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olga2289 [7]
3 years ago
6

In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0
For the answer to the question above, I'll show my solution on how you can solve your problem.
AC² + BC² = AB² 
<span>5² + 12² = AB² </span>
<span>25 + 144 = AB² </span>
<span>169 = AB² </span>
<span>13 = AB </span>

<span>Triangle ABC is proportional to triangle ADB. </span>

<span><u>AC </u>= <u>AB </u></span>
<span>AB    AD </span>

<span><u>5</u> = <u>13 </u></span>
<span>13  AD </span>

<span>5AD = 169 </span>

<span>AD = 169/5 </span>

<span>AD = 33.8 </span>

<span>AD = AC + CD </span>

<span>33.8 = 5 + CD 
</span>So the answer is

<span>CD = 28.8 </span>
Lilit [14]3 years ago
3 0

Answer:

Actually the answer is 56, so D.

Step-by-step explanation:


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A boat sails 20 miles wast of the port and then 15 miles south to an island how far is the boat from the port if you measure thr
sweet-ann [11.9K]

Answer:

25 miles

Step-by-step explanation:

Given: A boat sail 20 miles west of the port and then 15 miles south to an island.

Picture attached.

The distance from port to island could be measured in a straight line. It will form a hypotenous.

∴ we can use Pythogorean theorem to find the distance.

h^{2} = a^{2} +b^{2}

Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.

h^{2} = 20^{2} +15^{2}

⇒ h^{2} = 400+225= 625

⇒h^{2} = 625

⇒h= \sqrt{625}= \sqrt{25^{2} }

We know \sqrt{x^{2} } = x.

∴h= 25\ miles

∴ Distance of Port from the Island is 25 miles.

6 0
3 years ago
The variable z is inversely proportional to x. When x is 6, z has the value 0.5. What is the value of z when x= 14?
Lilit [14]
Z is inversely proportional to X is the same as
z is directly proportional to 1/X
which can be written like this:-
y=k/X
________
0.5=k/6
0.5*6=k/6*6
k=3 ;
________
z = 3/14
Z = 0.2
7 0
2 years ago
Y=4x-18<br><br> Find ordered pairs of intercepts of each line
Masja [62]

The ordered pairs for the intercepts are as follows:

x intercept = 9/2

y intercept = -18

In order to find either of these you must put 0's in for the other variable. So, to find the x intercept, we start by putting 0 in for y.

y = 4x - 18

0 = 4x - 18

-4x = -18

x = 9/2

To find the y intercept, we put a 0 in for x.

y = 4x - 18

y = 4(0) - 18

y = 0 - 18

y = -18

5 0
3 years ago
Helppppppppppppppppppppp
egoroff_w [7]

Answer:

a, c

Step-by-step explanation:

Let's start with one of each choice. That'll be 3 * 4 * 3 * 3 * 10 = 1080 pizzas. As for the second one, this time the toppings won't be 10 it will be 10 * 9 * 8 because we have 10, and then 9, and then 8 topping choices. This gives us 1080 * 9 * 8 = 77,760. Hope this helps!

4 0
3 years ago
Read 2 more answers
Draw the figure with their measurements and find their volume
babunello [35]

1) Volume = L × W × H = 8 × 3 × 5 = <u>120 m³</u>

2) Volume = s³ = 17³ = 17 × 17 × 17 = <u>4913 cm³</u>

3) Volume = s³ = 30³ = 30 × 30 × 30 = <u>27000 cm³</u>

4) Volume = L × W × H = 13 × 5 × 7 = <u>455 cm³</u>

5) Volume = s³ = 15³ = 15 × 15 × 15 = <u>3375 cm³</u>

<u />

Formula's applied:

(a) Volume of rectangle: Length × Width × Height

(b) Volume of Cube: (side)³

5 0
2 years ago
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