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Ugo [173]
2 years ago
8

Solve the linear inequality −6x+5>−1

Mathematics
1 answer:
Leto [7]2 years ago
7 0
The answer to this question is:

x<1
You might be interested in
10m/
AlladinOne [14]

Answer:

Answer is D 312m^2

As  D= 8m x 11m = A =88x 3 = 264+ 48 = 312

1/2 x 6 x 8 = 24

This makes triangle base of 6m

triangle side =8m

Rectangle side = 8m

and rectangle length = 11m

Step-by-step explanation:

First finding

A= 6 x 11 = 66m^2 (rectangle area) or 10 x 9 = 90sq^2

A = 1/2 x 6 x 11 = 33  (1/2bh) triangle

33+ 33 + 66 +66 + 66 = 264  or 33+ 33+ 90+90+90 =336

As 336 was not in the answer we do not know what 10m/9m represents, we then see this triangle prism is not a normal shape and its length is same as its height

a) is not in usual proportions.

We try again reversing which makes triangle sides 10m+ base 9m

= 1/2 x 10 x 10 = 50m^2 = triangle face area

we cannot continue the reverse as the triangle sides do not match the rectangle height. We therefore have to use the first answer C 264m^2

As 10m, 9m <do not match >6m 11m 8m

However if the given sizes 10m, 9m = bases of two different rectangles we would calculate 2 faces and add them each to one unknown face being one of the other face sizes we found to make 3.

10 x 8 = 80

9 x 8 = 72

To make one of these SA totals for rectangles alone

=80+80+72=232   or  72+72+80 =224

Then add to the 33 m^2 triangles

= 232+ 33+ 33 =297m^2

= 224+33+33 =310m^2

We can now determine that these measurements represent irregular values and are not answers within multiple choice, however d)  we can state the triangle is regular prism where triangle sides are regular too creating isosceles triangle 6,8,8,

8m x 11m = A =88x 3 = 264+ 48 = 312

1/2 x 6 x 8 = 24

As we have ruled out rectangle with side 8m x 11m + A (33m^2) of triangle would equal 310m^2 (88+88+88+33+33) =330m

And ruled out rectangle with side 8m x 6m= 48m^2 (48+48+48+33+33 =210sqm)

So therefore if triangles were to equal 1/2 x 6 x 8 = 24

24 x 3= 72sqm

add the rectangle amounts above

= 72 + 88+ 88+ 88 =336^2

try another way and we find D. here below.

answer D= 72+ 80+80+80 = 312m^2 this can makes a correct answer D.

As last rule out is;

72 + 72 +72  (+triangle of 72) =288^2 would be irregular as this is equal to (9 x 8) x 3 and then the 11m is not used. It is also not a listed answer. Therefore;  D=312m^2 is correct.

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

3 0
2 years ago
The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?
Leona [35]

Answer:

\large\boxed{V=2304\pi}

Step-by-step explanation:

The formula of a surface area of a sphere:

S.A.=4\pi R^2

R - radius

We have

S.A.=576\pi

Substitute and solve for R:

4\pi R^2=576\pi         <em>divide both sides by π</em>

4R^2=576          <em>divide both sides by 4</em>

R^2=144\to R=\sqrt{144}\\\\R=12

The formula of a volume of a sphere:

V+\dfrac{4}{3}\pi R^3

Substitute:

V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi

3 0
3 years ago
I'm confused can someone help me
Dafna11 [192]

Answer: M∠2 just mean measure of angle 2,

Step-by-step explanation: So I worked it out and the awnser is B.

3 numbers/the degrees of all 3 sides always add up to 180 degrees.

Side 1 is 60 degrees and the left side is 20, so 20 + 60 + 3 (unkown    number) = 180

60 - 20 = 100,

8 0
2 years ago
Jamerra received a $3,000 car loan. She plans on paying off the loan in 2 years. At the end of 2 years, Jamerra will have paid $
Kay [80]

If Jamerra pays $450 simple interest in 2 years,
she will pay (450/2) = $225 simple interest each year.

       225 / 3000 = 0.075  =  7.5 %

6 0
2 years ago
1. find x and y 2. find the measure of each side of LMN
Anna35 [415]

Answer:

X= 3

Y= 18

Each side of the triangle= 10 units

Step-by-step explanation:

LMN is equilateral so

LM = MN

3x+1= 4x-2

3x-4x = -2-1

-x = -3

X= 3

MP is the perpendicular bisector of line LN

so definitely angle lpm =90.

And lpm = 5y = 90

5y = 90

Y= 90/5

Y = 18°

For the side of the triangle

3x+1

But x= 3

3(3)+1

9+1

10

Each side of the triangle= 10 units

8 0
3 years ago
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