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3 years ago

What is the length of the other diagonal DF? 5 cm 16 cm 21 cm 32 cm

Mathematics

2 answers:

PolarNik [594]3 years ago

4 0

Answer:

21 cm

Step-by-step explanation:

frez [133]3 years ago

3 0

To solve this you need to know Pythagorean theorem.

First, EG is 24, so the halfway points are 12. Knowing Pythagorean triples, you can use 5,12,13 and 12,16,20.

DF = 5+16
DF = 21

If you don't know Pythagorean triples, I have worked it out on the image attached.

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a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?

Bond [772]

Answer:

48 yr. old

Step-by-step explanation:

Assume daughter is 4 and mom is 10 times her age, so mom is 40.

10 (woman) * 4 (daughter's age) = 40 yr. old mom

Present day...

40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today

4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today

So, if mom is 4 times as her daughter's age today...

48 (yr. old mom) / 12 (yr. old daughter) = 4

5 0

2 years ago

The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base

telo118 [61]

Answer:

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

6 0

2 years ago

(9x³+5)/(2x - 3)<br> How do I divide these using long division

Bezzdna [24]

(9x³+5)/(2x - 3)

split up (9x³+5)

9x³/2x-3 + 5/2x-3

attached solution.

4 0

2 years ago

Identify which of these designs is most appropriate for the given experiment: completely randomized design, randomized block

Ksju [112]

Answer:

Completely Randomized Design

Step-by-step explanation:

In a completely randomized design, the samples are randomly assigned to the treatment without creating any blocks or groups.

Like here, in the given scenario, we do not have to divide subjects in two groups as they are all same.

Whereas, in a randomized block design, the participants are divided into subgroups in a way, that the variability within the blocks is less than the variability between blocks.

After dividing, the participants within each block are randomly assigned to treatment conditions.

Hence, the completely randomized design is used here.

5 0

3 years ago

When the angle of elevation of the sun is 70 degrees,a telephone pole that is tilted at an angle of 8 degreesdirectly away from

Evgesh-ka [11]

Answer:

The length of the pole to the nearest feet = 36 ft

Step-by-step explanation:

Let the length of the pole be L

The image of this question is attached to this solution.

From the image,

The two other angles in the triangle formed by the stick, its shadow and the line of angle of elevation can be found.

The first angle to the right of angle of elevation = 90° - 8° = 82°

And the third angle can be found, using the sum of angles in a triangle.

Sum of angles in a triangle = 180°

The third angle = 180° - (70° + 82°) = 28°

Using the sine rule, we can then obtain the length of the pole.

Sine rule

(a/sin A) = (b/sin B) = (c/sin C)

For our question

(L/sin 70°) = (18/sin 28°)

L = (18 × sin 70°)/(sin 28°)

L = 36.03 ft = 36 ft

3 0

3 years ago