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3 years ago

Solve the inequality: 3(k + 2) -3 < 15

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

k < 4

Interval Notation:

(−∞, 4)

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An architect planned to construct two similar stone pyramid structures in a

Vinil7 [7]

Answer:

C. Change the length to side CB to 8 feet

Step-by-step explanation:

<u>Corresponding sides of similar triangles should have same ratio:</u>

PR/AC = PQ/AB = RQ/CB
7.5/6 = 5/4 = 10/CB
10/CB = 1.25
CB = 10/1.25
CB = 8 feet

Correct choice is C

8 0

2 years ago

Read 2 more answers

The weight of gemstones, such as diamonds, rubies, and emeralds, is measured in carats. A carat is a unit of measure equal to 20

Alexxx [7]

We are told in the question that 1 carat is equal to 200 mg.

The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

$\frac{200mg}{1 carat}* \frac{44.5 carats}{1}=8,900 mg$

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

$\frac{8,900mg}{1000}=8.9grams$

Now we know that the weight of the Hope Diamond is equal to 8.9 grams.

8 0

3 years ago

Help me find surface area of this shape

lozanna [386]

The triangle <span>pyramid</span> is made up of 4 triangles.

------------------------------------
Formula:
------------------------------------
Area of triangle = 1/2 x base x height

------------------------------------
Area of the bottom triangle:
------------------------------------
Area = 1/2 x 9 x 7.8
Area = 35.1 yd²

------------------------------------
Area of the 3 side triangles:
------------------------------------
Area = 3 [ 1/2 x 9 x 10 ]
Area = 135 yd²

------------------------------------
Total Area:
------------------------------------
Total Area = 135 + 35.1
Total Area = 170.1 yd²

------------------------------------------------------------------------
Answer: Surface Area = 170.1 yd².
------------------------------------------------------------------------

4 0

3 years ago

Which is the sum of 3.15 × 107 + 9.3 × 106? Write your answer in scientific notation.

BartSMP [9]

Answer:

Scientific Notation:

1.32285 × 10^3

E-Notation:

1.32285e3

Engineering Notation:

1.32285 × 10^3

Real Number:

1322.85

Step-by-step explanation:

7 0

3 years ago

Write an equation of the line with a slope of −1/2 and a y-intercept of 1.

masha68 [24]

Answer:

y=-1/2x+1

Step-by-step explanation:

y=mx+b

5 0

3 years ago