1/3 of a cup of flour is used to make 6 cinnamon rolls. How much fliur is needed to make 1 cinnamon roll?

At a water park there is a slide that you really want to ride. In order to get to the top of the 29 foot slide you must first cl

murzikaleks [220]

Answer: 20 feet

Step-by-step explanation:

This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.

Solve with Pythagoras rule:

c² = a² + b²

c = hypotenuse

a= length

b = height

29² = 21² + b²

841 = 441 + b²

b² = 841 - 441

b² = 400

b = √400

b = 20 feet

8 0

3 years ago

A basketball player made 17 out of 20 free throws at practice. What percent of the free throws did the player make? [Write the n

saw5 [17]

He made 81.5% of the throws at practice

6 0

3 years ago

a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of

Nady [450]

Step-by-step explanation:

1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.

2.Clearly it forms a triangle in the parallelogram with three known lengths of side.

3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.

3 0

3 years ago

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A pencil and ruler cost 1.50 together. The ruler is 1.00 more. How much is pencil

Stella [2.4K]

Ok so the solution which greenrune will (hopefully) correct

total is 1.5
p+r=1.5
rule is 1 more than pencil
r=1+p
sub 1+p for r
p+1+p=1.5
2p+1=1.5
minus 1 from both sides
2p=0.5
divide both sides by 2
p=0.25

pencil=$0.25

3 0

3 years ago

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago