The Perimeter of the scalene triangle is 54.6cm

Which equation can be
used to find the value of b if side a measures 8.7 cm?

a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6

Answer:

The area of the rectangle is 420 square inches

Step-by-step explanation:

By adding the diagonals, we have a total of

18.5 * 2 = 37 inches

We can apply Pythagoras’ theorem to get the other side of the triangle

It states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the other side measure x inches

Thus;

37^2 = 12^2 + x^2

x^2 = 37^2 - 12^2

x^2 = 1225

x = √1225

x = 35 inches

So the area of the triangle would be;

35 * 12 = 420 square inches

Answer:

420

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

17 miles

Step-by-step explanation:

If Heidi starts out by traveling 15 miles south, then y = -15 miles

If she then turns and rides 8 miles east, then x = +8miles

The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;

d = √(-15)²+8²

d = √225+64

d = √289

d = 17miles

Hence her distance from her starting position to her tent is 17 miles

Answer:

 4,3

Step-by-step explanation:

Answer:

a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Step-by-step explanation:

Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?

Answer:

59

Step-by-step explanation:

1) so you start with the mean being 72x5=360

2)100+42+87+66=295

3) 360-295=65

(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help

Answer:

-2/x

Step-by-step explanation:

simplified is y = -x/2 - 6

Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.

Example if slope= -2, the reciprocal= -1/2

Just flip the numerator with the denominator for perpendicular slope

Answer:

-8/13

Step-by-step explanation:

The slope of (-6,5) and (7,-3) is -8/13.

Answer: pretty sure it’s -8

Step-by-step explanation:

I used the slope formula which is:

m= y2-y1/x2-x1

m= -3-5/7-6

m= -8/1

m= -8

The total number of popcorn boxes is given by the equation

A = 250 boxes

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of boxes of popcorn be A

Now , the equation will be

Let the cost of one fruit bar = $ 0.30

Let the cost of one popcorn box = $ 0.60

The amount to be raised = $ 300

The number of fruit bars sold = 500

So , the cost of 500 fruit bars = 500 x cost of one fruit bar

Substituting the values in the equation , we get

The cost of 500 fruit bars = 500 x 0.30

The cost of 500 fruit bars = $ 150

Now , the remaining amount to be raised = 300 - 150

The remaining amount to be raised = $ 150

The number of boxes of popcorn A = remaining amount to be raised / cost of one popcorn box

Substituting the values in the equation , we get

The number of boxes of popcorn A = 150 / 0.60

The number of boxes of popcorn A = 250 boxes

Therefore , the value of A is 250 boxes

Hence , the number of boxes is 250

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Answer:

he's 20 now

Step-by-step explanation:

add 12 and 8

The present age of Marcus will be 8 years now.

The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.

Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.

Marcus was 12 years old eight years ago. Marcus' age as of right now will be determined as follows:

x - 8 = 12

x = 12 + 8

x = 20 years

Therefore, the present age of Marcus will be 8 years now.

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Answer:

37) the answer to that is 89 - 66= 23 add the angles frm 40 degree half which is

20+46= 66 and the other angle is not 90 but 89 so minus one frm 90 which is 89- 6= 23 degree

38)

Answer:

It is C

Step-by-step explanation:

Answer:

$329.18

Step-by-step explanation:

315 + 14.18 = $329.18

Answer:

36 ft

Step-by-step explanation:

Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?

Hence, this is calculated as:

5ft/15ft = 12 ft/Daniela's height

Cross Multiply

5ft × Daniela's height = 15ft × 12ft

Daniela's height = 15ft × 12 ft/5ft

= 36ft

Therefore, Daniela's height = 36 ft

Answer:

Step-by-step explanation:

Since [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are on one side of a line, their sum is [tex]180^{\circ}[/tex], meaning they are supplementary. This also defines them as a linear pair and both angles are adjacent to one another. None of the other answer choices are implied in the figure, thus:

Answer:

18 albums

Step-by-step explanation:

2x+3x=45

5x=45

x=9

country=2(9) = 18 album

Answer:

1 3/8

Step-by-step explanation:

5/8+3×2/4×2

5/8+6/8

5+6/8

11/8

1 3/8

______________________________

 - We do this because in order to add the fractions together, they have to have the same denominator. In this case you find the LCF, (Least Common Factor) of 8 and that turns into the denominator for both.

 - [tex]\frac{5}{8}[/tex] stays the same, but [tex]\frac{3}{4}[/tex] changes to [tex]\frac{6}{8}[/tex] because the LCF if 8, and to get to 8 we had to multiply 4 by 2. So since we multiplied the denominator, you must do the same to the numerator, hence why we went from 3 to 6.

 - Since [tex]\frac{5}{8}[/tex] and [tex]\frac{6}{8}[/tex] have the same denominator, all you have to do is add the numerator.

______________________________

Answer: B

Step-by-step explanation:

If the other one is 48 then this one must be 42 i think

Answer:

A=21

Step-by-step explanation:

4 decilitres= 0.4 litres

8.4/0.4=21

Answer:

*2.5

Step-by-step explanation:

15*2.5=37.5

7*2.5=17.5

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

the answer is b 10<m<14 your welcome have a great day hope this helps

Answer:

The answer is A . 4<m<24

Step-by-step explanation:

m+10>14

m>4

14+10>m

m<24

Answer: £611.23

Step-by-step explanation:

The tv is depreciating at a rate of 2% per year. At this rate, the value after 6 years can be acquired using the future value formula:

= Current price * (1 + growth rate) ^ no. of years

Growth rate is negative because it is depreciating:

= 690 * (1 - 2%)⁶

= ‭611.23124279616‬

= £611.23

Answer:

Your answer will be A have a good day :)

Step-by-step explanation:

A - 1 = 1 and B is 1