All categories

3 years ago

What is the area of the rectangle?

Mathematics

2 answers:

almond37 [142]3 years ago

8 0

Take a look at the picture i sent you

NARA [144]3 years ago

5 0

Use the formula of length of the segment:
$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

$A(-3;-7);\ B(5;-1)\\\\|AB|=\sqrt{(5-(-3))^2+(-1-(-7))^2}=\sqrt{8^2+6^2}=\sqrt{64+36}=\sqrt{100}=10\\\\A(-3;-7);\ D(-6;-3)\\\\|AD|=\sqrt{(-6-(-3))^2+(-3-(-7))^2}=\sqrt{(-3)^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$
$A_{\boxed{ . }}=|AB|\cdot|AD|\\\\A_{\boxed{ . }}=10\cdot5=50\ \text{units}^2$

You might be interested in

Find three consecutive integers whose sum is 96.

levacccp [35]

Answer:

31,32,33

Step-by-step explanation:

31+32+33 = 96

7 0

3 years ago

Find a coterminous angle between 0 and 2 pi for each given angle. 191pi/45

Sedaia [141]

Check the picture below.

let's recall that 2π is a full go-around or namely a revolution

$\bf \cfrac{191}{45}\implies \cfrac{45+45+45+45+11}{45}\implies \cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{11}{45} \\\\\\ 1+1+1+1+\cfrac{11}{45}\implies \stackrel{\textit{and this more}}{\underset{\textit{2 go-around}}{\underset{\uparrow }{2+2}+\stackrel{\downarrow }{\cfrac{11}{45}}}}$

5 0

3 years ago

John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

3 years ago

At the local pet store, zebra fish cost $2.00 each and neon tetras cost $2.15 each. If Ernesto bought 15 fish for a total cost o

bezimeni [28]

So first create and define your variables:
Z = amount of zebra fish
N = amount of neon tetras

Now create your equations:
2z+2.15n=31.20
z+n=15
This is your system. There are multiple methods to use but in this problem I’ll use the substitution method by simplifying the bottom equation.
2z+2.15n=31.20
z=15-n
Now I’ll plug the bottom equation into the top one.
2(15-n)+2.15n=31.20
And just solve from here.
30-2n+2.15n=31.20
0.15n=1.20
n=8
So he bout 8 neon tetras, and 15-8= 7, so he bought 7 zebra fish

6 0

3 years ago

Read 2 more answers

HELP PLS I HABE BEEN STARING AT THUS QUESTION FOR SO LONG

kari74 [83]

Answer:

56%

Step-by-step explanation:

Reducing the picture by 80% and then by 70% gives a reduction of 56%

70% of 80 = 0.7 × 80 = 56%

7 0

4 years ago