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2 years ago

14

it takes 4 cups of suger to bake a cake and 2 cups of suger to make a tray of cookies. Mary has a total of 15 cups of sugar to b

ake x cakes and y trays of cookies.

1 answer:

Stolb23 [73]2 years ago

7 0

She can make two cakes and 3 trays of cookies

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Evaluate n/6+2 when n=12

brilliants [131]

N/6 +2
12/6 + 2
2+ 2
4

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2 years ago

Plzzz Help ASAP! This image shows a square pyramid what is the surface area of this square pyramid?

padilas [110]

Answer:

$72\ ft^{2}$

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

so

$SA=b^{2}+4[\frac{1}{2}bh]$

where

b is the length side of the square base

h is the height of the triangular face

Remember that

Each lateral triangular face is a triangle 45°-90°-45°

so

$h=b/2$

we have

$b=6\ ft$

so

$h=6/2=3\ ft$

substitute in the formula

$SA=6^{2}+4[\frac{1}{2}(6)(3)]=72\ ft^{2}$

7 0

3 years ago

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x

Tatiana [17]

Answer:

reflection over the x-axis and a vertical compression by a factor of 8

Step-by-step explanation:

The parent function is given as

$f(x) = x$

The transformed graph has equation:

$g(x) = - 8f(x)$

The factor of 8, indicates a vertical stretch.

The negative sign indicates a reflection in the x-axis.

Therefore the transformation is a reflection over the x-axis and a vertical compression by a factor of 8.

3 0

3 years ago

leonid [27]

<h3>Answer: Choice 2) sin(B) = cos(90-B)</h3>

Explanation:

The rule is that

sin(A) = cos(B)

if and only if A+B = 90.

Solving for A gets A = 90-B

So we end up with

sin(90-B) = cos(B)

which is the same as

cos(B) = sin(90-B)

5 0

3 years ago

A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8 cm. Find the area of the shaded regio

icang [17]

Answer:

Area of the shaded region = 6.88 cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the semicircle

Area of the rectangle = Length × Width

Length of the rectangle = AD = 8 cm

Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]

Area of the rectangle = 8 × 4 = 32 cm²

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

= $\frac{1}{2}\pi (OP)^{2}$

= $\frac{1}{2}\pi (4)^{2}$

= 25.12 cm²

Area of the shaded region = 32 - 25.12

= 6.88 cm²

3 0

2 years ago