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frez [133]
3 years ago
6

John, Maya, and Zara have been picked to compete in the national track and field championships on behalf of their school. They c

ompeted against another local school squad. It took them 240.6 seconds to complete the task. How long did they each run if they took the same amount of time to complete the race? Calculate the answer and then solve the problem.
Mathematics
1 answer:
bagirrra123 [75]3 years ago
7 0

80.2

Step-by-step explanation:

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Answer this and get 50 points.​
Pavel [41]

Answer:

As shown in picture, the circle is divided into 2 arcs, one of them is 142 deg.

Then the other one A is 360 - 142 = 218 deg (property of sum of all arcs on circle).

As the property of angle created by a tangent line:

x = (1/2) x arc A = (1/2) x 218 = 109 deg

Hope this helps!

:)

3 0
3 years ago
Read 2 more answers
Look at the question in the picture pls I need help
Lena [83]

Step-by-step explanation:

Let the painting's width be w inches and length be l inches.

w + 6 = 2l

w = 2l - 6 --(1)

2w + 2l = 84 --(2)

sub (1) into (2):

2(2l - 6) + 2l = 84

2l - 6 + l = 42

3l = 48

l = 16

when l = 16, w = 2(16) - 6 = 26

area of painting = lw = 16 x 26 = 416square inches

Therefore, only statements 1, 3 and 5 are true

Topic: Algebraic equations + Simultaneous linear equations

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

8 0
3 years ago
For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}

Now, let's add the components of the same direction:

\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}

To find the resultant bearing (theta), we can use the formula below:

\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0
1 year ago
What percent of 17 is 51?
Taya2010 [7]

Answer:

33%

Step-by-step explanation:

h steps:

Step 1: We make the assumption that 51 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=51$.

Step 4: In the same vein, $x\%=17$.

Step 5: This gives us a pair of simple equations:

$100\%=51(1)$.

$x\%=17(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{51}{17}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{17}{51}$

$\Rightarrow x=33.33\%$

Therefore, $17$ is $33.33\%$ of $51$.

4 0
2 years ago
Read 2 more answers
PLEASE HELP ME WILL MARK BRAINLIEST
stich3 [128]

Answer:

PLEASE HELP ME WILL MARK BRAINLIEST

Step-by-step explanation:

5 0
3 years ago
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