Question 3
1 p
The perimeter of the triangle below is 27 cm. Find the measure of the shortest and the
longest sides.
X
2x
3x – 3

Answer:

Step-by-step explanation:

Sum of interior adjacent angle is 180 degrees.

Given  

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55

18

RS = BC

19

angle A = angle Q

20

                                       real              blueprint

we know                           45                     9                       width

we're looking for              70                     n

45 x n = 70x 9

n = 630 : 45 = 14

=> 14 in

#18

Just observe the naming you can answer without seeing the diagram even

∆ABC~∆QRS

Option D.

#19

Option B

#20

Let that be x

[tex]\\ \tt\hookrightarrow \dfrac{45}{70}=\dfrac{9}{x}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{9}{14}=\dfrac{9}{x}[/tex]

[tex]\\ \tt\hookrightarrow x=14in[/tex]

Option D

Answer:

I think the answer would be C. or A.

Step-by-step explanation:

Answer:

$1920

Step-by-step explanation:

12800 X 0.15 = 1920

Answer:

A and C

Step-by-step explanation:

Lawson: 5x3=15

Rhett: 4x4=16

Wynn: 5x3=15

Answer:

45

Step-by-step explanation:

To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45

Answer: 39F = 3.9C rounded to the nearest tenth of a degree

Step-by-step explanation:

Answer:

36.8%

Step-by-step explanation:

formula to find percent increase: (|old-new|)/old *100

|95-130|/95 *100

36.8%

Answer:

1/6

Step-by-step explanation:

-4/9 * (-3/8) =

= 12/72

= 1/6

Answer:

Step-by-step explanation:

-4/9 x -3/8 = (-4)(-3) / 8x9 = 12 / 72 = 6/36 = 1/6

Answer:

Hope this helps!

Answer:

hello

7 + 4 = 11

arun = 66 x 7/11 = 42

vikasin = 66 x 4/11 = 24

Step-by-step explanation:

Answer:

The answer is 13.57m^2

Step-by-step explanation:

On Edmentum I got it right.

Answer:

a = 1875

Step-by-step explanation:

Sum of geometric series formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Geometric series formula:

[tex]a_n=ar^{n-1}[/tex]

Given:

[tex]\implies 120=a(0.4)^{n-1}[/tex]

[tex]\implies a=\dfrac{120}{(0.4)^{n-1}}[/tex]

[tex]\implies 3045=\dfrac{a(1-0.4^n)}{1-0.4}[/tex]

[tex]\implies 3045=\dfrac{a(1-0.4^n)}{0.6}[/tex]

[tex]\implies 1827=a(1-0.4^n)[/tex]

[tex]\implies a=\dfrac{1827}{1-0.4^n}[/tex]

Equate equations for a:

[tex]\implies \dfrac{120}{(0.4)^{n-1}}=\dfrac{1827}{1-0.4^n}[/tex]

Apply exponent rule [tex]a^{b-c}=\dfrac{a^b}{a^c}[/tex]

[tex]\implies \dfrac{120}{\frac{0.4^n}{0.4^1}}=\dfrac{1827}{1-0.4^n}[/tex]

[tex]\implies \dfrac{48}{0.4^n}=\dfrac{1827}{1-0.4^n}[/tex]

[tex]\implies 48(1-0.4^n)=1827(0.4^n)[/tex]

[tex]\implies 48-48(0.4^n)=1827(0.4^n)[/tex]

[tex]\implies 48=1875(0.4^n)[/tex]

[tex]\implies 0.4^n=\dfrac{48}{1875}[/tex]

[tex]\implies 0.4^n=0.0256[/tex]

Taking natural logs:

[tex]\implies \ln0.4^n=\ln0.0256[/tex]

[tex]\implies n\ln0.4=\ln0.0256[/tex]

[tex]\implies n=\dfrac{\ln0.0256}{\ln0.4}[/tex]

[tex]\implies n=4[/tex]

Substituting found value for n into one of the equations and solving for a:

[tex]\implies a=\dfrac{120}{(0.4)^{4-1}}[/tex]

[tex]\implies a=\dfrac{120}{0.4^3}[/tex]

[tex]\implies a=\dfrac{120}{0.064}[/tex]

[tex]\implies a=1875[/tex]

Answer:

$5304.5

Step-by-step explanation:

5000 x 1.03²  

1.03=3%

x² =2 years

Answer:

A

Step-by-step explanation:

tank 2 goes down by a constant difference : -40

Step-by-step explanation:

350 decreasing at 3% per year

the function is

y = mx + c

m is the gradiant (change)

c is the y-intercept (when x = 0)

first m

it is decreasing by 3 %

3% as a decimal = 0.03

m = -0.03

c is

at the start

we start with 350

c = 350

put back into the equation

y = ?x + ?

put answer in comments i will mark

please mark brainest

Answer:

2.3

Step-by-step explanation:

Answer:$12 + $15h = $72

H=4 Scott rented the bike for 4 hours.

