Triangle ABC is a right triangle, and mC is 78°.


What is mA?
A. 2°
B. 12°
C. 22°
D. 32°

The interest rate Mr Frank must invest his money is at 10% per year compounded monthly

That is option 1.

The amount for Mr Frank's son school fees = R60 000.00

Cash at hand( principal amount) = R46 150.30

Therefore the simple interest needed to make up R60 000.00= R60 000.00 - R46 150.30= 14,849.70

Time of investment = 3 years

Therefore the rate = simple interest × 100/ principal×time

Rate (R) = 14,849.70 × 100/ 46 150.30× 3

= 1,484,970/135,450.9

= 10.0%

Therefore, the interest rate Mr Frank must invest his money is at 10% per year compounded monthly.

Learn more about simple interest here:

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Answer:

Given, the dimension of a rectangular block in from of cuboid is in the ratio 5:4:3. The volume of the block is equal to the volume of cube of length 28 cm. Let the length , breadth and height of the cuboid be 5x , 4x and 3x respectively. Therefore the length of the longest side of the cuboid is = (7.2×5)cm=36 cm.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

boxes= 2.5× 4.5× 6.2= 69.75

tray= 2.5× 9× 31= 697.5

697.5÷69.75= 10

Answer:

this question have the 552.792 and centimeters of square

Answer:

5/15

Step-by-step explanation:

15 students and 10 passed which means 5 failed

Answer:

The fraction is 1/3 or one-third.

Step-by-step explanation:

Have you smiled today? its very important:)

the fraction form of your question is 1/10

the decimal form is 0.1

hope i helped mwah

Answer:

Answer to part A:

1 notebook = $2.5

1 pen = $1.5

Answer to part B:

           = 3 pens.

Step-by-step explanation:

4n + 3p = $14.50

5n + 6p = $21.50

5(4n + 3p) = $14.50

4(5n + 6p) =$ 21.50

20n + 15p = $72.50

20n + 24p = $86

20n - 20n        = 0

15p - 24p         = -9p

$72.50 - $86   = -$13.5

-$13.5 ÷ -9 = $1.5p

4n + 3p = $14.50

4n + 3($1.5) = $14.50

4n + $4.5 = $14.50

4n = $14.50 -  $4.5

4n = $10.00

n = $2.5

1 notebook = $2.5

1 pen = $1.5

1 ($1.5) = 3($2.5)

$1.5 + $7.5 = $9.0

$27 ÷ 9 = $3

3 ( $1.5 + $7.5 ) = 3 ( $9.0 )

( $4.5 + $22.5 ) = ( $27 )

  $4.5 + $22.5 = $27

           = 3 pens.

Answer:

55

Step-by-step explanation:

[tex]f(x) = 6{x}^{2} - x - 2[/tex]

[tex]f( - 3) = 6 { (- 3)}^{2} - ( - 3) - 2[/tex]

[tex]f( - 3) = 6(9) + 3 - 2[/tex]

[tex]f( - 3) = 54 + 1 = 55[/tex]

[tex]f( - 3) = 55[/tex]

I hope it helped you

x>2 and x<4

since both are dashed that means they are both not including the x-values, so they are no equal signs with the greater or less than signs.

the shaded area is more than 2 but less than 4, not including 2 and 4 because they are dashed lines.

Answer:

26

Step-by-step explanation:

(5x3) + (8+3)

 15 + 11

    26

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

[tex]\sf{= 5x^3 \: + \: 19}[/tex]

[tex]\sf{5x^3 \: + \: 8 \: + \: 8 \: + 3}[/tex]

[tex]\sf{Add \: the \: numbers: \: 8 \: + \: 8 \: + \: 3 = 19}[/tex]

[tex]\sf{= 5x^3 \: + \: 19}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

hello the answer is B

Step-by-step explanation:

because 2+2+2+2+22+2+2+2+2++2+2+2+2++2++2+2+2+2++2+2+2+2++2+2+2+2+2+2+2+2+2+2++2=I don't know

Step-by-step explanation:

[tex]c = 2\pi \: r \\ 26.69 = 2\pi \: r \\ r = 26.69 \div 2(3.14) \\ r = 4.25 \: cm[/tex]

Answer:

4.25 cm

Step-by-step explanation:

Circumference of a circle = 2πr  (where r is the radius)

[tex]\implies 26.69=2 \pi r[/tex]

[tex]\implies r=\dfrac{26.69}{2\pi }[/tex]

[tex]\implies r=4.247845431...[/tex]

[tex]\implies r=4.25\:\textsf{cm (nearest hundredth})[/tex]

Using [tex]\pi=3.14[/tex]:

[tex]\implies r=\dfrac{26.69}{2 \cdot 3.14}=4.25\: \sf cm[/tex]

Using it's concept, it is found that there is a 85% probability that the moviegoer is not in the 65-74 age range.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, the total number of moviegoers is given by:

T = 1224 + 1220 + 940 + 830 + 730 = 4944.

Out of those, the number not in the 65-74 age range is:

D = 4944 - 730 = 4214.

Hence, the probability is given by:

p = 4214/4944 = 0.85 = 85%.

There is a 85% probability that the moviegoer is not in the 65-74 age range.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

22.4

Step-by-step explanation:

Let that number be " x ".

