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4 years ago

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Mathematics

1 answer:

marysya [2.9K]4 years ago

5 0

Answer:

Step-by-step explanation:

if you used cross products you'd pair 8 with 100 and n with 20

That written out would be 8(100)=20n

8(100)=800

800=20n

Divide on both sides

800/20=40

20/20 (cancels out)

Therefore n=40

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Sup peeps Can someone find the area of this plz

ziro4ka [17]

Answer:

Step-by-step explanation:

The following figure is a trapezium, 

So Given,

Parallel sides of the trapezium = 17ft and 39ft

Height of the trapezium = 16ft

Therefore, 

Area of the trapezium

$= \frac{1}{2} \times (sum \: of \: parallel \: sides) \times height$

$= \frac{1}{2} \times (17ft + 39ft) \times 16ft$

$= \frac{1}{2} \times 56ft \times 16ft$

$= 56ft \times 8ft$

$= 448 {ft}^{2}$

Hence,

448 sq.ft is the area of the trapezium (Ans)

7 0

3 years ago

a bank loaned out $13,000 part of it at a rate of 8% per year and the rest at 16% per year. if the interest received in one year

slava [35]

Answer: $725

Step-by-step explanation:

Let x represent the amount invested at 8%, then $13,000 - x is the amount invested at 16%.

0.08(x) + 0.16(13,000 - x) = 1500

0.08x + 2080 - 0.16x = 1500

2080 - 0.08x = 1500

- 0.08x = -580

x = 7250

7 0

3 years ago

Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿Cuáles son las longitudes de sus otros

jolli1 [7]

Answer:

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

$x^2+y^2=25^2\\ \\x^2+y^2=625$

The area of the right triangle is half the product of its legs, thus

$84=\dfrac{1}{2}xy\\ \\xy=168$

Solve the system of two equations:

$\left\{\begin{array}{l}x^2+y^2=625\\ \\xy=168\end{array}\right.$

From the second equation:

$x=\dfrac{168}{y}$

Substitute it into the first equation:

$\left(\dfrac{168}{y}\right)^2+y^2=625\\ \\168^2+y^4=625y^2\\ \\y^4-625y^2+168^2=0\\ \\D=(-625)^2-4\cdot 168^2=(625-2\cdot 168)(625+2\cdot 168)=289\cdot 961=17^2\cdot 31\\ \\\sqrt{D}=17\cdot 31=527\\ \\y^2_{1,2}=\dfrac{-(-625)\pm 527}{2}=49,\ 576\\ \\y_1=7,\ y_2=-7,\ y_3=24,\ y_4=-24$

The length of the leg cannot be negative, so

$y_1=7\Rightarrow x_1=\dfrac{168}{7}=24\\ \\y_2=24\Rightarrow x_2=\dfrac{168}{24}=7$

6 0

3 years ago

Ok so I need help on this ,asap plz :)

iragen [17]

Number 1 is 4 radical 10

4 0

3 years ago

How do you graph 24x−6y=18

nikklg [1K]

Answer:

You will graph a function with the equation being y = 4x - 3, to plot this function read step by step explanation.

Step-by-step explanation:

First we have to find the equation of the line so we do....

24x - 6y = 18

24x = 18 + 6y

6y = 24x - 18

y = 4x - 3

Now that we know the equation we just have to find two point by using this equation and connect them between each other in order to graph the function represented by this equation. For example

For x = 0

y = 4x - 3

y = -3

So we know that there is a point (0, - 3)

For x = 1

y = 4x - 3

y = 4 - 3

y = 1

So we know that there is a a point (1, 1)

Connect the two point and you will get the function graph

6 0

4 years ago