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grandymaker [24]
3 years ago
15

Explain how to find the volume of any composite figure.

Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0

Answer:

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

yaroslaw [1]3 years ago
6 0

Answer:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

Step-by-step explanation:

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Your friend gave you a gift card to a new restaurant. after you spend $36 on dinner, there is a balance of $44 left on the gift
Sergio [31]
36+44=80 when you add them
8 0
3 years ago
Read 2 more answers
If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result
kirza4 [7]
The correct answer for this question is this one: "D it increases by $1,800,000"
<span>If the federal reserve decreases the reserve rate from 2.5% to 1.25%,  this affect the amount of money that would result because of fractional reserve banking from an initial deposit in a bank of $45,000 is that </span><u>it increases by $1,800,000</u>Hope this helps answer your question and have a nice day ahead.
3 0
3 years ago
What adds up to -54 and multiplies to -16
Kaylis [27]
X + y = -54
xy = -16

xy = -16
\frac{xy}{x} = \frac[-16}{x}
y = \frac{-16}{x}

x + y = -54
x + \frac{-16}{x} = -54
\frac{x^{2}}{x} + \frac{-16}{x} = -54
\frac{x^{2} - 16}{x} = -54
x^{2} - 16 = -54x
x^{2} + 54x - 16 = 0
x = \frac{-(54) \± \sqrt{(54)^{2} - 4(1)(-16)}}{2(1)}
x = \frac{-54 \± \sqrt{2916 + 64}}{2}
x = \frac{-54 \± \sqrt{2980}}{2}
x = \frac{-54 \± 59.6}{2}
x = -27 \± 29.8
x = -27 + 29.8    or    x = -27 - 29.8
x = 2.8    or    x = 56.8

     x + y = -54
  2.8 + y = -54
- 2.8          - 2.8
           y = -56.8
     (x, y) = (2.8, -56.8)

             or

        x + y = -54
  -56.8 + y = -54
+ 56.8        + 56.8
              y = 2.8
        (x, y) = (-56.8, 2.8)

The two numbers that add up to -54 and multiply to -16 are -56.8 and 2.8.
8 0
3 years ago
In 5 seconds an athlete runs 40 feet. what is the average speed in miles per hour?​
NikAS [45]

Answer:

12 x 40 = 480 feet per minute.

480 x 60 = 28800 feet per hour.  

28800/5280 = 5.45 miles per hour.

Hope that helps.Thank you!!!

6 0
2 years ago
Read 2 more answers
A major retail clothing store is interested in estimating the difference in mean monthly purchases by customers who use the stor
mixer [17]

Answer:

Critical value is t = 1.9901

Step-by-step explanation:

We are given the results of the sampling :

                                     In-House Credit Card                National Credit Card                    <u>Sample Size</u> :                              32                                                    50

<u>Mean Monthly Purchases </u>:      $45.67                                            $39.87

<u>Standard Deviation </u>:                $10.90                                             $12.47

Also, the managers wished to test whether there is a statistical difference in the mean monthly purchases by customers using the two types of credit cards, using a significance level α of 0.05.

<em>Firstly, we will specify our null and alternate hypothesis;</em>

Let \mu_1 = Mean Monthly Purchases of In-House Credit Card

     \mu_2 = Mean Monthly purchases of National Credit Card

So, Null Hypothesis, H_0 : \mu_1-\mu_2 = 0  {means that there is no difference in the mean monthly purchases by customers using the two types of credit cards}

Alternate Hypothesis, H_0 : \mu_1-\mu_2\neq 0  {means that there is statistical difference in the mean monthly purchases by customers using the two types of credit cards}

The test statistics that will be used here is <u>Two-sample t-test statistics</u>;

              T.S. = \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  ~ t_n___1+n_2-_2

where, \bar X_1 = Sample mean Purchases of In-House Credit Card = $45.67

           \bar X_2 = Sample mean Purchases of National Credit Card = $39.87

            s_p = pooled variance

            n_1 = In-house credit card sample = 32

            n_2 = National credit card sample = 50

So, degree of freedom of t-value here is (32 + 50 - 2) = 80

Now, at 0.05 significance level, t table gives critical value of t = 1.9901 at 80 degree of freedom.

<em>Therefore, the critical value assuming the population standard deviations are not known but that the populations are normally distributed with equal variances is t = 1.9901.</em>

4 0
2 years ago
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