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Molodets [167]
3 years ago
5

If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

Mathematics
1 answer:
disa [49]3 years ago
5 0
30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2
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A point is translated 2 units right and 5 units down on the coordinate plane. How will this affect the x- and y-coordinates of t
Artyom0805 [142]

Answer: The x coordinate will increase by 2 while the y coordinate will decrease by 5

Step-by-step explanation: Think about it, going right means increase, become greater while going down means negative or decrease

4 0
3 years ago
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What are the factors of -16 ?
RoseWind [281]

Answer:

-1,16 -2/8 -4/4 and the negatives on the other side. I hope that helps

Step-by-step explanation:

3 0
3 years ago
two blocks of wood are shaped as right rectangular prism the smaller block has a length of 9 cm and a width of 3 cm and a height
AlexFokin [52]

Answer:

1512 cm³

Step-by-step explanation:

Formula

Volume of right rectangular prism = Length × Breadth × Height

As given

Two blocks of wood are shaped as right rectangular prisms.

The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.

As given

The dimensions of the larger block are double the dimensions of the smaller block.

Length of the larger block = 2 × Length of the smaller block

                                           = 2 × 9

                                           = 18 cm

Breadth of the larger block = 2 × Breadth of the smaller block

                                           = 2 × 3

                                           = 6 cm

Height of the larger block = 2 × Height of the smaller block

                                           = 2 × 7

                                           = 14 cm

Put in the formula

Volume of larger wooden block = 18 × 6 × 14

                                                    = 1512 cm³

Therefore the volume of the wooden block is 1512 cm³ .

7 0
3 years ago
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The lengths of two sides of a triangle are 7.8 cm and 5.6 cm. Between what two measures should the length of the third side fall
zloy xaker [14]

Hello! To draw a triangle, first, we have to follow a condition of existence.

This rule is:

• one of the sides must be ,bigger, ,than the absolute value, of the ,difference between the other two, sides

• the unknown side must be ,smaller ,than the ,sum of the other, two sides.

Let's write these rules using a, b, and c for the sides:

Considering a = 7.8 and b = 5.6:

[tex]\begin{gathered} |a-b|So, the third side must be smaller than 13.4 and bigger than 2.2.

8 0
1 year ago
The isotope samarium-151 decays into europium-151, with a half-life of around 96.6 years. A rock contains 5 grams of samarium-15
Zigmanuir [339]

Answer:

See explanation

Step-by-step explanation:

Mass of  samarium-151  originally present (No) = 5 g

Mass of  samarium-151 discovered (N) = 0.625 grams

time taken = ?

half life of samarium-151 (t1/2) = 96.6 years

From

N/No = (1/2)^t/t1/2

0.625/5 = (1/2)^t/96

0.125 = (1/2)^t/96

1/8 = (1/2)^t/96

(1/2)^3 = (1/2)^t/96

3 = t/96

t = 3 * 96

t = 288 years

The mass of europium-151 when the rock was discovered is obtained from;

Fraction of  samarium-151  left = 1/8

Fraction of  europium-151 formed = 1 - 1/8 = 7/8

Mass of  europium-151 = 7/8 * 5 = 4.375 g

6 0
3 years ago
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