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sdas [7]
3 years ago
6

Jose’s monthly salary is $3400. It’s 25% of his income is set aside for income taxes and 10% is set aside for savings then Jose

has $1190 left over to spend each month. true or false
Mathematics
1 answer:
Sladkaya [172]3 years ago
7 0

Answer:

True

Step-by-step explanation:

3400 (.35)= 1190

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Here is a triangular pyramid and its net.
bazaltina [42]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

3 0
3 years ago
What is the greatest common factor of 7, 4, and 39?
ahrayia [7]

Answer:

1

Step-by-step explanation:

6 0
2 years ago
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When Joseph finished packing his backpack, it had a mass of 5 kilograms. What was the mass of the backpack in grams
worty [1.4K]
There is 1000 grams in a kilogram so he had a mass of 5,000 grames in his bag
7 0
3 years ago
Select the correct answer.
egoroff_w [7]

Answer:

B

Step-by-step explanation:

I've taken a picture of the way I solved it.

8 0
3 years ago
I need some help with this.
zepelin [54]

The domain is the left side of the table, which is (x)

Range is the right side which is (y)

Your answer is B

4 0
3 years ago
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