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Andru [333]
2 years ago
7

the ratio of the measures of the sides of a triangle is 21:8:14 if the perimeter of the triangle is 215 feet find the length of

each side​
Mathematics
1 answer:
SOVA2 [1]2 years ago
6 0

Answer:

the 3 sides of the triangle are 105 ft, 40 ft and 70 ft.

Step-by-step explanation:

the perimeter is the sum of the 3 sides of the triangle

add the parts of the ratio 21 + 8 + 14 = 43

divide the perimeter by 43 to find the value of one part of the ratio

= 5 ft ← 1 part of the ratio, hence

21 parts = 21 × 5 = 105 ft

8 parts = 8 × 5 = 40 ft

14 parts = 14 × 5 = 70 ft

the 3 sides of the triangle are 105 ft, 40 ft and 70 ft

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A student wants to know how far above the ground the top of a leaning flagpole is. At high​ noon, when the sun is almost directl
MariettaO [177]

Answer:

15.43 ft

Step-by-step explanation:

To solve this question, one should use the concept of similar triangles.

The pole's shadow and the distance to the ground (x) form a similar triangle to the distance of the plumb bob from the base and the length of the plumb bob, respectively. Note that we do not need to know the measurements of the third side of the triangles to solve the problem.  Therefore, the distance of the top of the pole to the ground is:

14 in = 1.1667 ft

1.1667x=6*3\\x = 15.43

The distance of the top of the pole to the ground is 15.43 ft.

4 0
2 years ago
Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects
oee [108]

Answer:

(A)56.5^\circ

Step-by-step explanation:

From the diagram attached:

Angle 1 and Angle 6 are Co-Interior Angles.

The sum of co-interior angle is 180 degrees.

Therefore:

m\angle 1+ m\angle 6=180^\circ\\\\m\angle 6=123.5^\circ,$ therefore:\\m\angle 1+ 123.5^\circ=180^\circ\\m\angle 1=180^\circ-123.5^\circ\\m\angle 1=56.5^\circ

The measure of angle 1 is therefore 56.5 degrees.

The correct option is A.

9 0
2 years ago
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Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x8+3y
ahrayia [7]

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=x^{8}+3^{y}+x^{y}

a) Zx b) Zy

In differentiation, if y = axⁿ, y' = nax^{n-1} \ where \ n\ is\ a\  constant. Applying this in question;

Given the function z = x⁸+3^{y}+x^{y}

Z_x = \frac{\delta z}{\delta x} = 8x^{7} + 0 + yx^{y-1} \\\frac{\delta z}{\delta x} = 8x^{7} + yx^{y-1} \\

Note that y is treated as a constant since we are to differentiate only with respect to x.

For Zy;

Z_y = \frac{\delta z}{\delta y} =0+ 3^{y} ln3 + x^{y}lnx \\\frac{\delta z}{\delta y} = 3^{y} ln3 + x^{y}lnx } \\

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6 0
2 years ago
Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so
Georgia [21]
In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution 


We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ +  v₂c₂
40(0.32) = 10(0.2) + 30c
6 0
2 years ago
Read 2 more answers
A shape is shown on the graph.<br>Which of the following is a reflection of the shape?​
BigorU [14]

Answer:

C. Also, known as the 3rd one.

Step-by-step explanation:

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1 year ago
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