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3 years ago

Plzzz help don’t understand plz explain

Mathematics

1 answer:

Olenka [21]3 years ago

7 0

Start from the x-axis

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Find the sum of the first 9 prime numbers.

Dafna11 [192]

Answer:

100

Step-by-step explanation:

The first 9 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.

Their sum is 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100

6 0

3 years ago

Let triangle $DEF$ be equilateral, where the side length is $3.$ A point $G$ is chosen at random inside the triangle. Find the p

noname [10]

Answer:

13.43%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The probability that a point selected a random in triangle has distance from D to 1 or less is given by the area of the sector divided by the area of triangle

step 1

Find the area of sector

$A_1=\frac{60}{360}\pi r^{2}$

we have

$r=1\ unit$

substitute

$A_1=\frac{60}{360}\pi (1)^{2}$

$A_1=\frac{\pi}{6}\ unit^{2}$

step 2

Find the area of triangle

Applying the law of sines

The area of an equilateral triangle is equal

$A_2=\frac{1}{2}b^2sin(60^o)$

we have

$b=3\ units\\\\sin(60^o)=\frac{\sqrt{3}}{2}$

$A_2=\frac{1}{2}(3)^2(\frac{\sqrt{3}}{2})$

$A_2=9\frac{\sqrt{3}}{4}\ units^2$

step 3

Find the probability

$P=\frac{A_1}{A_2}$

substitute

$P=\frac{\pi}{6}:9\frac{\sqrt{3}}{4}$

$P=\frac{4\pi}{54\sqrt{3}}$

assume

$\pi =3.14$

$P=\frac{4(3.14)}{54\sqrt{3}}=0.1343$

Convert to percentage

$P=0.1343*100=13.43\%$

8 0

4 years ago

The two trapezoids in the graph below are similar. Which sequence of transformations proves that the trapezoids are similar?

Hoochie [10]

The answer is B.

Hopes this helps!! :')

3 0

3 years ago

Read 2 more answers

A shirt normally sells for $65. It was on sale for 45% off the regular price for 3 days. On the forth day it increased by 10% mo

sergiy2304 [10]

Answer:

$39.33 (rounded to nearest cent)

Step-by-step explanation:

Cost of shirt normally = $65

Cost of shirt for 3 days = $\frac{100-45}{100}$ × $65

= $\frac{55}{100}$ × $65

= $35.75

Cost of shirt on 4th day = $\frac{100+10}{100}$ × $35.75

= $\frac{110}{100}$ × $35.75

= $39.33 (rounded to nearest cent)

3 0

3 years ago

Read 2 more answers

♥️Any help would be appreciated ♥️

enot [183]

Answer:2/5 a)

Hope this helps you...

Step-by-step explanation:

7 0

4 years ago