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3 years ago

What is the length of the base of a right triangle with an area of 20m2 and the height of 4 m

Mathematics

1 answer:

Eva8 [605]3 years ago

8 0

Answer:

The base is 10 meters

Step-by-step explanation:

The area of a right triangle is (b × h) ÷ 2 = a

Let's input the given values and find the value of b:

(b × 4) ÷ 2 = 20

4b ÷ 2 = 20

2b = 20

b = 10

Check:

(10 × 4) ÷ 2 = 20

40 ÷ 2 = 20

20 = 20

It works!

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You leave a 15% tip on $90. How much money do you leave?

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13 dollars and 50 cents.

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4 years ago

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In the supermarket there is a scale that measures the weight of fruit and vegtsbles. The nedle is 24 cm long and it roatated 96d

Galina-37 [17]

Answer:

The distance of needle cover as it rotate is 0.700688 cm

Step-by-step explanation:

Given as :

The length of the needle = r = 24 cm

The needle is rotated at angle = Ф = 96°

The distance of needle cover as it rotate = length of arc made = l cm

The radius of arc = length of needle = r cm

Now, According to question

The distance of needle cover as it rotate = $\dfrac{\Pi \times radius\times \Theta }{180^{\circ}}$

where , π = 3.14

Or, l = $\dfrac{\Pi \times r\times \Theta }{180^{\circ}}$

Or, I = $\dfrac{3.14 \times 24 cm\times 96^{\circ} }{180^{\circ}}$

Or, l = 75.36 × 0.533°

∵ 180° = 3.14 radian

So, 0.533° = 0.0092978

So, l = 75.36 × 0.0092978

∴ l = 0.700688 cm

So,The distance of needle cover as it rotate = l = 0.700688 cm

Hence, The distance of needle cover as it rotate is 0.700688 cm Answer

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3 years ago

Ronny wants to know how often the average resident of his town eats out. He surveys 45 people as they leave the restaurant. Iden

irinina [24]

Answer:

Ronny would use a bar graph.

Step-by-step explanation:

Using a bar graph would show Ronny exactly how often his residents would eat out.

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3 years ago

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Find all the zeros of the function f(x)=x^3+15x^2+67x+53

Elza [17]

x = 3 x =(-12-√-4)/-2=6+i= 6.0000-1.0000i x =(-12+√-4)/-2=6-i= 6.0000+1.000

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4 years ago

Jenny opened a package of screws quickly and many of them spilled on the floor. She needs to organize the fasteners according to

hichkok12 [17]

We have to compare diameters and arrange them in order smallest to greatest

We can see units for option A and B are in square inches so they represents area. So first we will find diameter from area using formula

$A = \pi r^{2}$

so for choice (A) area is given as $4.375 \times 10^{7}$ . So plug this in A place in formula and then solve for radius r

$4.375 \times 10^{7} = \pi r^{2}$

$\frac{4.375 \times 10^{7}}{\pi} = \frac{\pi r^{2}}{\pi}$

$1.393 \times 10^{7} } = r^{2}$

$\sqrt{1.393 \times 10^{7}} = \sqrt{r^{2}}$

3731.76 = r

So screw A will have
$diameter = 2 \times r = 2 \times 3731.76 = 7463.52$ inches

Similarly for choice (E) area is $1.428 \times 10^{1} = 14.28$
so again plug in formula

$A = \pi r^{2}$

$14.28 = \pi r^{2}$

$\frac{14.28}{\pi} = \frac{\pi r^{2}}{\pi}$

$4.5477 = r^{2}$

$\sqrt{4.5477} = \sqrt{r^{2}}$

2.13201 = r

So screw E will have
$diameter = 2 \times r = 2 \times 2.13201 = 4.26402$ inches

So diameters of all screws are as follows:

Screw A: 7463.52 inches
Screw B: 1.5 inches
Screw C: $1\frac{7}{8} = \frac{1\times 8+7}{8} = \frac{15}{8} = 1.875$ inches
Screw D: 0.25 inches
Screw E: 4.26402 inches

Comparing all numbers 7463.52, 1.5, 1.875, 0.25, 4.26402 we can see that smallest number is 0.25, then comes 1.5, then 1.875 and then 4.26402 and then 7463.52

So order from least to greatest will be screw D (0.25), B(1.5), C(1.875), E (4.26402), A (7463.52).

So thats the order D,B,C,E,A and the final answer

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