Mathematics High School

## Answers

**Answer 1**

**Answer:**

n=14

**Step-by-step explanation:**

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

## Related Questions

Circle A and Circle B have radii of 8 cm and 5 cm. BC and BD are tangent to Circle A. Find CF

### Answers

[tex]\bold{ANSWER:}[/tex]

CF = 5.24

[tex]\bold{EXPLANATIONS:}[/tex]

Banana chips sell for 44¢ per 100 g.

How much would 450 g of banana chips cost?

### Answers

**Answer:**

198 cents or

1.98 dollars

**Step-by-step explanation:**

A newly formed life insurance company has underwritten term policies on 120 women between the ages of forty and forty-four. Suppose that each woman has a 1/150 probability of dying during the next calendar year, and that each death requires the company to pay out $50,000 in benefits. Approximate the probability that the company will have to pay at least $150,000 in benefits next year

### Answers

The **probability **that the company will have to pay at least** $150,000** in benefits next year is **0.047 **if the there are **120 women**.

What is probability?

It is defined as the **ratio **of the **number **of **favorable outcomes** to the total **number **of **outcomes**, in other words the **probability **is the **number **that shows the **happening **of the **event**.

The **probability** of dying:

P(dying) = 1/150

P(living) = 1 - P(dying) = 1 - 1/150 = 140/150

**There are 120 women.**

P(x≥3) = 1 - [P(x=0) +P(x=1) + P(x=2)]

[tex]\rm P(x\geq 3)=1-[(120 \ choose \ 0)(1/150)^0)((149/150)^{120})+[/tex]

[tex]\rm (120 \ choose \ 1) ((1/150)^1) ((149/150)^{119}) +[/tex]

[tex]\rm (120 \ choose \ 2)((1/150)^2)((149/150)^{118})][/tex]

**P(x≥3) = 0.047**

Thus, the **probability **that the company will have to pay at least** $150,000** in benefits next year is **0.047 **if the there are **120 women**.

Learn more about the **probability **here:

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Missing angle - circle theorem / PLEASE HELP

### Answers

**Answer:**

B

**Step-by-step explanation:**

angles on the circumference of a circle subtended on the same arc are congruent , then

x = 52°

**Answer:**

D. 20°

**Step-by-step explanation:**

just do an elimination, since 52° is big then X it obviously can't be 96°. And that leaves us with 32° and 20°. As you can see 32° is bigger than X then it's 20° ♡

Which of the following is true regarding the solution to the logarithmic equation below? log subscript 2 baseline (x 11) = 4. x 11 = 2 superscript 4. x 11 = 16. x = 5.

### Answers

The **value of x is 5.** Thus, the correct statement is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

Data obtained from the question Log₂ (x + 11) = 4**Value of x =? **How to determine the value of x

Log₂ (x + 11) = 4

x + 11 = 2⁴

x + 11 = 16

Collect like terms

x = 16 – 11

**x = 5**

**Check**

Log₂ (x + 11) = 4

x = 5

Log₂ (5 + 11) = 4

Log₂ 16 = 4

Find the **value of Log₂ 16 **

Log₂ 16 = n

16 = 2ⁿ

2⁴ = 2ⁿ

n = 4

Thus,

**Log₂ 16 = 4**

Therefore, the **correct answer **to the question is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

**Complete question **

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2

Learn more about **Logarithm equation:**

https://brainly.com/question/7302008

**Answer:**

C, x = 5 is a true solution because log Subscript 2 Baseline (16) = 4

**Step-by-step explanation:**

edge

25 points!

7 and 8 Find the measurement of the missing interior angle

### Answers

**Answer:**

7. x = 88

8. x = 59

**Step-by-step explanation:**

You're probably trying to equal 180° because that's what the triangle should equal so

7. 48° + (88° - 44°) + 88° = 180°

8. 73° + (59° - 11°) + 59° = 180°

I hope this is right :,)

For #7:

X=8

For #8:

X=59

simplify each of the following fractions :

25

__

30

### Answers

**Answer:**

25 / 30 = 5 / 6

**Step-by-step explanation:**

**Answer:**

5/6

**Step-by-step explanation:**

A right triangle has one side that is 6 inches

long, and a height of 12 inches. What is the

perimeter of the triangle?

### Answers

**Answer:**

31.4 inches

**Step-by-step explanation:**

36+144 = 180

sqrt(180) = 13.41

6 + 12 + 13.4

Jordan's older brother rode his bike 78 miles in the past 6 days. He rode an equal number of miles each day. Today he rode his bike 2 miles further than he rode on each of the other days.

How many miles did Jordan's brother ride his bike today? Someone please help i need this asap <3 tysm

### Answers

**Answer:**

He rode 15 on his bike today.

