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2 years ago

What is the volume of the triangular prism?

Mathematics

2 answers:

denis-greek [22]2 years ago

8 0

Answer:

Step-by-step explanation:

nekit [7.7K]2 years ago

3 0

12 if not just look it up on quiz lit and you’ll get it it’s on safari or use scan and solve

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Graph<br>f(x) = 3 |x| + 9

Anastaziya [24]

Answer:

see graph

Step-by-step explanation:

to find points on the graph, enter in x values and find y.

3|-4|+9 = 21 (-4, 21)

3|2|+9 = 15 (2, 15

6 0

3 years ago

Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment

Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid = $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

$P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}$

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

$P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}$

$\approx \$ 1391.37$

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0

3 years ago

Which expression is equivalent to (sqrt3 + i)^3?

Anarel [89]

Express √3 + i in polar form:

|√3 + i| = √((√3)² + 1²) = √4 = 2

arg(√3 + i) = arctan(1/√3) = π/6

Then

√3 + i = 2 (cos(π/6) + i sin(π/6))

By DeMoivre's theorem,

(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³

… = 2³ (cos(3 • π/6) + i sin(3 • π/6))

… = 8 (cos(π/2) + i sin(π/2))

… = 8i

4 0

2 years ago

A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

4vir4ik [10]

Check the picture below.

neverminding for a few seconds the volume of the cylinder, the percentage in the height used by the water will be the same as the percentage of its volume. We know the total amount or 100% of the height is 14, so what is 11 in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 14&100\\ 11&x \end{array}\implies \cfrac{14}{11}=\cfrac{100}{x}\implies 14x=1100 \\\\\\ x = \cfrac{1100}{14}\implies x = \cfrac{550}{7}\implies \boxed{x \approx 78.6}$

7 0

2 years ago

What is 1/9 of a quart

Agata [3.3K]

Im guessing by my predicition that it will be 0.11 that will continue

7 0

3 years ago