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Rzqust [24]
2 years ago
15

A new bridge structure requires triangles that are in a ratio of 1:1. if ac = 5x − 5 and ec = 3x 9, find the distance between th

e top and bottom of the bridge, in feet.
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
4 0

Similar triangles have equal side lengths and measure of angles.

The distance between the top and bottom of the bridge, is 60 feet

The ratio of the triangle is 1 : 1.

So, we have:

This gives

Collect like terms

Divide both sides by 2

So, the required distance is:

Substitute 7 for x

Hence, the required distance is (c) 60 ft

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What is the formula for the distance between 2 points?
Vesnalui [34]
Hope this is helpful

5 0
3 years ago
A sno-cone machine priced at $139 is on sale for 20% off. The sales tax rate is 6.75%. What is the price of the sno-cone machine
trapecia [35]

Answer:

$127.03

Step-by-step explanation:

A snow cone machine price at $139 is on after for 20 off.

The price after discount=139-20=$199

The sale tax rate 6.75%

Price with sales tax=199+(6.75%×199)

=199+(0.0675×199)

= 199+8.03

=<em>$</em><em>1</em><em>2</em><em>7</em><em>.</em><em>0</em><em>3</em>

4 0
3 years ago
A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of
melisa1 [442]

Answer: 16.56\ ft

Step-by-step explanation:

You must draw a right triangle as the one attached, where "x" is the lenght  in feet of the ramp.

You need to use the following Trigonometric Identity:

sin\alpha=\frac{opposite}{hypotenuse}

In this case you can identify that:

\alpha =25\°\\\\opposite=7\\\\hypotenuse=x

Now you must substitute these values into sin\alpha=\frac{opposite}{hypotenuse}:

sin(25\°)=\frac{7}{x}

Finally, you must solve for "x" in order to find its value.

This is:

sin(25\°)=\frac{7}{x}\\\\xsin(25\°)=7\\\\x=\frac{7}{sin(25\°)}\\\\x=16.56

6 0
3 years ago
1. How many squares do I shade on 10 square grid for 60% of 40 ?
Sholpan [36]

Answer:

Either 2.4 boxes or 6

Step-by-step explanation:

10% of 40 is 4

60% of 40 is 24

Either 2.4 boxes or 6

6 0
3 years ago
13. 11 = 2b +17 14. 5 = 4a -7
dedylja [7]

13.\ 2b+17=11\qquad|-17\\\\2b=-6\qquad|:2\\\\\boxed{b=-3}\\\\14.\ 4a-7=5\qquad|+7\\\\4a=12\qquad|:4\\\\\boxed{a=3}\\\\16.\ 2g-3=-19\qquad|+3\\\\2g=-16\qquad|:2\\\\\boxed{g=-8}\\\\17.\ 5x-9=16\qquad|+9\\\\5x=25\qquad|:5\\\\\boxed{x=5}\\\\19.\ 5+\dfrac{y}{8}=-3\qquad|-5\\\\\dfrac{y}{8}=-8\qquad|\cdot8\\\\\boxed{y=-64}


3 0
4 years ago
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