**Step-by-step explanation:**

**78 / 6 = 13 and 13 + 2 = 15**

Answer:

Step-by-step explanation:

what is 90 by 25% decreased

### Answers

**Answer:**

- 22.5

**Step-by-step explanation:**

Answer:

90 decreased by 25% = 67.5

Absolute change (actual difference):

67.5 - 90 = - 22.5

**Answer: 67.5**

**Step-by-step explanation:**

Tim uses a food delivery service to order dinner for himself and a friend. He paid $37.05 for dinner, which included the cost of the food and a delivery fee of 14% of the cost of the food. What was the cost of their dinner before the delivery fee?

Please explain!

### Answers

**Answer:**

$31.86

**Step-by-step explanation:**

You can use a proportion here.

37.05 = 100%

x = 86% (100%-14% which is a delivery fee)

x = (37.05*86)/100

x = 3186.3/100

x = 31.86

The cost of their dinner before the delivery fee was $31.86.

I hope that I helped :)

Arnold has recorded the number of chirps per minute ( x) that crickets make

at different temperatures (y).

He has determined that the association is linear and that the line of best fit is y= 1/4x + 50.

What is the interpretation of the slope and y-intercept of this equation?

### Answers

**Answer:**

**A)**

**Step-by-step explanation:**

The slope predicts a temperature increase of about [tex]\frac{1}{4}[/tex]º for every increase of 1 chirp per minute. The *y*-intercepct shows that when the crickets are not chirping (x = 0), the temperature is 50º

A notebook costs £1.60, a pen costs 37p, a pencil costs 21p and a sharpener costs 86p.

Remi buys 3 pencils, 2 pens, 3 sharpeners and some notebooks.

He pays with £8 and receives 85p change.

How many notebooks did he buy?

notebooks

### Answers

£1.60 each notebooks

3 pencils times 21p= 63p

2pens times 37p=74p

3sharpeners times 86p=258p

63p+74p+258p=£3.95

£8-3.95=£4.05

£4.05-£1.60= £2.45

£2.45-£1.60=85p

So… he bought 2 notebooks

**Answer:**

2

**Step-by-step explanation:**

£1 = 100p

3*21p+2*37p+3*86p+x*160p (x is the number of notebooks)

63p+74p+258p+x*160p = 395p+x*160p

He paid £8 so he paid 800p

800p-395p = 405p

405p-85p = 320p

320p:160p = 2

He bought 2 notebooks

a rectangle with a length of 28 and perimeter of 64 what is the width and what is the area

### Answers

A rectangle has 2 pairs of equal sides.

(28)(2)+ (2x) = 64

56 + 2x = 64

2x = 64 - 56

2x = 8

x = 4 [width]

Area = (lenght)(width) = (28)(4) = 112

The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $65,000 10-year term policy for a 20-year-old female. Round your answer to the nearest cent

### Answers

Answer:

273.00

Step-by-step explanation:

On average, Margo scores a goal for her field hockey team every 2 out of 3 shots. Margo uses a number cube to simulate her next three shots. She assigns 1 to 4 as goals and 5 and 6 as missed shots. Why does this assignment of numbers on the number cube make it a valid simulation?

### Answers

**Answer:**

Margo makes 2/3 shots and making 4 shots and missing 2 shots equals 6 so 4/6 reduces to 2/3.

**Step-by-step explanation:**

4/6 = 2/3

The water flow rate of a regular shower head is 3. 5 gallons per minute. At this rate it would cost $1. 90 for the water used for a 10 minute shower

### Answers

Using **proportions**, it is found that the **cost of 1 gallon** of water, rounded to the nearest cent, is of **$0.05.**

What is a proportion?

A proportion is a **fraction **of a total amount, and the measures are related using a **rule of three**.

In this problem, we have that he uses 3.5 x 10 = **35 gallons** for a 10 minute shower, which **costs $1.9**. Hence the **cost of a gallon** is of:

$1.9/35 = **$0.05.**

More can be learned about **proportions **at https://brainly.com/question/24372153

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If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the

perimeter of the rectangle is 80 centimeters

### Answers

**Answer:**

Length=22cm Width=18cm

**Step-by-step explanation:**

1. 2 x 22 = 44

2. 2 x 18 = 36

3. 44 + 36 = 80

4. Perimeter = 80cm

Evaluate the lender's good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was higher than 0.5% of the actual closing costs.

### Answers

The **lender's** good faith estimate is D. the lender made a **poor estimate**; it was higher than 0.5% of the actual closing costs.

Who is a lender?

It should be noted that a **lender** simply means an individual or an **organization** that lends people money.

In this case, the lender's good faith **estimate** is that the lender made a poor estimate; it was higher than 0.5% of the actual **closing costs.**

Learn more about **lender** on:

https://brainly.com/question/25882989

**Answer:**

It's

**A: **The lender made a very good estimate; it was within 0.25% of the actual closing costs.

**Step-by-step explanation:**

Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.

