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alexandr1967 [171]
4 years ago
12

Jack earned $972 in 6 years on an investment at a 3% annual simple interest rate. How much was Jack’s investment?

Mathematics
1 answer:
Tanya [424]4 years ago
8 0

Answer:

the answer would be $5400

Step-by-step explanation:

5400 times .03 = 162, 162 times 6=972

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In the diagram, AD=CD=CB and measure of angle A=40°. How many degrees are in angle DCB?​
Ad libitum [116K]

Answer:

20^{\circ}

Step-by-step explanation:

Consider triangle ACD. This triangle is isosceles triangle, because AD = DC. Angles adjacent to the base AC are congruent abgles, so

m\angle DAC=m\angle DCA=40^{\circ}

The sum of the measures of all interiror angles in the triangle is always 180^{\circ}, then

m\angle DAC+m\angle DCA+m\angle ADC=180^{\circ}\\ \\40^{\circ}+40^{\circ}+m\angle ADC=180^{\circ}\\ \\m\angle ADC=180^{\circ}-40^{\circ}-40^{\circ}=100^{\circ}

Angles ADC and BDC are supplementary angles (add up to 180^{\circ}), then

m\angle BDC=180^{\circ}-100^{\circ}=80^{\circ}

Consider triangle BCD. This triangle is isosceles triangle because BC = DC. Angles adjacent to the base BD are congruent abgles, so

m\angle BDC=m\angle DBC=80^{\circ}

The sum of the measures of all interiror angles in the triangle is always 180^{\circ}, then

m\angle DBC+m\angle BDC+m\angle BCD=180^{\circ}\\ \\80^{\circ}+80^{\circ}+m\angle BCD=180^{\circ}\\ \\m\angle BCD=180^{\circ}-80^{\circ}-80^{\circ}=20^{\circ}

6 0
3 years ago
What is the area of a piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide? Give your answer in square inches
Kruka [31]

Given

piece of plywood measuring 2 feet 8 inches long by 2 feet 4 inches wide.

What is the area of a piece of plywood .

To proof

Here plywood shape in the form of rectangle.

Formula

Area of rectangle = Length×Breadth

As given in the question

Length =2 feet 8 inches

Breadth = 2 feet 4 inches

First convert feet into inches

1 feet = 12 inches

2 feet 8 inches = 2×12 + 8

                       =  32 inches

Also

2 feet 4 inches  = 2×12 +4

                          = 28 inches

put is in the above formula

Area of plywood = 32 ×28

                            = 896 inches²

Therefore option (b) is correct

Hence proved


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Answer:

try checking the questions again and put in more detail

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