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2 years ago

If anyone could help with any 3 or all of these questions it would be great!

Mathematics

1 answer:

adell [148]2 years ago

8 0

Answer:

1. 90-68= 22

2. 90-80= 10

3. 90-3= 87

Step-by-step explanation:

A complement angle is found by their sum being 90 degrees. So, you are looking for the angle that would add to the given angle to = 90.

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Oil leaked from a tank at a rate of r(t) liters per hour. the rate decreased as time passed, and values of the rate at two hour

Galina-37 [17]

The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3

The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.

The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.

The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L

The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L

Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L

4 0

3 years ago

Read 2 more answers

30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

2 years ago

On a coordinate plane, a ferris wheel is located at (12,5) and a roller coaster is located at (-5,5)

Lina20 [59]

Answer:

The answer is 17

Step-by-step explanation:

$d = \sqrt{ {(12 - ( - 5))}^{2} + {(5 - 5)}^{2} } \\ = 17$

7 0

3 years ago

Write a numerical expressional for the difference of sixteen and nine

Thepotemich [5.8K]

Answer:

16 - 9 = x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

When the mortgage is completely paid off for Mark and Lynne’s house, it will be 4 times as old as it is now. If they have 21 yea

meriva

The house is 7 years old right now.

<h3>What are word problems in algebraic equations?</h3>

Word problems leading to algebraic equations are real-life problems that can be interpreted and solved with the use of variables and arithmetic operations.

From the information given:

Let us assume that the age of the house is (m)

Now, the amount paid on the mortgage is:

m + 21

This is equal to 4 times as old as it is now;

i.e.

m + 21 = 4m

m- 4m = -21

-3m = -21

m = -21/-3

m = 7

Therefore, we can conclude that the house is 7 years old.

Learn more about word problems in the algebraic equations here:

brainly.com/question/21405634

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5 0

1 year ago