All categories

3 years ago

The area of a rectangle is 60 square inches. If the width is 15 inches, what is the length?

Mathematics

2 answers:

vekshin13 years ago

6 0

Answer:

If Z is the centroid of RST , RZ = 42, ST = 74, TW = 51, ZY = 23 and find each measure. 4. If E is the circumcenter of MNP , find each measure. If Z is the centroid of RST , RZ = 42, ST = 74, TW = 51, ZY = 23 and find each measure. 4. If E is the circumcenter of MNP , find each measure.

Step-by-step explanation:

ss7ja [257]3 years ago

3 0

Answer: 4in

Step-by-step explanation:

Length = Area / Width

L = 60/15

L = 4inches

You might be interested in

A state park has a normally distributed daytime temperatures in the month of June. The mean temperature is 75 Fahrenheit and the

vesna_86 [32]

Answer:

0.16

Step-by-step explanation:

This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.

According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.

The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.

Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:

normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.

6 0

3 years ago

Which sum or difference identity would you use to vertify that cos (180⁰- thata)=-cos thata <br>

astraxan [27]

Step-by-step explanation:

Use the angle difference formula for cosine.

cos(α − β) = cos α cos β + sin α sin β

cos(180° − θ) = cos 180° cos θ + sin 180° sin θ

cos(180° − θ) = (-1) cos θ + (0) sin θ

cos(180° − θ) = -cos θ

3 0

3 years ago

A manufacturer makes plastic containers in the shape of rectangular prisms. One container has a height of 5 inches, a width of 2

Dahasolnce [82]

Answer:

20/7 or 2 6/7 in³

Step-by-step explanation:

Volume of a rectangular prism:

length × width × height

= 2 × 2/7 × 5

= 20/7 or 2 6/7 in³

5 0

3 years ago

Transform the given parametric equations into rectangular form. Then identify the conic. x= 5cos(t) y= 2sin(t)

worty [1.4K]

Answer:

Solution : Option D

Step-by-step explanation:

The first thing we want to do here is isolate the cos(t) and sin(t) for both the equations --- ( 1 )

x = 5cos(t) ⇒ x / 5 = cos(t)

y = 2sin(t) ⇒ y / 2 = sin(t)

Let's square both equations now. Remember that cos²t + sin²t = 1. Therefore, we can now add both equations after squaring them --- ( 2 )

( x / 5 )² = cos²(t)

+ ( y / 2 )² = sin²(t)

_____________

x² / 25 + y² / 4 = 1

Remember that addition indicates that the conic will be an ellipse. Therefore your solution is option d.

4 0

3 years ago

Jury Duty Three people are randomly selected from voter registration and driving records to report for jury duty. The gender of

Georgia [21]

Answer:

(a) The experiment defined here is a random variable that includes the selecting of 3 people from the set of voter registration and driving records.

(b) The simple events in sample space, S = (M, M, M), (M, F, M), (M, M, F), (F, M, M), (F, M, F), (F, F, M), (M, F, F), and (F, F, F).

(c) If each person is just as likely to be a man as a woman, then the probability for each of the simple event can be assigned as $0.5 \times 0.5 \times 0.5 = 0.125$ .

(d) The probability that only one of the three is a man is 0.375.

(e) The probability that all three are women is 0.125.

Step-by-step explanation:

We are given that three people are randomly selected from voter registration and driving records to report for jury duty. The gender of each person is noted by the county clerk.

(a) The experiment defined here is a random variable that includes the selecting of 3 people from the set of voter registration and driving records.

(b) As we know that the gender of each person is noted by the county clerk, which means one is male and another female.

<u>So, the simple events in sample space, S</u> = (M, M, M), (M, F, M), (M, M, F), (F, M, M), (F, M, F), (F, F, M), (M, F, F), and (F, F, F).

Here, M is denoted for male and F for female.

(c) If each person is just as likely to be a man as a woman, then the probability for each of the simple event can be assigned as $0.5 \times 0.5 \times 0.5 = 0.125$ .

Because there is 50-50 chance of selecting males or females.

(d) The probability that only one of the three is a man is given by;

The total cases in the sample space = 8

Number of cases of only one man out of three = 3

So, the required probability = $\frac{3}{8}$ = 0.375.

(e) The probability that all three are women is given by;

The total cases in the sample space = 8

Number of cases of all three are women = 1

So, the required probability = $\frac{1}{8}$ = 0.125.

4 0

3 years ago