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3 years ago

Can someone please tell me how I am suppose to do this? I'm so confused

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

Answer:

108°

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

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Find the perimeter of a rectangle whose length is 3 cm greater than its height, and whose area is 40 cm².

jonny [76]

Answer: $26\ cm$

Step-by-step explanation:

The perimeter of a rectangle can be calcualated with this formula:

$P=2l+2h$

Where "l" is the lenght and "h" is the height.

The area of a rectangle can be found with this formula:

$A=lh$

Where "l" is the lenght and "h" is the height.

In this case we know that:

$A=40\ cm^2$

Therfore, we can susbsitute them into $A=lh$ and solve for "h" in order to find its value:

$40=(h+3)h\\\\40=h^2+3h\\\\h^2+3h-40=0$

Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:

$(h-5)(h+8)=0\\\\h_1=5\\\\h_2=-8$

The positive value is the height. Then:

$h=5\ cm$

Since the length is 3 centimeters greater than its height, we get that this is: Then:

$l=5\ cm+3\ cm\\\\l=8\ cm$

Substituting values into $P=2l+2h$ , we get that the perimeter is:

$P=2(8\ cm)+2(5\ cm)\\\\P=26\ cm$

8 0

3 years ago

Read 2 more answers

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

When Mrs. Stewart makes pie dough, she uses 2/3 cup of shortening for every 2 1/2 cups of flour which proportion could be used t

n200080 [17]

Answer:

She will use the ratio shortening to flour as 4 : 15

Step-by-step explanation:

When Mrs. Stewart makes pie dough, she uses $\dfrac{2}{3}$ cups of shortening for every $2\dfrac{1}{2} = \dfrac{5}{2}$ cups of flour.

So, for each $\dfrac{2}{3}$ cup of shortening she uses $\dfrac{5}{2}$ cups of flour.

Then, the ratio of shortening to flour in the mixture of pie dough will be

$\dfrac{\dfrac{2}{3} }{\dfrac{5}{2} } = \dfrac{4}{15}$ i.e. 4 : 15.

Therefore, she will use the ratio shortening to flour as 4 : 15 to find the amount of flour she needs when she uses 5 cups of shortening. (Answer)

3 0

3 years ago

Directions for (1-5): Plot the following on a number line<br> 0.75<br> 1.5<br> -2 ¾<br> -3 ⅕<br> 6.8

lana [24]

Answer:

|---|--------|---------|------|---------|-|

-2 ¾ -3 ⅕ 0.75 1.5 6.8

(This is a rough answer, it mainly just shows the order).

Step-by-step explanation:

1. -2 ¾

2. -3 ⅕

3. 0.75

4. 1.5

5. 6.8

7 0

2 years ago

Seventy-eigth hundred-thousandths

s2008m [1.1K]

The decimal number for seventy eight hundred-thousandths is 5.

<h3>What is decimal number?</h3>

A decimal is a number that consists of a whole and a fractional part

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

What is the decimal number for seventy eight hundred-thousandths?

= 78 x 10⁻⁵

<u>note</u>: a hundred thousandth = 10⁻⁵

= 0.00078

Thus, the decimal number for seventy eight hundred-thousandths is 5.

Learn more about decimal number here: brainly.com/question/1827193

#SPJ1

8 0

11 months ago