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2 years ago

Select all of the solutions to the equation below. 12x2=24

Mathematics

1 answer:

DENIUS [597]2 years ago

6 0

Answer:6 4

Step-by-step explanation:

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Right triangle similarity: Solve for x and y

OleMash [197]

Answer:

x=4 $\sqrt{5}$ ,y=8 $\sqrt{5}$

Step-by-step explanation:

sin∠SRT = sin∠TSV,

SO $\frac{x}{20} =\frac{4}{x}$ , $x^{2}$ =80,x= $\sqrt{80} =4\sqrt{5}$ ;

In the same way:

sin∠RSV = sin∠RTS,

SO $\frac{16}{y} =\frac{y}{20}$ ， $y^{2}$ =320,y=8 $\sqrt{5}$

7 0

2 years ago

The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?

DIA [1.3K]

Answer:

$Area = 6.28\ ft^2$ or $Area = 2 \pi\ ft^2$

Step-by-step explanation:

Given

$Radius, r = 4ft$

$Angle, \theta = 45$

Required

Calculate the area of the sector

When angle is given in degrees, the area of sector is calculated as thus;

$Area = \frac{\theta}{360} * \pi * r^2$

$Substitute\ r = 4\ and\ \theta = 45$

$Area = \frac{\theta}{360} * \pi * r^2$ becomes

$Area = \frac{45}{360} * \pi * 4^2$

$Area = \frac{45}{360} * \pi * 16$

$Area = \frac{45*16}{360} * \pi$

$Area = \frac{720}{360} * \pi$

$Area = 2 * \pi$

$Area = 2 \pi\ ft^2$

The above is the area in terms of π

Solving further.... (Take π as 3.14)

$Area = 2 \pi\ ft^2$ becomes

$Area = 2 * 3.14\ ft^2$

$Area = 6.28\ ft^2$

Hence, the area of the sector is

$Area = 6.28\ ft^2$ or $Area = 2 \pi\ ft^2$

8 0

3 years ago

What is the value for x ? i need help

evablogger [386]

X=33.5 degrees
I’m a pro

7 0

3 years ago

Need help please!!!! Brainiest if answered correctly!!!! No link, it will be reported!!

patriot [66]

The mean increases. When Deleware (2,000: 2) is included the mean must be divided by 9 instead of 8.

3 0

2 years ago

Slader records show that the average life expectancy of a pair of shoes is 2.2 years with astandard deviation of 1.7 years. A ma

Oksanka [162]

Answer:

For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.

Step-by-step explanation:

Given:

Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)

Let's find the Z score.

Z = $\frac{x - mean}{S.D}$

Now plug in the given values in the above formula, we get

Z = $\frac{1 - 2.2}{1.7} = -0.71$

Now we have to use the z-score table.

The z-score for 0.71 is 0.2611

Since it z is negative, so we subtract 0.2611 from 0.5000

0.5000 - 0.2611 = 0.2389

Percentage = 0.2389 × 100 = 23.89%

To find replaces for 1000 pairs, we need to multiply 23.89% by 1000

= $\frac{23.89}{100} .1000 = 238.9$

= 239

The cannot be in decimal, when we round off to the nearest whole, we get

239

3 0

3 years ago