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2 years ago

Can someone please give me the answers I will mark you brilliant as soon as it pops up

Mathematics

2 answers:

Rom4ik [11]2 years ago

6 0

I believe 80 sorry if wrong

Vesna [10]2 years ago

5 0

Answer:

1.) $=50x+30y$

2.? The first one

Step-by-step explanation:

1.) $\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac$ , $a=10,\:b=5x,\:c=3y$

$=10\cdot \:5x+10\cdot \:3y$ $=50x+30y$

2.) The first one

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3. How far does the ant crawl to get from the base of the cone to the top of the hill?

damaskus [11]

Answer:

The ant has to crawl an approximate distance of 29mm

Step-by-step explanation:

Given

$Volume = 8792mm^3$

$r = 20mm$ --- radius

See attachment

Required

Distance the ant has to crawl (i.e. the slant height)

First, we calculate the height of the hill

The volume of a cone is:

$Volume = \frac{1}{3}\pi r^2h$

$8792 = \frac{1}{3} * \frac{22}{7} * 20^2*h$

$8792 = \frac{1}{3} * \frac{22}{7} * 400*h$

$8792 = \frac{22* 400}{3*7} *h$

Make h the subject

$h = \frac{8792 * 3 * 7}{22 * 400}$

$h = \frac{184632}{8800}$

$h = 20.98mm$

To calculate the slant height (s), we apply Pythagoras theorem

$s^2=h^2 + r^2$

$s^2=20.98^2 +20^2$

$s^2=840.1604$

$s=\sqrt{840.1604$

$s=28.9855205232$

$s= 29mm$ --- approximated

4 0

2 years ago

kara estimates she has about 5/8 of a package of tacks.If a full package contains 500 tacks,which number is closest to the numbe

polet [3.4K]

500 ÷ 8 = 62.5
62.5 x 5 = 312.5
Round up to 313
Answer is 313 tacks

6 0

3 years ago

What is the area of a rectangle? Pls help and I will mark brainliest!

Alchen [17]

Answer:

A. 168 units²

Step-by-step explanation:

<u>Find the missing side of the rectangle, use Pythagorean:</u>

b² = 25² - 7² = 576
b = √576 = 24 units

<u>Find area of rectangle:</u>

A = ab
A = 7*24 = 168 units²

Correct choice is A

7 0

2 years ago

Z - 5 = 33

evablogger [386]

Answer:

C) 5 less than z is 33

Step-by-step explanation:

z-5=33

z-5+5=33+5

z=38

38-33=5

7 0

3 years ago

Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the

babymother [125]

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

$d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }$

DC:

D(-2,-1) C(-1,2)

$d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16$

CF:

C(-1,2) F(1,1)

$d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24$

F(1,1) E(2,-2)

$d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16$

E(2,-2) D(-2,-1)

$d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\$

3.16+2.24+3.16+4.12= 12.68

4 0

2 years ago