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Contact [7]
3 years ago
11

What is the range of possible values for x? I know the greater than values, but how do you find the less than values?

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

D. 10 < x < 43

Step-by-step explanation:

4x+8 must be greater than 48, but less than 180.

48 < 4x + 8 < 180

40 < 4x < 172

10 < x < 43

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Consider the problem 208.4 x 396.51. If I round 208.4 down to the nearest hundreds place and I round 396.51 up to the nearest hu
WARRIOR [948]

Answer:

The answer is 82,472

Step-by-step explanation:

The nearest estimate of 208.4=208.

The nearest estimate of 396.51 is 396.5

So the product is 82,472

6 0
2 years ago
Seven times a number is 5600. what is the number?
Vika [28.1K]
To do this you need to work backwards. if you note the number as 'n' you can put
 7n = 5600
to find n you simply divide both sides by 7 getting
n = 5600/7 
n = 800
5 0
3 years ago
Read 2 more answers
a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar
Margarita [4]
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
(and the lateral edges of the pyramid are also equal to each other)

Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

The lateral faces are equilateral triangles of side length x.

The lateral surface area is 72 cm^2, thus the area of one face is 72/4=36/2=18  cm^2.

now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem: 

h= \sqrt{ x^{2} - (x/2)^{2}}= \sqrt{ x^{2}- x^{2}/4}= \sqrt{3x^2/4}= \frac{ \sqrt{3} }{2}x

thus, 

Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2

thus:

x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\  \sqrt{3} }{3}=24 \sqrt{3}       (cm^2)

but x^{2} is exactly the base area, since the base is a square of sidelength = x cm.


So, the total surface area = base area + lateral area =  24 \sqrt{3}+72   cm^2


Answer: 24 \sqrt{3}+72   cm^2

4 0
3 years ago
Juan will spend $28 on gifts. So far, he has spent 16. What are the possible additional amounts he will spend?
harina [27]

Answer:

16

Step-by-step explanation:

because juan is spend 28 on gift and he added a 16 .

7 0
2 years ago
Plz help.......................
True [87]
Let's use the slope intercept form of a line which is:

y=mx+b where m=slope and b=y-intercept.

Mathematically m=(y2-y1)/(x2-x1) and the y-intercept is just the value of y when x is equal to zero, where the line intercepts the y axis...

First you want to find the slope by finding two clearly identifiable points on the graph...I'll pick (4,4) and (0,1), now we can calculate the slope or "m"...

m=(4-1)/(4-0)=3/4 so now we can say our line is:

y=0.75x+b, using point (4,4) we can now solve for b.

4=0.75(4)+b

4=3+b

b=1 so the line is"

y=0.75x+1
4 0
3 years ago
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