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NeX [460]
3 years ago
14

Solve for k. 15 - 5(4k – 7) = 50

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0

Answer:

15-5(4k-7)=50

<=> 15 - 20k + 35 = 50

<=> 50 - 20k = 50

<=> -20k = 0

<=> k=0

Step-by-step explanation:

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5 0
2 years ago
A goniometer may be used to measure the range of motion of a joint.
Romashka-Z-Leto [24]

Answer:

In the picture, the angle made by the goniometer is classified as a(n)

obtuse      

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Step-by-step explanation:

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3 years ago
Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh
zepelin [54]

Answer:

\large \boxed{\text{11 km/h}}

Step-by-step explanation:

1. The situation after 15 min:

(a) Distance travelled by simulated biker:

15 min =¼ h  

\text{Distance} = \dfrac{1}{4}\text{ h} \times \dfrac{\text{20 km}}{\text{1 h}} = \text{5 km}

(b) Distance travelled by Julian

Julian is 2¼ km behind  the biker. The distance he has travelled is (5 - 2¼) km

5 - 2¼ = 5 - ⁹/₄ = ²⁰/₄ - ⁹/₄ = ¹¹/₄ = 2¾

Julian has travelled 2¾ km in ¼ h.

2. Julian's average speed

\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} = \dfrac{2\frac{3}{4}\text{ km}}{\frac{1}{4}\text{ h}} =\dfrac{11}{4}\text{ km}\times \dfrac{4}{\text{1 h}} = \textbf{11 km/h}\\\\\text{Julian's average speed is $\large \boxed{\textbf{11 km/h}}$}

7 0
2 years ago
Read 2 more answers
Graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. Max is hiking at an altitude of 12,500 fee
alina1380 [7]

Graham: -50x + 14,040

Max:  20x + 12,500

   Graham      =        Max

-50x + 14,040 = 20x + 12,500

<u>+50x               </u>   <u>+50x               </u>

            14,040 = 70x + 12,500

<u>          -12,500  </u>  <u>         -12.500 </u>

             1,540  = 70x

              \frac{1,540}{70} = \frac{70x}{70}

                220 = x

Answer: 220 minutes <em>(3 hours 40 minutes)</em>

5 0
3 years ago
Read 2 more answers
the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees
horsena [70]

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

6 0
3 years ago
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