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miskamm [114]
3 years ago
5

Jorge is asked to build a box in the shape of a rectangular prism. Its height will be 2 cm more than its width. The sum of the l

ength, width, and height is 20 cm. Use a graphing calculator to find the width, rounded to the nearest tenth of a cm, that will give Jorge’s box the largest possible volume.
A 2.7 cm

B 5.7 cm

C 6.0 cm

D 9.0 cm
Mathematics
1 answer:
Rasek [7]3 years ago
4 0

Answer:

9

Step-by-step explanation:

h=x+2

w=x

h+w=20

x+x+2=20

2x=18

x=9

w=x=9

width = 9

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Let f(x) =x+5 and g(x)=x^2-3 then f(g(x)) =?
guajiro [1.7K]

Answer:

Option (a) is true.

Step-by-step explanation:

Given the function

f(x)=x+5

g\left(x\right)=x^2-3

(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5

                                      = x² + 2

Thus,

f(g(x)) = x² + 2

Therefore, option (a) is true.

6 0
3 years ago
Find the measures of all of the angles.
irga5000 [103]

Answer:

a:

1. ABC = 60°

2. BCA = 90°

3. CAB = 30°

b:

XVR = WVS = 125°

RVS = 55°

RST = VSU = 110°

RSV = UST= 70°

TUS = 39°

Step-by-step explanation:

a:

According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :

90+5x+9x+6=180

14x=84

x=6

Then we have : ABC = 9(6)+6 =60

CBA = 5(6)=30

b :

Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.

8 0
2 years ago
Cost to store: $140
MrRa [10]

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175

8 0
3 years ago
If two distinct planes intersect , then their intersection is a line . Which geometry term does the statement represent
Rom4ik [11]

Answer:

POSTULATE

Step-by-step explanation:

<em>A postulate is a statement that is assumed true without proof. A theorem is a true statement that can be proven </em>

<em> </em>

<em>  </em>

<em> </em>

<em>In geometry, the theorem is considered valid or correct with which its assertion is practically not refuted by almost anyone, whether it is really true or not. </em>

<em> </em>

<em>  </em>

<em> </em>

<em>This, in practice, implies that all students of the subject share the same criteria on the theory. Thus, the postulates, in short, have the following characteristics: </em>

<em> </em>

<em>  They are presumed true by most of the scholars in the field. </em>

<em> </em>

<em>Its contradiction goes against the very essence of the subject. </em>

<em> </em>

<em>Postulate 6: If two planes intersect, then their intersection is a line.</em>

<em />

<em>See Attachment for Details ^^</em>

<em>The image attached  represents the statement given in the question (If two distinct planes intersect, then their intersection is a line)</em>

<em>Therefore</em><em>, </em>

<em> </em>

<em>The Geometry term that represents the statement above is POSTULATE</em>

5 0
3 years ago
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4
Archy [21]

Answer:

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

Step-by-step explanation:

Sam's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.

Bruno's calculation:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.

1 kilometer = 0.621 miles.

Bruno is correct. When going from a larger unit to a smaller unit you need to divide

We will divide a larger value by a smaller value to get the smaller units

5 0
3 years ago
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