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MatroZZZ [7]
2 years ago
9

Please help :)) BRAINIEST

Mathematics
1 answer:
Marianna [84]2 years ago
4 0

Answer:

<h2><u>274.75 yd³</u></h2>

Step-by-step explanation:

First we can tilt this shape so it sits flat. This is just to make it easier.

Since we know the diameter, the formula will be different.

V=3.14(\frac{d}{2})^2h

Now lets rewrite it replacing variables.

V=3.14(\frac{10}{2})^23.5

Solve. While solving this, order of operations is critical.

10/2 = 5

5² = 5 × 5 = 25

3.14 × 25 = 78.5

78.5 × 3.5 = 274.75

Now we need to add the measurement unit which is yards or yd.

We also need to add ³ since it is volume

<u>274.75 yd³ is our final answer</u>

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What is the expression for the below sequence (use n)<br><br> -3,-6,-9,-12
polet [3.4K]

Answer:

a_{n} = - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

- 6 - (- 3) = - 9 - (- 6) = - 12 - (- 9) = - 3

This indicate the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = - 3 , thus

a_{n} = - 3 - 3(n - 1) = - 3 - 3n + 3 = - 3n

The n th term is - 3n

6 0
3 years ago
Jordie is getting balloons for his aunt's birthday party. He wants each balloon string to be 12 feet long. At the party store, s
geniusboy [140]

Answer:

216 yards

Step-by-step explanation:

You'd multiply the amount of string for each balloon (12 feet) by the 54 balloons he needs, and you get 648 feet. There are 3 feet in a yard so then you would divide 648 by 3 and get 216 yards

8 0
2 years ago
What is ∑n=16[4(−5)n−1] equal to?<br><br> Enter your answer in the box.
Cerrena [4.2K]

Step-by-step explanation:

Geometric Sequence formula for general term:

an = a1(r^n-1)

a1 = 4 × (-5)^1-1

a1 = 4

r = -5

Summation formula for geometric sequence :

Sn = a1 ( 1 - r^n / 1 - r )

...<em>take n from the top of the summation.</em>

= 4 ( 1 -(-5)^6 / 1 -(-5)

= -10416.

4 0
2 years ago
In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD
dmitriy555 [2]

Answer:

The area of   parallelogram ABCD  is78.42 \mathrm{in}^{2}

Explanation:

Given:

AD = 12 in

m \angle C=46^{\circ}

m \angle D B A=72^{\circ}

To Find:

The area of   parallelogram ABCD=?  

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.  

The area of the parallelogram can be calculated by a b * \sin (a n g l e)

Substituting the value of a=12  we have

\text { Area of parallelogram }=12 * \text { bsin } 46

<u>To find  the value of b, </u>

We know that area of a triangle can be expressed as,

\text { Area of triangle }=(A b / 2) \sin (\text {angle})

So,

(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72

Cancelling BD and 2 on both sides we get,  

12 * \sin 46=A B * \sin 72

A B=12 * \frac{\sin 46}{\sin 72}

Therefore,

b=\frac{12 \sin 46}{\sin 72}

Substituting the value of b,

=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46

=78.42  

So the area of the parallelogram is78.42 \mathrm{in}^{2}

6 0
3 years ago
Read 2 more answers
Thomas needed a loan to buy a car. He borrowed $24,000 from the bank at a rate of 8.25% simple interest for 36 months. What was
Leya [2.2K]

Answer:

5,940.00

Step-by-step explanation:

Well its was really simple your welcome

8 0
2 years ago
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