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il63 [147K]
2 years ago
8

What is the volume of the prism pls help

Mathematics
1 answer:
valkas [14]2 years ago
8 0

Answer:

I would say 42 but some of the image is cut off so I may be wrong:))

Step-by-step explanation:

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Find the angle of XYZ give your answer to 1 decimal place
miskamm [114]

Answer:

66.4°

Step-by-step explanation:

To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.

Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:

\frac{sin(Z)}{XY}=\frac{sin(X)}{YZ}\\\\Substituting:\\\\\frac{sin(Z)}{6} =\frac{sin(90)}{15}   \\\\sin(Z)=\frac{sin(90)*6}{15}\\\\sin(Z)=0.4\\\\Z=sin^{-1}(0.4)\\\\Z=23.6^o

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

90 + ∠Y + 23.6 = 180

113.6 + ∠Y = 180

∠Y = 180 - 113.6

∠Y = 66.4°

∠Y = ∠XYZ = 66.4°

3 0
3 years ago
Quadrilaterals-what are all other names for quadrilateral parallelograms
iren2701 [21]
Square
Rectangle
Rhombus
Trapezoid
Kite
They all have a four sides
5 0
2 years ago
8x + y = 9 <br> Convert the following equations to standard form
Citrus2011 [14]

Answer:

x=1/8y+9/8    

y=<u>y=−8x+9</u>

Step-by-step explanation:

<u>Let's solve for y.</u>

<u>8x+y=9</u>

<u>Step 1: Add -8x to both sides.</u>

<u>8x+y+−8x=9+−8x</u>

<u>y=−8x+9</u>

<u />

<u>Let's solve for x.</u>

<u>8x+y=9</u>

<u>Step 1: Add -y to both sides.</u>

<u>8x+y+−y=9+−y</u>

<u>8x=−y+9</u>

<u>Step 2: Divide both sides by 8.</u>

<u>8x/8=−y+9/8</u>

<u>x=−1/8y+9/8</u>

<u />

<u />

5 0
3 years ago
Multiply and simplify the following expression -4√15 x(-√3)
larisa [96]

Answer:

\large\boxed{12\sqrt5}

Step-by-step explanation:

\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5

6 0
3 years ago
Every quadrilateral with opposite angles supplementary can be inscribed in a circle.TrueFalseIf a triangle is inscribed in a cir
solniwko [45]

Explanation

The Inscribed Quadrilateral Theorem states that a quadrilateral can be inscribed in a circle if and only if the opposite angles of the quadrilateral are supplementary

Answer 1: True

Also, Given a triangle, the circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet.

Answer 2: True

7 0
1 year ago
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