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djyliett [7]
3 years ago
7

A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

Answer

7 is the correct answer.

Step-by-step explanation:

4 x 3.5 = 14

14 divided 2  or 1/2 the base is 7

You might be interested in
What is -2 3/4 divided by -1 1/2
Travka [436]

Exact Form:

−11/6

Decimal Form:

−1.83

Mixed Number Form:

−1 5/6

6 0
3 years ago
You know that your bill before tax is $52.60 and that sales tax rate is 8%. You decide to leave a 20% tip for the waiter. How mu
timofeeve [1]

Answer:

$10.52 tip should be given to the waiter.. The total bill including tax is $67.33

Step-by-step explanation:

We are given the following in the question:

Pre-tax amount = $52.60

Tip percentage = 20%

Tax percentage = 8$

Tip value =

20\% \times 52.60\\\\=\dfrac{20}{100}\times 52.60\\\\=10.52\$

Thus, $10.52 tip should be given to the waiter.

Tax value =

8\% \times 52.60\\\\=\dfrac{8}{100}\times 52.60\\\\=4.21\$

Total bill =

Pre tax amount + Tip + Tax

=52.60 + 10.52 + 4.21\\=67.33

Thus, the total bill including tax is $67.33

4 0
3 years ago
The weights of cars passing over a bridge has a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of t
elena-s [515]

Step-by-step explanation:

Note: Question does not indicate if probability required is for weight to exceed or below 3000 lbs.  So choose appropriate answer accordingly (near the end)

Using the usual notations and formulas,

mean, mu = 3550

standard deviation, sigma = 870

Observed value, X = 3000

We calculate

Z = (X-mu)/sigma = (3000-3550)/870 = -0.6321839

Probability of weight below 3000 lbs

= P(X<3000) = P(z<Z) = P(z<-0.6321839) = 0.2636334

Answer:

Probability that a car randomly selected is less than 3000

= P(X<3000) = 0.2636 (to 4 decimals)

Probability that a car randomly selected is greater than 3000

= 1 - P(X<3000) = 1 - 0.2636 (to 4 decimals) = 0.7364 (to 4 decimals)

5 0
3 years ago
Read 2 more answers
Factor f(x)=x4+x3-20x2.
Leya [2.2K]

Hello from MrBillDoesMath!

Answer:

-5, 0 (multiplicity 2), +4


Discussion:

Let f(x) = x^4 + x ^3 - 20 x^2

Factor x^2 from each term:

f(x) = x^2 ( x^2 + x - 20) = x^2 ( x +5) (x-4)

f = 0 when x = 0 (multiplicity 2) and x = -5 or x = 4



Regards,  

MrB


7 0
3 years ago
The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13
Aloiza [94]

Answer: 283 cm2

Step-by-step explanation:

The formula for finding the surface area of a cone is:

A=\pi r(r+\sqrt{h2+r2}) Where r is the radius and h is the height.

Replacing: \pi 5(5+\sqrt{(12)2+(5)2}

Solving: 282,7 ≈ 283cm2

5 0
3 years ago
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