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Anuta_ua [19.1K]
3 years ago
14

Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number

of watermelons loretta grew this year?
Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

Answer:

54+\frac{5}{9}\times 54

Step-by-step explanation:

We are given that

Loretta grew  watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the  number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54=\frac{5}{9}\times 54

Therefore, the expression which shows the  number of watermelons Loretta grew this year

=54+\frac{5}{9}\times 54

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Cross section is the area you make when you make a cut across a shape. In this case, the cut must be parallel to the base. Hence, the cut shape would be same to that of the base. The base's dimensions are 7 cm long x 5 cm wide. Thus, the cross section area is 35 square centimeters.
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3 years ago
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Find an equation of the sphere with center (4, −12, 8) and radius 10.
Lorico [155]

Answer:

Step-by-step explanation:

To find an equation of the sphere with center (4, −12, 8) and radius 10

(x-4)^2+(y+12)^2+(z-8)^2 = 100

intersection with xy-plane

Put z=0

(x-4)^2+(y+12)^2+(0-8)^2 = 100

(x-4)^2+(y+12)^2 = 36

(A circle with centre at (4,-12) and radius 6)

intersection with xz-plane

Put y =0

(x-4)^2+(0+12)^2+(z-8)^2 = 100

(x-4)^2+(z-8)^2 = -44

Sum of squares cannot be positive, so DNE

intersection with yz-plane

Put x=0

(0-4)^2+(y+12)^2+(z-8)^2 = 100

(y+12)^2+(z-8)^2 = 84

A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84

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3 years ago
Triangle A'B'C' is the image of triangle ABC after a sequence of rigid motions,
Feliz [49]

Answer:

The sequence are:

i. reflection about the y-axis

ii. 2 units translation downwards

iii. 1 unit translation to the right

Step-by-step explanation:

Rigid transformation is a process of producing the image of a given figure or shape by either reflection, rotation, dilation or translation method. Thus the orientation and size of the figure changes with respect tot the method applied.

For the given question, some sequence were applied to produce the image of ABC.

The sequence are:

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4 (x+5) = 4 (3+x) helppp
uysha [10]

Answer:

This is a no solution (if you're asking to solve this equation). It will lead to:

20 = 12

Which is NOT equal.

The answer is thus No Solution.

Step-by-step explanation:

4(x + 5) = 4(3 + x) ~ Distribute it

4x + 20 = 12 + 4x ~ Subtract the x

20 = 12 ~ Remaining

20 does NOT equal 12.

The answer is No Solution.

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1 year ago
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The point at which the two lines intersect is (4,7).

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