-4, 12, -36, 108, -324, …

My answer below?

12, - 4 = 8

4 -12= -8 (neither)

### Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the ratio between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in GP} [/tex]

[tex] \sf{ \dfrac{12}{-4} = -3} [/tex]

[tex] \sf{ \dfrac{-36}{12} = -3} [/tex]

[tex] \textsf{Since the common ratio is same, } [/tex] [tex] \textsf{we can infer that it's a geometric progression} [/tex] [tex] \textsf{with common ratio of -3} [/tex]

**Answer:**

okay

**Step-by-step explanation:**

[tex]for arithmetic \: progression \: there \: must \: be \: a \: common \: difference \\ \\ to \: get \: common \: difference \: {d} \: \\ get \: the \: the \: term \: infront \: minus \: the \: term \: before \\ say \: d = 12 - ( - 4) = 16 \\ d = - 36 - 12 = - 48 \\ d = 108 - ( - 36) = 144 \\ since \: d \: isnt \: uniform \: this \: is \: not \: arithmetic \: progression \\ \\ for \: geometric \: progression \: there \: must \: be \: a \: common \: ratio \: {r} \\ r \: is \: got \: by \: dividing \: the \: term \: infront \: by \: the \: term \: behind \\ \\ say \: r = 12 \div ( - 4) = - 3 \\ r = ( - 36) \div 12 = - 3 \\ r = 108 \div ( - 36) = - 3 \\ since \: r \: is \: the \: same \: this \: is \: a \: geometric \: serie[/tex]

Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.

### Answers

**Answer: √58**

**Step-by-step explanation:**

[tex]\begin{aligned}&\left(x_{1}, y_{1}\right)=(-2,-3) \\&\left(x_{2}, y_{2}\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\sqrt{(4+3)^{2}+(1+2)^{2}} \\&d=\sqrt{7^{2}+3^{2}} \\&d=\sqrt{49+9} \\&\bold{d=\sqrt{58}}\end{aligned}[/tex]

**Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58**

The base of a triangle is 3 times its height the area of the triangle is 108 square inches what is the base? The height?

### Answers

**Answer:**

**324**

**Step-by-step explanation:**

**I think that 3x108 is 324 so I think the height is 324 and the base is 108.**

**Answer:**

Base: 18cm

height: 12 cm

**Step-by-step explanation:**

Let the ratio be x

base = 3x height = 2x

area of triangle = 108

⇒ 21 ×2x×3x=108

⇒3x 2 =108

⇒x 2 =36

x=6

Base=3x=3×6=18cm

height=2x=2×6=12cm.

PLS answer and explain

Write the expression for the cubic function

### Answers

**Answer:**

F(x) = ax3 + bx2 + cx1 + d.

**Step-by-step explanation:**

A, b, and c are the coefficients and d is the constant.

Jonas needs to find the missing height of a box that has a length of 6 in, a width of 3 in, and a volume of 36 in3. Jonas needs your help in finding the missing height. What should he do?

pls help

### Answers

So, the equation would be 6*3x=36

First, divide by 6 on both sides!

Then you get 3x=6

Divide by 3 to isolate x, and you get x=2

X represents the missing side, so the missing side equals two!

To check your answer, plug 2 back in for x! 6*3*2=36

6*6=36

36=36

So that means your answer is right!

I hope this helps!

Factorise 4x^2-y^2 please help

### Answers

**Answer:**

**(2x + y)(2x - y)**

**Step-by-step explanation:**

1. Simplify the square 4x²:

(2x)² - y²

2. Apple the difference of two squares formula *x² - y² = (x + y)(x - y)*:

**(2x + y)(2x - y)**

hope this helps!

The table displays the scores of students on a recent exam. Find the mean of the

scores to the nearest 10th.

Score Number of Students

75

5

80

7

85

7

90

6

95

4

### Answers

**Answer:**

84.5

**Step-by-step explanation:**

multiply score by number of students, add them, divide by total students.

3x + 14 / 8 = -5

And also need to do the check ♀️

### Answers

-9/4 or -2 1/4

Hope this helps

What trigonometric ratio is 6/10?

### Answers

**Answer:**

tanC

**Step-by-step explanation:**

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6}{10}[/tex]

G is the set of odd natural numbers that are less than or equal to 11

### Answers

**Answer:**

**G = {1, 3, 5, 7, 9, 11}.**

**Step-by-step explanation:**

All natural numbers less than or equal to 11

are 1 2 3 4 5 6 7 8 9 10 11

We pick out the odd numbers from this list.

Harry gave 13% of his 3400 pay check to kane. How much money did kane receive

### Answers

**Answer:**

in photo

**Step-by-step explanation:**

ur welcome fellow human

kane received 442

0.13 x 442