Step-by-step explanation:

Subtract 12 from each side. You then have $15h = $60 now you divide each side by 15 to get 4

Answer:

The solve for h= is 4 hours

The equation is 12+ 15=27

He rented the bike for 4 hours.

Answer:

should be 4x+5*(-3)^x

Step-by-step explanation:

Multiplying two neg equals a positive

any expression multiplied by 1 stays the same

use commutative property to reorder the terms

Answer:

-60

Step-by-step explanation:

Yeah, of course!.

Step one: Breaking the problem into different problems is probably the best!

Step two: 4× (-1) is simple multiplication, any number multiplied by 1 is always the number. 4 multiplied by 1 is always 4, but there is a negative sign in front of the 1, so that means we have to go into the positive an negative rules, final answer is 4 for that step.

Then were going to ignore the multiplication sign for now.

Step three: (-3) times (-5) is 15 but we have to look at the rules of positives and negatives, a negative plus a negative is a positive. So its 15.

Step four: Multiply the two answers (4 times 15) is 60. Now were going to add our negative sign because a positive plus a positive number is a negative.

Hope this helped! :)

Answer:

[tex](\frac{390625}{256 } )[/tex]

Step-by-step explanation:

The exponent decides how much times does the base needs to multiply itself. In the given expression, the exponent is 4. Thus, 6 1/4 needs to multiply itself 4 times.

Convert 6 1\4 into improper fraction

Thus, the simplified fraction is [tex](\frac{390625}{256 } )[/tex].

Answer:

..........

Step-by-step explanation:

The expression which is equivalent to (2³)^-5 is; 1/(2)^15.

By the law of indices, it follows that exponents as that given in the task content can be evaluated as follows;

(2³)^-5

= (2) ^(3×-5)

= 2 ^(-15)

Hence, the expression can be rewritten as; 1/(2)^15.

Read more on indices;

https://brainly.com/question/8952483

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Answer:

a

Step-by-step explanation:

i did the test

The level from each growth factors is an illustration of combination

There are 90 ways of combining one level from each growth factors

From the complete question (see attachment), we have the number of levels in each growth factor is:

So, the number of combination (n) is:

n = 3 * 5 * 2 * 3

n = 90

Hence, there are 90 ways of combining one level from each growth factors

Read more about combination at:

https://brainly.com/question/11732255

After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

Given is to find how dilation affect the side lengths and angle measures of a figure

Assume that the initial length of the figure

After the dilation, the coordinates will become -

(x, y) → (Kx, Ky)

Where {K} is the scale factor by which the image is dilated.

The angles after the dilation remain same.

Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

To solve more questions on dilation, visit the link below -

brainly.com/question/2859427

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Answer:

The money in an account that earns 4.4% interest per year = 22500

The rest into an account that earns 6% interest per year = 13500

Step-by-step explanation:

Interest = Principal × Rate × Time

Let x = money saved in account A

Let y = money saved in account B

Brandon has 36000 to invest and wants to earn 5% interest per year

x + y = 36000..... Equation 1

x = 36000 - y

He will put some of the money into an account that earns 4.4% interest per year and the rest into an account that earns 6% interest per year.

Hence:

4.4% × x × 1 + 6% × y × 1 = 36000 × 5% × 1

0.044x + 0.06y= 1800....... Equation 2

Substitute 36000-y for x in Equation 2

0.044(36000 - y) + 0.06y = 1800

1584 -0.044y + 0.06y = 1800

-0.044y + 0.06y = 1800 - 1584

0.016y = 216

y = 216/0.016

y = 13500

Note that:

x = 36000 - y

x = 36000 - 13500

x = 2250

Therefore,

The money in an account that earns 4.4% interest per year = 22500

The rest into an account that earns 6% interest per year = 13500

Answer:

1200

Step-by-step explanation:

4 x 8,99 x 1,07 = £38,48