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2 years ago

Which Statement is true about this right angle?

Mathematics

1 answer:

Anon25 [30]2 years ago

8 0

Use Pythagorean theorem..

$adj^2+op^2=hyp^2\\\\\boxed{\boxed{z^2+y^2=x^2}}$

Answer 3(c)

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What is the exact simple interest on 150-day loan of 2,350 at %10

Crazy boy [7]

Answer:

96.58

Step-by-step explanation:

The formula for simple interest is ...

I = Prt

where P is the principal, r is the rate, and t is the time period in years.

Exact interest is computed using 365 days per year, so the time period is ...

t = 150/365

Then the interest is ...

I = 2350(0.10)(150/365) = 96.58

3 0

3 years ago

0. ‘ Alex is making 12 pennants for i " the school fair The pattern he is using to is make the pennants is shown in the 1 The fa

Svetradugi [14.3K]

Answer: Total cost to make 12 pennants is $52.5.

Step-by-step explanation:

Since we have given that

There is a rectangle and a triangle.

Length of rectangle = 1 ft

Width of rectangle = 3 ft

So, Area of rectangle is given by

$Area=Length\times Breadth \\\\Area=1\times 3\\\\Area=3\ ft^2$

Base of triangle = 1 ft

Height of triangle = 1 ft

So, Area of triangle is given by

$Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 1\times 1\\\\Area=\frac{1}{2}\ ft^2$

So, Total area of the pennants will be

$3+\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\ ft^2$

Number of pennants = 12

Cost per square foot of pennant = $1.25

So, Total cost for 12 pennants is given by

$12\times \frac{7}{2}\times 1.25\\\\=\$52.5$

Hence, Total cost to make 12 pennants is $52.5.

3 0

2 years ago

Read 2 more answers

A. What would be the cost of the Standard Daily Rate plus Mileage plan?

Jobisdone [24]

Answer:

Part a) $\$190$

Part b) $\$315$

Part c) Standard Daily Rate plus Mileage plan

Step-by-step explanation:

Part a) What would be the cost of the Standard Daily Rate plus Mileage plan?

Let

y ----> the total cost

x ----> the number of kilometers

we have that

For a Luxury car

$y=70+0.30x$

For x=400 km

substitute

$y=70+0.30(400)$

$y=\$190$

Part b) What would be the cost of the Unlimited Mileage plan?

we know that

The Unlimited Mileage plan for a Luxury car is $105 per day (see the table)

The trip are three days

To find the total cost multiply $105 by 3

$3(\$105)=\$315$

Part c) Which is the better plan?

Compare

$\$190 < \$315$

therefore

For this trip the better plan is the Standard Daily Rate plus Mileage plan

7 0

3 years ago

Let X represent the time it takes from when someone enters the line for a roller coaster until they exit on the other side. Cons

Yuri [45]

Answer:

a. E(x) = 3.730

b. c = 3.8475

c. 0.4308

Step-by-step explanation:

Given

0 x < 3

F(x) = (x-3)/1.13, 3 < x < 4.13

1 x > 4.13

Calculating E(x)

First, we'll calculate the pdf, f(x).

f(x) is the derivative of F(x)

So, if F(x) = (x-3)/1.13

f(x) = F'(x) = 1/1.13, 3 < x < 4.13

E(x) is the integral of xf(x)

xf(x) = x * 1/1.3 = x/1.3

Integrating x/1.3

E(x) = x²/(2*1.13)

E(x) = x²/2.26 , 3 < x < 4.13

E(x) = (4.13²-3²)/2.16

E(x) = 3.730046296296296

E(x) = 3.730 (approximated)

What is the value c such that P(X < c) = 0.75

First, we'll solve F(c)

F(c) = P(x<c)

F(c) = (c-3)/1.13= 0.75

c - 3 = 1.13 * 0.75

c - 3 = 0.8475

c = 3 + 0.8475

c = 3.8475

What is the probability that X falls within 0.28 minutes of its mean?

Here we'll solve for

P(3.73 - 0.28 < X < 3.73 + 0.28)

= F(3.73 + 0.28) - F(3.73 + 0.28)

= 2*0.28/1.3 = 0.430769

= 0.4308 -- Approximated

5 0

2 years ago

Triangle A is dilated by a scale factor of 2. What is the ratio of the perimeter of Triangle A to the perimeter of Triangle B? A

leva [86]

The answer is A) 1:2

7 0

2 years ago

Read 2 more answers