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2 years ago

Q4. The dimensions of a rectangular sheet of metal are 9.96m by 5.08 m. Find

Mathematics

1 answer:

romanna [79]2 years ago

5 0

Answer:

a) 30m

b) 50.6m²

Step-by-step explanation:

Perimeter = 2(length + width)

= 2(9.96 + 5.08)

= 30.08 m

Area = length × width

9.96 × 5.08

50.5968 m²

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A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a

RideAnS [48]

Answer:

720 possible ways

Step-by-step explanation:

The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.

The first position can be taken by any of the 10 runners

Now, the second position can be taken by remaining 9 runners

while the third position can be taken by the renaming 8 runners.

Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways

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2 years ago

Sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late deliv

mixas84 [53]

$12 times X - 15

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2 years ago

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Annie is creating a stencil for her artwork using a coordinate plane. The beginning of the left edge of the stencil falls at (2,

taurus [48]

Answer:

(A)(12, 9)

Step-by-step explanation:

Given:

The beginning of the left edge of the stencil falls at (2, −1).

A point, say Q on the stencil is at (4, 1).

Point Q divides the stencil into the ratio 1:4.

We are required to find the end of the stencil.

Mathematically, Point Q divides the stencil internally in the ratio 1:4.

For internal division of a line with beginning point $(x_1,y_1)$ and end point $(x_2,y_2)$ in the ratio m:n, we use the formula

$Q(x,y)=(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n} )$

$(x_1,y_1)=(2, -1)$ , $(x_2,y_2)=?$ , Q(x,y)=(4,1), m:n=1:4

Therefore:

$(4,1)=(\dfrac{1x_2+4*2}{1+4} ,\dfrac{1y_2+4*-1}{1+4} )\\(4,1)=(\dfrac{x_2+8}{5} ,\dfrac{y_2-4}{5} )\\$Therefore:\\\dfrac{x_2+8}{5}=4\\x_2+8=4X5\\x_2=20-8=12\\$Similarly\\\dfrac{y_2-4}{5}=1\\y_2-4=5\\y_2=4+5=9\\(x_2,y_2)=(12,9)$

The correct option is A.

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2 years ago

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Turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand. Ben has sold no more than $30 worth of turkey sandwic

grigory [225]

Answer:

The maximum number of turkey sandwiches Ben could have sold is 6.

Step-by-step explanation:

We are given that turkey sandwiches cost $2.50 and veggie wraps cost $3.50 at a snack stand.

Given the information, we are to find the maximum value of turkey sandwiches Ben could have sold.

$2 . 5 0 x + 3 . 5 0 y \leq 3 0$

Number of veggie wraps sold (y) = 4

2.50x + 3.50(4) < 30

2.50x + 14 < 30

- 14 -14

2.50x < 16

$x$

The maximum number of turkey sandwiches Ben could have sold is 6.

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2 years ago

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A central angle, thata, of a circle with radius 16 inches intercepts an arc of 19.36 inches. Find thata.

kaheart [24]

Theta*
$\theta=\frac{19.36}{16}=1.21$ radians.

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2 years ago

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