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3 years ago

Help me ASAP PLEASE lateral surface area of the triangular prism :)

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

Answer:

15+15+40+40+40= 150

Step-by-step explanation:

Triangle x2]

(5 x 6) / 2

Rectangle x3]

(8 x 5)

only for a triangle, we divide by 2

Your answer is 150cm square.

But you do not have that option so I would pick the closes one if I were you. Have a good day.

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Julie made identical necklaces out of shell she collected at the beach all together she we use 10 Brown shells 15 black shells a

Lelu [443]

Answer:

Therefore the number of brown shells in each necklace was = 2 brown shells.

Step-by-step explanation:

If Julie made identical necklaces then we can say that number of each different colored shells were equally distributed among the necklaces.

So we can say that to find the number of necklaces we have to find the GCD (greatest common denominator) of the different colored shells.

Therefore the GCD of 10, 15 and 20 is 5.

Therefore Julia made 5 necklaces.

Therefore the number of brown shells in each necklace was = $\frac{10}{5}$ = 2 shells.

4 0

3 years ago

Which number line represents the solution of x + 3 > 2?

Ghella [55]

Answer:

x > -1

(-1, infinity)

Step-by-step explanation:

6 0

3 years ago

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

Simplify <img src="https://tex.z-dn.net/?f=4%20%2B%20%20%5Cfrac%7B3%7D%7B7%7Dx%20-%202%20-%20%20%5Cfrac%7B2%7D%7B7%7Dx%20%20

Sloan [31]

$4 + \frac{3}{7}x - 2 - \frac{2}{7}x\\\\\text{combine like terms}\\\\\left(\dfrac{3}{7}x-\dfrac{2}{7}x\right)+(4-2)=\dfrac{3-2}{7}x+2=\boxed{\dfrac{1}{7}x+2}$

6 0

3 years ago

Read 2 more answers

Write the sum or difference in the standard form a + bi. ( 7 + 5i) - ( -9 + i)

Veseljchak [2.6K]

(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i

= 4i + 16

3 0

3 years ago