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Rama09 [41]
3 years ago
6

a cube is dilated by a scale factor of 3/4 to create a new cube. what is the surface area of the new cube.

Mathematics
2 answers:
jeka57 [31]3 years ago
7 0

Answer:

9/16

Step-by-step explanation:

i took the test ;)

leonid [27]3 years ago
6 0

Answer: 9/16

Step-by-step explanation:

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Altitudes AA1 and BB1 are drawn in acute △ABC. Prove that A1C·BC=B1C·AC
Sophie [7]

Answer:

See the attached figure which represents the problem.

As shown, AA₁ and BB₁ are the altitudes in acute △ABC.

△AA₁C is a right triangle at A₁

So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)

△BB₁C is a right triangle at B₁

So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)

From (1) and  (2)

∴  A₁C/AC = B₁C/BC

using scissors method

∴ A₁C · BC = B₁C · AC

7 0
3 years ago
ONE HUNDRED POINTS
Over [174]

Answer:

See Below.

Step-by-step explanation:

We are given that ∠A = ∠D, and we want to prove that ΔACB ~ ΔDCE.

Statements:                                    Reasons:

1) \text{ $\angle A=\angle D$}                                    \text{Given}

2) \text{ }\angle BCA=\angle ECD                        \text{Vertical Angles Are Congruent}

3) \text{ } \Delta ACB \sim \Delta DCE                        \text{AA (Angle-Angle) Similarity}

5 0
3 years ago
Read 2 more answers
A bottle of orange juice contains 750 mg of vitamin C and has 6 servings. A bottle of
Llana [10]

Answer:

The bottle of orange juice will have higher amounts of vitamin C per serving, as it will have 125 mg against 90 mg of the cranberry juice.

Step-by-step explanation:

To determine the amount of vitamin C in each serving of fruit juice, knowing that the bottle of orange juice contains 750 mg of vitamin C and 6 servings, while the bottle of cranberry juice contains 135 mg and 1.5 servings, you must perform the following calculation:

Orange: 750/6

Orange: 125 mg per serving

Cranberry: 135 / 1.5

Cranberry: 90 mg per serving

Thus, the bottle of orange juice will have higher amounts of vitamin C per serving, as it will have 125 mg against 90 mg of the cranberry juice.

4 0
3 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying all
dmitriy555 [2]

Answer:

Brainliest!

Step-by-step explanation:

slope intercept form is in: y = mx + b

12y = -8x + 48

y = (-8x+48)/12

y = -2/3x+4

3 0
2 years ago
1. The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes th
worty [1.4K]
1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split        ; x + 8 = 28 + 8 = 36 sundaes

2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2   number of toppings.

6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60

3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3

y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14

6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4



6 0
3 years ago
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