

1.Mean: add all the numbers then divide by the number of numbers there

25+25+25+25+50+50+125+125+125+375= 950

950 divided by 10 = 95

2.Median :is the number in the middle of all the numbers in this case we have 2 so we will ad those two then divide them by two

50+50=100 100/2 = 50.

3. Mode : this is the most recurring number there and in this case it's 25

Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56

Answers

The means of simplifying is by factoring. The simplified form of the expression is 3x² - 29x + 56

Simplifying expressions

The means of simplifying is by factoring

Given the expression

(x - 7) (3x-8)

Expand

(x - 7) (3x -8)

3x² -8x - 21x +56

3x² - 29x + 56

Hence the simplified form of the expression is 3x² - 29x + 56

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Regina graphs the relationship between temperature (in °C) degrees and elevation (in M) in 9 different cities (Shown below).

What is the meaning of point A?
Choose 1 answer:

(Choice A)
A city 6m below sea level is 5° C below zero

(Choice B)
A city 6m above sea level is 5° C below zero

(Choice C)
A city 6m below sea level is 5° C above zero

(Choice D)
A city 6m Above sea level is 5° C above zero

Answers

The meaning of point A is (d) A city 6m Above sea level is 5° C above zero

How to determine the meaning of point A?

From the complete question, the point A is located as:

A = (5,6)

5 and 6 are positive numbers.

This means that A is located 6m above the sea level and 5° C above zero

Hence, the meaning of point A is (d) A city 6m Above sea level is 5° C above zero

Answers

Answer:

See below

Step-by-step explanation:

A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.

When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.

| x- ( - 18) | if x < - 18

Answers

Answer:

well x-(-18) x+18 but the if part is x<-18 will stay the same

Step-by-step explanation:

From her eye, which stands 1.69 meters above the ground, Sadie measures the angle
of elevation to the top of a prominent skyscraper to be 36º. If she is standing at a
horizontal distance of 275 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest hundredth of a meter if
necessary.

Answers

The height of the skyscraper is 201.5 meters, if the angle of elevation to the top of a prominent skyscraper to be 36º

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Angle of elevation = 36 degree

Horizontal distance of 275 meters from the base of the skyscraper

From the tan ratio:

tan36 = x/275

x = 275(tan36)

x = 199.79 meters

The height of the skyscraper = 199.79+ 1.69 = 201.48 ≈ 201.5 meters

Thus, the height of the skyscraper is 201.5 meters if the angle of elevation to the top of a prominent skyscraper to be 36º

Learn more about trigonometry here:

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Answer:I just got it wrong the answer is 201.49

Step-by-step explanation:

please answer question below asap!!

Answers

Answer:

175000

Step-by-step explanation:

If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.

Numbers are written on the back of calenders that are given out to customers at a grociery store. Each month a number is drawn for a customer to win a gift card. Is it a random sample or a sample and why

Answers

Answer:

yo whats your name i think that we are from the same class

Step-by-step explanation:

23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?

Answers

Answer:

15 lbs of onions.

Step-by-step explanation:

23 lbs divided by $46 = 0.5 lbs per $1

0.5 lbs times $30

15 lbs

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

[tex]x = 0.2[/tex]

Step-by-step explanation:

In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.

[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]

Therefore:

[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]

Since we were asked to round it to the nearest tenth, then the answer would be 0.2.

Answer:

x = 0.2

Step-by-step explanation:

Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3

To find value of x:

Solution: In angle DEF, angle E = 90°.

[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]

[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]

x = 0.3 × cos 41° = 0.226 ≈ 0.2

Hence x = 0.2

HOPE THIS HELPS AND HAVE A NICE DAY <3

S
4. In a bag there are letter squares that spell the word ATTITUDE. If you randomly pick two letters, what is
the P(not a vowel, and T) if the letters are not replaced.

Answers

Answer:

It depends if you pick a D or a T for P(not a vowel)

venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem

type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6

Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door

Answers

the answer is c
explanation

14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm

Answers

Answer:

Step-by-step explanation:

using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70

Find the area of a sector of a circle with a radius of 6 and angle of the sector is 40 degrees

Answers

Answer:

12.56 units²

Step-by-step explanation:

Area of sector :

πr² x θ/360π(6)² x 40/36036π x 1/93.14 x 412.56 units²

It is known that a certain function is an inverse proportion. find the formula for this
function if it is known that the function is equal to 12 when the independent variable
is equal to 2.
er:
if the independent variable is x, dependent variable is y, then y =

Answers

Answer:

y=24/x

Step-by-step explanation:

An inverse proportion with a positive input and output always has a "fraction format"

12=24/2

12=12

y=24/1

y=24

The y-value for x=1 was higher than the y-value for x=2, that proves that it's inverse.

f(x)=3x+2 and g(x)=x-3. Find f(x)-g(x)

a. 4x-1
b. 2x-1
c. 2x+5
d. 2x-5

Answers

Answer:

First step is to plug in the given values :

[tex] \longrightarrow \tt3x + 2 - ( x - 3)[/tex]

Remove the bracket and change the signs of those terms which are inside bracket since there is a negative sign.

[tex] \longrightarrow \tt \: 3x + 2 - x + 3[/tex]

Collect like terms

[tex] \longrightarrow \tt 3x - x + 2 + 3[/tex]

[tex] \longrightarrow \boxed{ \tt 2x + 5 }[/tex]

------------------- HappY LearninG <3 -------

It's consumer math. I need help asap. #1

Answers

Answer:

949$

Step-by-step explanation:

You get 460$ the first year, then 488 in the second.

NEED HELP ASAAAAP(WIll GIVE BRAINLIEST)
What is the formula of g in terms of f?
A.f(x+2)
B.f(x)-2
C.f(x)+2
D.f(x-2)

Answers

Answer:

Step-by-step explanation:

g(x) is f(x) shifted to the right by 2 units. Therefore, g(x) can be expressed as f(x-2).

Hope this helps!!!

Please mark me as brainliest!!!

P.S. I need one more brainliest to get Virturoso

Need help please answer ASAP!
(22-23)

Answers

Answer:

Question 22 is

[tex]x - 3[/tex]

Question 23 is

[tex]1.67 \times {10}^{ - 21} g[/tex]

In the equation x² + 10x + 24 = (x + a)(x+b), bis
an integer. Find algebraically all possible values of
b.

Answers

Answer:

The answer is 6...Hope this might help you

Which organism will survive best in a damaged ecosystem? (science)

any organism that does not eat the damaged part of the ecosystem

one that eats a wide variety of foods

one that eats primarily one type of food

one that has two main food sources

Answers

Answer:

Step-by-step explanation:

Discussion

Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.

That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.

5.369 rounded to the whole number?

Answers

Answer:

Step-by-step explanation:

Find the number in the whole number place

and look one place to the right for the rounding digit on the right side of the decimal point

.Round up if this number is greater than or equal to

and round down if it is less than

Find the value of x.

Answers

Answer:
10
I hope this helped!

Can someone please help me?

Answers

The center of the circle will be equal to (-3,4) equation of the circle x²+y²+6x-8y+16=4

What is circle?

The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the out trace.

The general form of the equation of the circle is:-

(x-x₁)²+(y-y₁)²=r²

here x1 and y1 are the center of the circle

Now we will convert our equation in the general form:-

x²+y²+6x-8y+16=4

x²+6xy²-8y+16-4=0

x²+3x+3x+9-9+y²-4y-4y+16-16-4=0

(x+3)²+(y-4)²-9-16+16-4=0 (x+3)²+(y-4)²=13

By comparing with the general form we can see that the coordinate of the center of the circle will be {-3,4)

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