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ludmilkaskok [199]
1 year ago
10

Horizontal plane A and vertical plane B intersect at a line. Line n is vertical on plane B and forms a right angle with horizont

al line m on plane A. Line l is diagonal on plane A. Are the lines in the diagram perpendicular, parallel, skew, or none of these? l and m: l and n: m and n:
Mathematics
2 answers:
Greeley [361]1 year ago
5 0

Answer:

L and M - None of these

L and N - Skew

M and N - Perpendicular

Step-by-step explanation:

Mars2501 [29]1 year ago
3 0

Question:

Are the lines in the diagram perpendicular, parallel, skew, or none of these?

Answer:

l and m:

<em>none of these</em>

l and n:

<em>skew</em>

m and n:

<em>perpendicular</em>

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What are the solutions of the quadratic equation 40-x^2=0
Nataliya [291]
Use the quadratic formula to find the solutions:<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a       </span></span></span>Substitute the values:
<span><span>a=−1</span><span>a=-1</span></span>,   <span><span>b=0</span><span>b=0</span></span>,   and <span><span>c=40</span><span>c=40 </span></span> into the quadratic formula and solve for <span>x                 </span><span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1 </span></span></span>Simplify:
<span><span>x=±2<span>√10</span></span><span>x=±210    </span></span>The result can be shown in both exact and approximate form: <span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555
<em />I hope this helps. :)
</span></span>
3 0
1 year ago
Read 2 more answers
Triangle OMG has vertices at O(−3,3), M(4,2), and G(−3,1). Point G is rotated 90° counterclockwise around the origin, forming G'
Irina18 [472]

Answer:

O'(-3,-3) M'(-2,4) G'(-1-3)

Step-by-step explanation:

Rule: rotation of (x,y) counterclockwise around the origin gives (-y,x)

Thus

O(-3,3) will be O'(-3,-3)

M(4,2) will be M'(-2,4)

G(-3,1) will be G'(-1,-3)

Therefore O'(-3,-3),M'(-2,4) and G'(-1,-3) would be the answer.

3 0
2 years ago
In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi
Minchanka [31]
The picture in the attached figure

we know that
Area of circle=pi*r²
area of the shaded region=364*pi cm²
area of the shaded region=area of the outer circle -area of the<span> inside circle

</span>area of the outer circle=pi*[2x]²----> 4*x²*pi cm²
area of the inside circle=pi*6²------> 36*pi cm²
364*pi=4*x²*pi-36*pi------> 364=4*x²-36
4*x²=364+36-----> 4*x²=400
x²=400/4----> x²=100
x=10 cm

the answer is
x=10 cm

4 0
1 year ago
A series contains 18 numbers and has a sum of 4,185. The last number of the series is 275. What is the first number?
dusya [7]
The sum of arithmetic series is given by:
Sn=n/2(a1+an)
where:
n=number of terms
a1=first term
an=nth term
but
n=18, an=275, Sn=4185
plugging the values in the formula we get:
4185=18/2(a1+275)
simplifying this we get:
4185=9(a1+275)
dividing through by 9 we get:
465=a1+275
thus
a1=465-275
a1=190

Answer: first number is 190
3 0
2 years ago
Marcie wants to enclose her yard with a fence. Her yard is in the shape of a rectangle attached to a triangle. The formula for t
nydimaria [60]

Let

l------> the length side of the rectangle

w----> the width side of a rectangle

b----> the base of the triangle

h----> the height of the triangle

we know that

the area of the yard is equal to

A=lw+0.5bh

Solve for b------> ( that means clear variable b)

Subtract lw both sides

A-lw=lw+0.5bh-lw

A-lw=0.5bh

Divide by 0.5h both sides

(A-lw)/(0.5h)=0.5bh/(0.5h)

b=(A-lw)/(0.5h)

therefore

<u>the answer is the option B</u>

The quantity A minus l times w all divided by 0.5 times h


8 0
2 years ago
Read 2 more answers
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