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2 years ago

13

Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupc

akes did Riley make for the bake sale

1 answer:

Dmitrij [34]2 years ago

6 0

Answer:

70

Step-by-step explanation:

6x5=30

8x5=40

40+30=70

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A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

5 0

3 years ago

Read 2 more answers

P (-2,6), Q (9,6), R (7, -1), S (-4, -1) are the vertices of a quadrilateral.

vova2212 [387]

Step-by-step explanation:

Parallelogram

Reflect y=-1 ;x changes sign

6 0

3 years ago

The length of a kitchen wall is 24 2/3 feet long. A border will be placed along the wall of the kitchen. If the border strips ar

krek1111 [17]

Total length of the kitchen wall = 24 2/3 feet.

Let us convert 24 2/3 feet into improper fracion.

24 2/3 = (24*3+2)/3 = 74/3 feet.

Length of each strip = 1 3/4 feet.

Let us convert 1/3/4 feet in improper fracion.

1 3/4 feet = (1*4+3)/4 = 7/4 feet.

Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)

= 74/3 feet ÷ 7/4 feet.

Let us convert division sign into multiplication, we get

74/3 × 4/7.

Multiplying across, we get

296/21.

On dividing 296 by 21, we get 14.09 approximately.

14.09 represents more than 14.

So, we can round it to the next whole number, that is 15.

Therefore, 15 strips of border are needed.

5 0

3 years ago

S^2 - 10 s = -8 t = 3/4

RideAnS [48]

Answer:

Step-by-step explanation:

fu**k my di*k

4 0

2 years ago

Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95

Virty [35]

Answer:

$L(x)=1+\dfrac{1}{3}x$

$\sqrt[3]{0.95} \approx 0.9833$

$\sqrt[3]{1.1} \approx 1.0333$

Step-by-step explanation:

Given the function: $g(x)=\sqrt[3]{1+x}$

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial, $L(x)=f(a)+f'(a)(x-a)$

a=0

$g(0)=\sqrt[3]{1+0}=1$

$g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}$

Therefore:

$L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x$

(b) $\sqrt[3]{0.95}= \sqrt[3]{1-0.05}$

When x = - 0.05

$L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833$

$\sqrt[3]{0.95} \approx 0.9833$

(c)

(b) $\sqrt[3]{1.1}= \sqrt[3]{1+0.1}$

When x = 0.1

$L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333$

$\sqrt[3]{1.1} \approx 1.0333$

7 0

3 years ago