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yawa3891 [41]
1 year ago
12

Calculate AD and hence BD.

Mathematics
1 answer:
Vilka [71]1 year ago
7 0

Answer:

AD = 15 cm , BD = 3 cm

Step-by-step explanation:

Δ ABC is similar to Δ ADE ( by the AA postulate )

then the ratios of corresponding sides are in proportion, that is

\frac{AD}{AB} = \frac{DE}{BC} ( substitute values )

\frac{AD}{12} = \frac{10}{8} ( cross- multiply )

8 × AD = 12 × 10 = 120 ( divide both sides by 8 )

AD = 15 cm

AB + BD = AD , that is

12 + BD = 15 ( subtract 12 from both sides )

BD = 3 cm

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A cylinder has a radius of 5 and height of 3. what is the volume
Lapatulllka [165]

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = \pir²h   (where r = radius and h = height)

Therefore, volume = \pi x 5² x 3

                               = \pi x 25 x 3

                               = 75\pi

                               = 236 cubic units (to 3 significant figures)

8 0
2 years ago
What is an equation of the line that passes through the point (-2 1) and is parallel to the line whose equation is 4x-2y=8 ?
monitta
4x-2y=8 ==> y=2x-4 (to better show you what I mean) 

2 lines are parallel if they have the same slope (m the coefficient of x).

So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
4 0
4 years ago
Point A is located at (2, 6), and D is located at (−4, 10). Find the coordinates of the point that lies halfway between A and D.
valina [46]

(( \frac{1}{2} (( - 4) - 2) + 2and( \frac{1}{2} (10 - 6)) + 6
the answer is(-1,8)
8 0
3 years ago
Read 2 more answers
A church building fund has $3.2 million in it, which is 60% of the amount necessary for the project. What
Alexandra [31]

Answer:

$5.4 Million

Step-by-step explanation:

3.2 mill/x = 60/100

3.2 mill x 100 = 60x

320 mill = 60x

x = 5.3333 million, rounded up to 5.4 million

5 0
3 years ago
Frank's toy car is 19 centimeters long. Max's
jeka94

Answer:

Pertaining to the yielded interrogate, the retort is 6.30.

Step-by-step explanation:

As disseminated, the terms may equate to the proximate as identified:

-If an inch is equivalent to the numeral equivalence of 2.54, hence 5 inches (in) is in the accordance with the equivalence to 12.7 centimeters (cm).

Alas, the terms may equate as the following:

19 cm - 12.7 cm = x

Thus, as to resolute and evaluate the retort, with respect to your interrogate, is 6.30.

*Hope this helps.

8 0
3 years ago
Read 2 more answers
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