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Zigmanuir [339]
3 years ago
15

In the diagram, angle abc is a right angle. Find the value of x Show full working out pls ty

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

{(10 - x)}^{2}  =  {x}^{2}  +  {5}^{2} \\ 100 - 20x +  {x}^{2}   =  {x}^{2}  + 25 \\ 100 - 20x = 25 \\  - 20x = 25 - 100 \\  - 20x =  - 75 \\ x =  \frac{ - 75}{ - 20}  \\   \:  \: \huge \red { \boxed{x = 3.75}}

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REY [17]

Answer:

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7 0
3 years ago
Divide rational numbers 4 2/3 divided by two show your work
Makovka662 [10]

Answer:

7/3

Step-by-step explanation:

What you do when you divide is you need to switch the second number and turn the division sign into a multiplication sign.

<em>4 2/3 / 2.</em>

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7/3 as your answer.

3 0
4 years ago
PLSSS HELPPP A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the
Evgen [1.6K]

Answer:

The probability of missing both two-point conversion attempts is 7.5%

Step-by-step explanation:

We are informed that the probability of missing the first attempt is 50% of the time. Furthermore, the probability of missing on the second attempt given that he missed the first attempt is 15% of the time

Now,the probability of missing on both the two-point conversion attempts will simply be given by the product of these two probabilities since the events are independent;

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Therefore, the probability of missing both two-point conversion attempts is 7.5%

5 0
3 years ago
find the circumference and area of a circle with a diameter of 22 inches. leave your answers in the terms of pi
Roman55 [17]

Answer:

121π

Step-by-step explanation:

The formula for a circle is πr^2. But if given a diameter instead of radius, you simply divide by 2 because radius is half of a diameter.

Radius of this circle is 11 because you divide 22 by 2.

Then you follow the formula. 11^2=121.  

3 0
3 years ago
A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its surface area?
Serga [27]
We can l<span>abel the length (l), width (w), and height (h) of the prism and use the </span>formula<span>, SA=2lw+2lh+2hw, because it has '6' faces and to find the </span>surface area put the values in the formula:

SA=2(6)(3)+2(6)(2)+2(2)(3)
SA=36+24+12
SA=72
6 0
4 years ago
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