The difference between 32.6 and a number is 10.2

32.6 - x = 10.2

Add x on both sides,

32.6 - x + x = 10.2 + x

32.6 = 10.2 + x

10.2 + x = 32.6

Substract x on both sides,

10.2 - 10.2 + x = 32.6 - 10.2

x = 22.4

Therefore,

The number is 22.4

Answer:

22.4

Step-by-step explanation:

First we can make an equation to find the unknown number:

Difference mean subtraction:

32.6 - x = 10.2

To do this we can subtract 32.6 from both sides to isolate -x or to make -x the subject:

32.6-x-32.6 = 10.2 - 32.6

-x = -22.4

Now we can multiply both sides by -1 to make x positive:

-(-x) = -(-22.4)

x= 22.4

Answer:

28 cm

Step-by-step explanation:

Area = 46.75 =  l * (l-3)     shows l = 8.5 cm  (using Quadratic Formula)

    then w = 5.5  

perimeter = 2 * ( 8.5+5.5) = 28 cm

The perimeter of the given card is 28 cm.

Perimeter of an object is given by adding the side lengths of the object.

Given that, the width w of a credit card is 3 cm shorter than the length. The area is 46.75 cm².

We need to find the perimeter of the credit card,

Let the length be l,

Therefore,

Area = length x width

46.75 = l x (l-3)

46.75 = l² - 3l

l² - 3l - 46.75 = 0

Finding l, we get,

l = 8.5, l = -5.5

Since, length cannot be negative so, l = 8.5 cm

So, width = 8.5 - 3 = 5.5 cm

Perimeter = 2(l+w)

= 2(5.5+8.5) = 28 cm

Hence, the perimeter of the given card is 28 cm.

https://brainly.com/question/6465134

#SPJ2

Answer:

D

it is equivalent to the expression

Answer:

i'd say an estimate of 1/4

im just guessing im only good at middle school math

Step-by-step explanation:

Answer:

5) [tex]x=\sqrt{317}[/tex]

6) [tex]x = \sqrt{186}[/tex]

Step-by-step explanation:

You have to know Pythogeroem theorem, which is:

[tex]a^2 +b^2 = c^2[/tex],   where a, b are the sides of the triangle and c is the hypothesis (the side in front of the 90° angle)

5)

Plug in the numbers into the equation, make sure c is the hypothesis (the side in front of the 90° angle). Hypothesis is x in this example.

[tex]14^2+11^2 = x^2\\196 + 121 = x^2\\\sqrt{196 + 121} = x\\\sqrt{317} = x[/tex]

6) Hypothesis is [tex]\sqrt{226}[/tex]

 [tex]7^2 + x^2 = \sqrt{226}^2\\7^2 + x^2 = 226\\49 + x^2 = 226\\x^2 = 186\\x= \sqrt{186}\\[/tex]

Same steps for 7) and 8)

Look at the screenshot.

Answer:

6x+5

Explanation

because -7y would be negative

Multiplication is the outcome of the product of two numbers. The total amount of money Kelsi spends on breakfast for 14 Saturdays is $94.5.

A product is the outcome of multiplication or an expression that indicates the elements that will be multiplied.

Given that Kelsi spent $6.75 every Saturday for breakfast. Therefore, the total amount that will be spent on 14 Saturdays breakfast will be,

[tex]\rm Total\ Amount = \$6.75 \times 14 = \$94.5[/tex]

Hence, the total amount of money Kelsi spends on breakfast for 14 Saturdays is $94.5.

Learn more about Multiplication:

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Answer:

$94.50

Step-by-step explanation:

i did the test and aced it

Answer:

The Answer is 108, simply you find the volume of the cube 6 x 6 x 6 = 216. Since there are 108  "1-inch" cubes that fill the big cube half way you divide the volume of the big cube 216 by 2, so 216/2 which 108 will be your answer because, if you have a big cubed box that measures 6 inches in width, height, and length and you have 216 "1-inch" cubes, then you fill the box halfway, you will be left over with 108 "1-inch" cubes. You can also think about this with a cup of water, if you pour 3 cups of water into a glass and you drink half of that glass you will have half a cup of water or 1.5 cups of water left, if you drink 1/3 of the glass you will have 2 cups left. Hope I helped and Brainliest would be appreciated

Step-by-step explanation:

:)

Answer:

108

Step-by-step explanation:

hopefully it helps :)

Answer:

My brains wires got crossed just reading this.

（；´д｀）ゞ

So give me a second while I try to wire them back.

...

...

Ok so,

Here's a little scale

0 1 2 3 4 5 6 7 8 9

^ ^ ^

Here is 0 Here is 5 And here is 9

So,

You say 9 is farther from 9 than 5. How if 9 is at 9? (っ °Д °;)っ

Can't help you there m an.

¯\_(ツ)_/¯

Then you say 5 is farther from 0 than 9.

Its actually closer to 0 than 9 is from 0. Like literally count backward and you can see you have to count less from 5 to 0 than you would for 9 to 0.

Im not sure dude.

Im a little confused now.

What were you even asking for in the first place?

｢(ﾟﾍﾟ)

By comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

Ratio simply compares values, it shows how much of one thing is related or compared to another thing.

Given the data in the question;

To determine the weight of Ellie, we simply say;

0.75pounds : 0.9pounds = 6.4pounds : X

0.75pounds / 0.9pounds = 6.4pounds / X

Cross multiply

0.75pounds × X = 0.9pounds × 6.4pounds

0.75pounds × X = 5.76pounds²

X = 5.76pounds² / 0.75pounds

X = 7.68pounds

X = 7.7pounds

Therefore, by comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

Learn more about ratio here: https://brainly.com/question/13419413

Answer:

1 / 0.9

2/ 0.12

3/ 0.2

4/ 0.07

5/ 0.8

6/ 0.72

7/ 0.47

8/ 0.6

9/ 0.02

10/ 0.96

Step-by-step explanation:

Answer:

1. 9/10

2. 12/100 - 3/25  

3. 2/10 - 1/5

4. 7/100

5. 8/10 - 4/5

6. 72/100 - 18/25

7. 47/100

8. 6/10 - 3/5

9. 2/100 - 1/50

10. 96/100 - 24/25

I simplified some of them.

Hope this helped and Brainliest please