All categories

3 years ago

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: a Find CD, if BC = 3 in

Mathematics

1 answer:

Elodia [21]3 years ago

6 0

Answer:

CD = (3/2)√2

Step-by-step explanation:

All the triangles are similar isosceles right triangles, so the hypotenuse in each case is √(1²+1²) = √2 times the length of the corresponding legs. BC is the hypotenuse of ΔBCD, so leg CD is that length divided by √2.

CD = BC/√2 = 3/√2

CD = (3/2)√2

You might be interested in

Where to locate the nonnegative abscissa, positive ordinate

Fofino [41]

The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
Hope this helps

4 0

3 years ago

NO LINKS!!! Part 2: Find the Lateral Area, Total Surface Area, and Volume. Round your answer to two decimal places.

slava [35]

Answer:

<h3><u>Question 7</u></h3>

<u>Lateral Surface Area</u>

The bases of a triangular prism are the triangles.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).

$\implies \sf L.A.=2(10 \times 6)+(3 \times 6)=138\:\:m^2$

<u>Total Surface Area</u>

Area of the isosceles triangle:

$\implies \sf A=\dfrac{1}{2}\times base \times height=\dfrac{1}{2}\cdot3 \cdot \sqrt{10^2-1.5^2}=\dfrac{3\sqrt{391}}{4}\:m^2$

Total surface area:

$\implies \sf T.A.=2\:bases+L.A.=2\left(\dfrac{3\sqrt{391}}{4}\right)+138=167.66\:\:m^2\:(2\:d.p.)$

<u>Volume</u>

$\sf \implies Vol.=area\:of\:base \times height=\left(\dfrac{3\sqrt{391}}{4}\right) \times 6=88.98\:\:m^3\:(2\:d.p.)$

<h3><u>Question 8</u></h3>

<u>Lateral Surface Area</u>

The bases of a hexagonal prism are the pentagons.

Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).

$\implies \sf L.A.=5(5 \times 6)=150\:\:cm^2$

<u>Total Surface Area</u>

Area of a pentagon:

$\sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}a^2$

where a is the side length.

Therefore:

$\implies \sf A=\dfrac{1}{4}\sqrt{5(5+2\sqrt{5})}\cdot 5^2=43.01\:\:cm^2\:(2\:d.p.)$

Total surface area:

$\sf \implies T.A.=2\:bases+L.A.=2(43.01)+150=236.02\:\:cm^2\:(2\:d.p.)$

<u>Volume</u>

$\sf \implies Vol.=area\:of\:base \times height=43.011193... \times 6=258.07\:\:cm^3\:(2\:d.p.)$

8 0

2 years ago

2. how is inquizitive graded? if you answer a question incorrectly on your first attempt, you will lose points.

ser-zykov [4K]

The more questions you successfully answer on your first attempt, the more points you will receive. The more times you attempt a question, the more points you'll lose if you get it wrong.

Inquizitive is graded in following ways -

Reach a Target Score set by your instructor; Provide a Correct Answer; Respond to a minimum number of questions.
The incorrect response is to simultaneously shove five large marshmallows in your mouth.
In InQuizitive, points are earned by responding to questions.
You use the Question confidence slider (to the right if using a computer or at the bottom for Smartphterm-2one users) to calculate how many points you can earn or lose on each question.
In order to receive a mark for the exercise, you must respond to a certain number of questions.
You must achieve a predetermined goal Score in order to receive a perfect score (100%) on the activity.

To learn more about Inquizitive from given link

brainly.com/question/14317711

#SPJ4

8 0

2 years ago

A manufacturer of computer logic boards is changing to a new model. The amount of time to setup for the new logic boards is

natima [27]

Answer:

1.5 batches take 12.375 hour

Step-by-step explanation:

The first batch takes 10.5 hours, meaning only .5 batches are left. You then take the time that each new full batch takes (4.25) and divide it by 2 as you only need half of one batch. Meaning 0.5 of a batch takes 2.125 hours. You then take the time of the two batches (10.5, and 2.125) and add them, leaving you with 12.625. Meaning 12.375 is the most viable answer.

4 0

2 years ago

PLEASE HELP ME!!!!!!! :(

Mamont248 [21]

The answer should be C
Because you take the number of young people who work outdoors, which is 242 and divide it by the total, which appeared to be 1028.

5 0

3 years ago