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Lena [83]
4 years ago
8

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches What is the height of the tr

iangular base of the pyramid
Mathematics
2 answers:
dexar [7]4 years ago
8 0
The answer is 9 sq root of 3
ExtremeBDS [4]4 years ago
6 0
The height of the triangular base of the pyramid is calculated through the equation,
                                        h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of  x is 30°. Substituting,
                                        h = (cos 30°)(18 in)
                                        h = 15.59 in
Thus, the height of the base is approximately 15.59 inches. 
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A farmer has a bale of hay with a mass of 36 kg. How many milligrams of hay are in the bale?
Roman55 [17]
I got 36000000 . Hope this helps
7 0
3 years ago
Find the slope between the points (2, -10) and (-4, 2).<br> A) 1/4<br> B) -2<br> C) 4<br> D) -1/2
CaHeK987 [17]

Answer:

B) -2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2

8 0
3 years ago
56,927.34 in expanded form
DanielleElmas [232]

Answer:

Step-by-step explanation:

Standard Form:

56,927.34

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

50,000  

+6,000  

+900  

+20  

+7  

+0.3

+0.04

Expanded Factors Form:

 5 ×10,000  

+ 6 ×1,000  

+ 9 ×100  

+ 2 × 0  

+ 7 ×1  

+ 3 ×0.1

+ 4 ×0.01

Expanded Exponential Form:

5 × 104

+ 6 × 103

+ 9 × 102

+ 2 × 101

+ 7 × 100

+ 3 × 10-1

+ 4 × 10-2

5 0
3 years ago
Read 2 more answers
Can i get help? Don’t really understand.
Rufina [12.5K]

First option: correct. This is because angles WOX and XOZ are supplementary, so

m\angle WOX=180^\circ-104^\circ=76^\circ

Second option: correct. By the inscribed angles theorem, we have

m\angle XWZ=m\angle XYZ=\dfrac{113^\circ}2=56.5^\circ

Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.

Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means

\dfrac{m\widehat{WY}+113^\circ}2=104^\circ\implies m\widehat{WY}=95^\circ

Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.

Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have

\dfrac{m\widehat{WX}+m\widehat{YZ}}2=m\angle WOX\implies m\widehat{WX}+m\widehat{YZ}=2\cdot76^\circ=152^\circ

4 0
3 years ago
4 times a number added to -5 is the same as the sum of twice the number and 11. What is the number?
Alexus [3.1K]
Let x = the number you need to find.

4x + (-5) = 2x + 11

You finish.
4 0
4 years ago
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