All categories

3 years ago

A triangle-shaped machine part has sides of 2 1/2 inches, 3 1/4 inches, and 5 inches. The triangle's perimeter is

Mathematics

1 answer:

SOVA2 [1]3 years ago

8 0

Answer:

Step-by-step explanation:

The perimeter of any shape is the distance around the edge of the shape. It is found by adding the side lengths of each side together.

Add each side length listed for the triangle part.

$P = 2\frac{1}{2} + 3\frac{1}{4} + 5 \\P = 2\frac{2}{4} + 3\frac{1}{4} + 5\\P = 10 \frac{3}{4}$

You might be interested in

The height of a cylinder is twice the radius of its base.

Ber [7]

Let x represent radius of circle.

We have been given that the height of a cylinder is twice the radius of its base. So height of cylinder would be $2x$ .

Now we will use volume of cylinder formula to our given problem.

$V=\pi r^2h$ , where,

r = Radius of base of cylinder,

h = Height of cylinder.

Upon substituting our given values, we will get:

$V=\pi\cdot x^2\cdot 2x$

$V=2x^3\pi$

Therefore, our required volume expression would be $2x^3\pi$ .

6 0

3 years ago

A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w

-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A $X_a=28$

Type a size B $X_b=10$

Generally the probability of choosing cushion A P(a) is mathematically given by

$P(a)=\frac{28}{38}$

$P(a)=0.73$

Generally the equation for A to be twice as popular as B is mathematically given by

$P(b)+2P(b)=3P$

Therefore Hypothesis

$Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}$

Generally the equation normal approx of p value is mathematically given by

$z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }$

$z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }$

$z=0.75$

Therefore from distribution table

$Pvalue=1-\theta (0.75)$

$Pvalue=0.227$

Therefore there is no sufficient evidence to disagree with the Null hypothesis $H_0$

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0

3 years ago

How many triangles???

Sergio [31]

Answer:

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

6 0

3 years ago

Read 2 more answers

Linda found that the cost to get a swimming pool installed in her backyard is a linear function of the pool's area. A swimming p

joja [24]

Answer:

$35,000

Step-by-step explanation:

if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain

7 0

3 years ago

David wants to pack 574 cereal bars into bags of 10 and bags of 8 the number of bags of 8 is 2 more than the bags of 10. How man

BabaBlast [244]

Answer: Number of bags of 8. = 33

Number of bags of 10. = 31

Step-by-step explanation:

Let x = Number of bags of 8.

y = Number of bags of 10.

As per given.

$8x+10y= 574$ (i)

$x=y+2$ (ii)

Put value of x from (ii) in (i)

$8(y+2)+10y= 574\\\\\Rightarrow\ 8y+16+10y=574\\\\\Rightarrow\ 18y=574-16\\\\\Rightarrow\ 18y=558\\\\\Rightarrow\ y=\dfrac{558}{18}\\\\\Rightarrow\ y=18$

Put this in (i), x= 31+2=33

Hence,

Number of bags of 8. = 33

Number of bags of 10. = 31

6 0

2 years ago