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3 years ago

7

Find the area of the parallelogram. Round to the nearest hundredth if necessary.

1 answer:

user100 [1]3 years ago

3 0

Answer:

48

Step-by-step explanation:

area of a parrelogram formula:

A=bh

A=(8)(6)

A=48

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As cars drive up a ramp at a multi-storey car park they go up 2 meters. the length of the ramp is 10 meters. find the angle betw

daser333 [38]

This is a right angle triangle problem
drawing a vertical line at from the point where the ramp touches the car park leaves a right angle triangle with the
opposite being 2m
hypothenus being 10m
adjacent unknown
we could use sine
SineO equal to opposite over hypothenus
SineO equal to 2/10
SineO equal to 0.2
O equal to Sine^1(0.2)
O equal to 11 .5
The angle between the ramp and the horizontal is 11.5 degrees

7 0

3 years ago

Find the measure of the angle.

vesna_86 [32]

It will be 4 16 because it a circle on square timing 94 Fahrenheit

5 0

2 years ago

Find three consecutive even numbers whose sum is 1674.

Norma-Jean [14]

Answer:

556, 558, and 560

Step-by-step explanation:

1674/3 = 558 (An even number, yay)

So 558 + 558 + 558 = 1674

Subtract two from the first one and add two to the last (still equal)

556 + 558 + 560

adding them equals 1674 so the answer is

556, 558, and 560

7 0

3 years ago

A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 66 points. Th

german

Answer:

26 wins , 14 ties

Step-by-step explanation:

Given: Hockey teams receive $2$ points when they win and $1$ point when they tie. One season, a team won a championship with $66$ points. They won $12$ more games than they tied.

To Find: How many wins and how many ties did the team have.

Solution:

let the number of wins hockey team have $=\text{x}$

let the number of ties hockey team have $=\text{y}$

Now,

Hockey teams receive $2$ points when they win and $1$ point when they tie.

$2\text{x}+\text{y}=66$

They won $12$ more games than they tied

$\text{x}-\text{y}=12$

Solving both equations we get

$\text{x}=26$

$\text{y}=14$

Hence, the hockey team have $26$ wins and $14$ ties.

3 0

3 years ago