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3 years ago

Help i need to finish it today And can you explain the steps so i wont need help next time or if you don’t want to its okay :)

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Answer:

110 feet

Step-by-step explanation:

The formula to find the area of a rectangular prism is A = 2 (wl + hl + hw)

Substitute the values:

A = 2 (5x5 + 3x5 + 3x5)

A = 2 (25 + 15 + 15)

A = 2 (55)

A = 110

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Please Help Math Problem

olasank [31]

In similar triangles the angles equal each other an din this case

7 0

4 years ago

Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0

3 years ago

At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the

Westkost [7]

Answer:

4/15

Step-by-step explanation:

2/3 play sports

2/5 play football

Of the 2/3 that play sports, 2/5 of them play football

2/3(2/5) = 4/15

8 0

3 years ago

There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry

lorasvet [3.4K]

Answer:

7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

Combination of 15 strawberry juices chosen in two:

$C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105$

The total number of possible outcomes is:

Combination of 25 juices chosen in two:

$C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300$

Thus, the probability of randomly picking two strawberry juices is:

P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

$15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20$

5 0

3 years ago

Please help!?

Alex787 [66]

Answer:

x=63.25

Step-by-step explanation:

Hi there!

We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x

we need to find the value of x

Let's use trigonometry to do it

Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle

Recall that tangent is $\frac{opposite}{adjacent}$

in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)

so tan(49)= $\frac{x}{55}$

plug tan(49) into your calculator; remember to have the calculator on degree mode

tan(49)≈1.15 (rounded to the nearest hundredth)

so that means:

1.15= $\frac{x}{55}$

multiply both sides by 55 to clear the fraction

63.25=x

Hope this helps!

5 0

3 years ago