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kipiarov [429]
3 years ago
12

Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week. How much did Joseph earn his first two we

eks?
Mathematics
1 answer:
djyliett [7]3 years ago
7 0
He earned 115 dollars
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How to do question 22?
Aleks04 [339]

Answer:

A = 20sinθ(6 + 5 cosθ)  cm²

Step-by-step explanation:

Drop perpendiculars DE and CF to AB.

Then, we have congruent triangles ADE and BCF, plus the rectangle CDEF.

The formula for the area of the trapezium is

A = ½(a + b)h

DE = 10sinθ

AE = 10cosθ

BF = 10cosθ

EF = CD = 12 cm

AB = AE + EF  + BF = 10cosθ + 12 + 10 cosθ = 12 + 20cosθ

A = ½(a + b)h

   = ½(12 +12 + 20 cosθ) × 10 sinθ

   =(24 + 20 cosθ) × 5 sinθ

   = 4(6 + 5cosθ) × 5sinθ

   = 20sinθ(6 + 5 cosθ)  cm²

6 0
3 years ago
I need help with my math
Nat2105 [25]

Answer:

Part A. C=9

Part B. (w+3)² =139

Part C. w = 8.8 inch

Step-by-step explanation:

Given from the question length of the the picture = (2w+12) inches

Width of the picture = w inches

Area of the picture = 260 inch²

Part A. Area of the picture with the given dimensions= w×(2w+12)

Or w(2w+12) = 260

2w²+12w = 260

2(w²+6w) = 2×(130)

w²+6w = 130

Or w²+6w +9 = 130+9 ⇒ which is in the form of w²+6w+c = 130+c

Therefore for c = 9 we will get a perfect square trinomial.

Part B. As we have seen the equation in part A.

As required equation will be (w+3)²=139

Part C. Since (w+3)² = 139

Then by taking under root on both the sides of the equation

(w+3) =√139 = 11.8

(w+3)-3=11.8-3

w = 8.8 inch

3 0
3 years ago
Solve equations by using elimination <br> -4+5y= 13<br> X-5y=21<br> ( , )
tigry1 [53]

Answer:

y=17/5 ,x= 38

Step-by-step explanation:

-4+5y =13 add 4 both side

4-4+5y=13+4

5y=17

5y/5=17/5 y=17/5

x-5y=21

x-5(17/5)=21

x-17=21

x=21+17= 38

5 0
3 years ago
Kayla paints a bookcase she uses 1 5/6 cups of paint on the outside of the bookcase and 3/8 cup of paint on the inside. How many
olchik [2.2K]

Answer: Kayla used 2 5/24 cups of paint all together.

Step-by-step explanation:

Kayla paints a bookcase by using

1 5/6 cups of paint on the outside of the bookcase. Converting 1 5/6 cups to improper fraction, it becomes 11/6 cups of paint.

She also used 3/8 cup of paint on the inside.

Therefore, the total number of cups of paint that Kayla used all together would be

11/6 + 3/8 = (44 + 9)/24 = 53/24 cups of paint. Converting to mixed fraction, it becomes

2 5/24 cups of paint

3 0
3 years ago
2) Calculate the surface<br> area of the cylinder:<br> 5 cm
AVprozaik [17]

Answer:

28π cm²

Step-by-step explanation:

The surface of a cylinder is given by the formula:

  • 2πrh + 2πr²

where r is the radius of the base, and h is the height.

Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.

Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.

Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:

2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π

Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).

The surface area of the cylinder would be 28π cm².

28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.

I hope you find this helpful. :)

5 0
3 years ago
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