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1 year ago

The triangle below is isosceles. Find the length of side x in simplest radical form with

Mathematics

1 answer:

drek231 [11]1 year ago

7 0

Answer:

$\frac{ \sqrt{6} }{2}$

Step-by-step explanation:

By using trigonometric ratios
$\sqrt{3} \div \sqrt{2} = \frac{ \sqrt{6} }{2}$

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A builder wants to build the bridge whose cross section is shown in the diagram. Two companies offer simple bids on building the

leva [86]

The length of the bridge is the distance from the beginning to the end.

The distance b between each beam is 9ft.

Let:

$I \to$ I-Beam

$d_I \to$ distance between I beam and the bridge

$b \to$ distance between each I beam

Given that:

$I = \frac 34 ft\\$

$d_I = 3 ft$

$Length = 55ft\ 6in$ --- length of the bridge

From the diagram (see attachment), there are: 6 I-beams.

So, the length of the 6 I-beams is:

$L_1 = 6 \times I$

$L_1 = 6 \times \frac 34$

$L_1 = \frac {18}4$

$L_1 = 4.5ft$

There are 2 I-beams beside the bridge

So, the distance between the 2 I-beams and the bridge is:

$d_1 =2 \times d_I$

$d_1 =2 \times 3ft$

$d_1 =6ft$

There are 5 spaces between the I-beams

So, the length of the total spaces is:

$L_2 = 5 \times b$

$L_2 = 5b$

The total length is:

$Length = L_1 + d_1 + L_2$

So, we have:

$4.5ft + 6ft + 5b = 55ft\ 6in$

Collect like terms

$5b = 55ft\ 6in - 4.5ft - 6ft$

$5b = 44.5ft\ 6in$

Convert inches to feet

$5b = 44.5ft\ + \frac{6}{12}ft$

$5b = 44.5ft\ + 0.5ft$

$5b = 45ft$

Divide both sides by 5

$b = 9ft$

Hence, the distance (b) between each beam is 9ft.

Read more about lengths at:

brainly.com/question/22059747

3 0

2 years ago

If f(x)= 15x+7x and g(x)= x^2-5x, find (f+g)(x)

cupoosta [38]

Answer:

(f+g)(x) = x^2 +10x +7

Step-by-step explanation:

(f+g)(x) = f(x) +g(x) = (15x +7) +(x^2 -5x)

= x^2 +x(15 -5) +7

= x^2 +10x +7

7 0

3 years ago

Solve for the variable p Write the equation 4l +26p= 210. Write the equation in the form p = an expression.

Fittoniya [83]

Answer:

p = (105-2l)/13

Step-by-step explanation:

4l + 26p = 210

Isolate 26p by subtracting 4l from both sides

26p = 210-4l now divide by 26

p = (210-4l)/26 you can simply

p = (105-2l)/13

8 0

2 years ago

Dustin is stuck at the top of a ferris wheel. his mother is standing 38 feet from the base of the wheel watching him. if the ang

N76 [4]

To get the height to the nick we use the trigonometry formula:
tan θ=opposite/adjacent
θ=73°
opposite=h ft
adjacent=38 ft
plugging our values we get:
tan 73=h/38
thus
h=38 tan 73
h=124.29~124.3 ft

Answer: C. 124.3 ft

4 0

3 years ago

Show that 6 is a quaint number.

Alika [10]

Answer:

6=2+2+2

Step-by-step explanation:

-In mathematics, a quaint number is a number that can be written as the sum of two or more prime numbers.

-The multiple divisors of 6 in a factor tree are 2,2 and 2

-6 can thus be written as 2+2+2:

6=2+2+2

-Hence 6 is a quaint number

6 0

2 years ago