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3 years ago

What is a solid figure with two parallel congruent bases joined by a rectangular faces is a?

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

I want to say either rectangular prisim or triangle pyrimad

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Law of cosines <br><br> HELP MES

Lorico [155]

Answer:

70.52 degrees

Step-by-step explanation:

To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that

XY = 5+4 = 9 CM

XZ = 6+5 = 11 CM

ZY = 4+6 = 10 CM

Now we can apply the cosine rule

$C\:=\:\sqrt{A^2+B^2-2ABcosx}$

We need to rearrange the rule to solve for x, our missing angle

$x\:=\:cos^{-1}\left(\frac{a^2+b^2-c^2}{2ab}\right)$

solving for our unknown angle:

$x\:=\:cos^{-1}\left(\frac{9^2+10^2-11^2}{2\cdot 9\cdot 10}\right)$

$x\:=\:70.52^{\circ }$

Therefore angle YXZ is 70.52 degrees

7 0

3 years ago

What the y-intercept of (8,0) and (3,7)

Anettt [7]

Answer:

$\sf \bf y - intercept = \dfrac{56}{5}$

Step-by-step explanation:

Y-intercept:

(8,0) ; x₁ = 8 & y₁ = 0

(3,7) ; x₂= 3 & y₂ = 7

First find the slope of the line.

$\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}$

$\sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}$

slope y-intercept form of the line: y = mx + b

Substitute the slope and x and y in the above equation. We can choose anyone of the given points.

$0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}$

3 0

1 year ago

Tucker has 5 pennies 6 dimes and 5 quarters what is the ratio of pennies to total coins?

dimulka [17.4K]

Answer:

5 : 16

Step-by-step explanation:

Tucker has a total of 5 + 6 + 5 = 16 coins. The ratio of 5 pennies to that total is ...

pennies : total coins = 5 : 16

3 0

3 years ago

7800 nm + 95 pm in scientific notation

azamat

$7800 nm+95pm=7800* 10^{-9} +95* 10^{-12}$
$=7800000* x^{-12} +95* 10^{-12} =7800095* 10^{-12} =7.800095* 10^{-6}$

3 0

3 years ago

Find the right quotient. 36m 5 n 5 ÷ (12m 3)

polet [3.4K]

ANSWER

The right quotient is

$3 {m}^{2} {n}^{5}$

EXPLANATION

The given expression is :

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} }$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = \frac{36}{12} \times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3\times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

Recall that,

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
We apply this property to obtain;

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 \times {m}^{5 - 3} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 {m}^{2} {n}^{5}$

5 0

2 years ago

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