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3 years ago

Find x (2x + 50) (3x - 10°) final answer needs to equal 90°!!!! Please help ??

1 answer:

6 0

Answer: x = 10°
(2x + 50) = 70°
(3x - 10) = 20°

Steps:
(2x + 50)° + (3x -10)° = 90°
2x + 50 + 3x - 10 = 90°
5x + 40 = 90°
5x = 50°
x = 10°

(2x + 50)
2(10) + 50
20 + 50
70

(3x - 10)
3(10) - 10
30 - 10
20

Check:
70 + 20 = 90
90 = 90 ✅

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IRISSAK [1]

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3 years ago

How many even integers are there between -4 and 4 ? F. 1 G. 3 H. 4 J. 5 K. 7

olga nikolaevna [1]

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Step-by-step explanation:

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3 years ago

Help me now I need the answer on pepar

olga2289 [7]

Using the given information, the height of the shorter cone is 6.81 cm

<h3>Calculating volume of a cone </h3>

From the question, we are to determine the height of the shorter cone.

First, we will calculate the volume of the first cone

Using the formula for calculating the volume of a cone,

$V = \frac{1}{3}\pi r^{2}h$

Where V is the volume

r is the radius

and h is the height

From the given information,

r = 8.5 cm

h = 10 cm

Then,

$V = \frac{1}{3}\pi \times 8.5^{2}\times 10$

$V = \frac{1}{3}\pi \times 72.25\times 10$

$V = \frac{722.5}{3}\pi$ cm³

Now, for the shorter cone

r = 10.3 cm

Since the two cones have the exact same volume, we can write that

$\frac{722.5}{3}\pi= \frac{1}{3}\pi \times 10.3^{2} \times h$

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$h = \frac{722.5}{106.09}$

h = 6.81 cm

Hence, the height of the shorter cone is 6.81 cm.

Learn more on Calculating volume of a cone here: brainly.com/question/12004994

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4 0

2 years ago

With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s

Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

when all three boys are standing on the scale, it reads 170 pounds.

$A + B + C = 170$ - Eq(1)

when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

$B + C = 100$ - Eq(2)

when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

$C = 60$

So we already knew the weight of boy C. (it was in the question all along)

$C = 60$ pounds

Now to find the individual weights of the remaining boys, we can work our way backwards

we can put this value back in Eq(2), to find the weight of boy B.

$B + C = 100$

$B + 60 = 100$

$B = 100 - 60$

$B = 40$

the

the weight of boy B (Ben) is $B = 40$ pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

$A + B + C = 170$

$A + 40 + 60 = 170$

$A + 100 = 170$

$A = 170 - 100$

$A = 70$

the weight of boy A (Adam) is $A = 70$ pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

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4 years ago

18 is 15% of what number

lidiya [134]

18 is 15% of 120. Because 15% = 0.15 and 15% of 120 is 120x0.15= 18.

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3 years ago

Read 2 more answers