What is the actual slope of this line?

A crowbar 29 in. long is pivoted 6 in. from the end. What force must be applied at the long end in order to lift a 700 Ib object

Alla [95]

A force of 182.6 lb should be applied to lift 700 lb object.

<h3>How to calculate the force?</h3>

Let the force required to lift be F

Total length = 29 in.

Distance of short end from pivot = in.

Distance from long end = 29-6 = 23 in.

Now Equating moments

F × 23 = 700x6

23F = 4200

F = 4200/23

= 182.6 lb

A force of 182.6 lb should be applied to lift 700 lb object.

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6 0

1 year ago

The area of two similar triangles are 50dm^2 and 32dm^2. The sum of their perimeters is 117dm. What us the perimeters of each of

Kay [80]

Answer:

Perimeter of one triangle is 65 dm

Perimeter of other triangle is 52 dm

Step-by-step explanation:

Please remember the concept

If sides are in the ratio of a:b

Then the area in the ratio of $a^{2} :b^{2}$

It is given sum of their perimeter is 117.

Let the small triangle has perimeter as x.

So, perimeter of big triangle is 117-x.

So, we can set up equation as

$\frac{50}{32} =\frac{x^{2} }{(117-x)^{2} }$

Cross multiply

50(117-x)^2 =32x^2

Expand the left side

50 $(13689 -234x+x^{2} )$ = $32x^{2}$

Distribute the left side

684450-11700x+ $50x^{2}$ = $32x^{2}$

Subtract both sides $32x^{2}$ and rewrite it $18x^{2} -11700x+684450=0$

Solve this quadratic for x.

Divide both sides of the equation by 18 to simplify.

$x^{2}$ -650 x+38025=0

Now, if possible let's factor

Find two integers whose multiplication is 38025 but adds to -650.

-65 and -585 works.

So, we can rewrite it as

(x -65)(x-585) =0

Solve them using zero product property

x=65, x=585

So, x=65 works here.

So, perimeter of one triangle is 65 dm

Perimeter of other triangle is 117-65= 52 dm

5 0

2 years ago

Solve for x<br> 5x + 7 = 11<br> Give your answer as a fraction in its simplest form.

Rainbow [258]

Step-by-step explanation:

5x=11-7

5X= 4

X=4/5

=0.8 Answer

6 0

2 years ago

A science teacher gives a test with 15 questions. This teacher is a hard grader. The teacher assigns points in the following man

ASHA 777 [7]

Answer: The standard deviation was calculated incorrectly.

Step-by-step explanation:

The standard deviation measures the dispersion of the data values from the mean value.

It cannot be negative , because it is the square root of the variance .

We add all squared deviations from the data points away from the mean and (then divide it by the number of data values) to evaluate variance.

Since , any squared number cannot give a negative result.

⇒ Standard deviation cannot be negative.

⇒The standard deviation was calculated incorrectly.

Rest other things (given in options) can not be interpreted on the basis of given information.

6 0

2 years ago

The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fr

Art [367]

Answer:

Perimeter = 1 unit

Step-by-step explanation:

$length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\$

$= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit$

5 0

2 years ago