All categories

3 years ago

Given: △ABC, AB=BC=10 cm,

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

AK = CN = 9.6 cm

BN = 8 cm

Step-by-step explanation:

AC is the base of the isosceles triangle, so N is the midpoint of AC. CN is 6 cm, so the Pythagorean Theorem tells us the altitude BN is

... BN = √(BC² -CN²) = √(100 -36) = 8 . . . . cm

The area of the triangle is ...

... Area = (1/2)(AC)(BN) = (1/2)(12 cm)(8 cm) = 48 cm²

The other altitudes (AK, CM) are to sides of length 10, so they can be found from the area formula as ...

... 48 cm² = (1/2)·altitude·(10 cm)

... 48 cm²/(5 cm) = altitude = 9.6 cm

Thus we have BN = 8 cm, AK = CM = 9.6 cm.

You might be interested in

Please help with this area

agasfer [191]

Answer:

L = 7 W= 12

Step-by-step explanation:

Ok so we already know that a rectangle is not even so the numbers will have to be 2 diff numbers.

The length is 5 feet less then width

w*l= 84

1* 84 2* 41 3*28 4*21 6*14 7*12

84-1 41-2 28-3 21-4 14-6 12-7

83 39 25 19 8 5

So,

your equation would be l*w = 7*12

7 0

3 years ago

For brainiest:):):):):):):):)

Oksi-84 [34.3K]

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made $9+6=15$ shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

$P($ making a shot $)=\frac{9}{15}=\frac{3}{5}=0.6$

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

$P($ making a shot $)+P($ missing a shot) $=1$

$P($ missing a shot $)=1-P($ making a shot $)$

$P($ missing a shot $)=1-0.6=0.4$

QED

3 0

3 years ago

How many times do you need to divide by ten to get from 5947.7 to 5.9477 ?

mixas84 [53]

Answer would be 4 times

so if u count from behind 7 to where the decimal point is it would be 4

brainliewst and thanks plz

6 0

3 years ago

Read 2 more answers

Jen needs to save $180 for a new camping tent. She is able to save $9 each week. How many weeks will Jen need to save to reach h

Lyrx [107]

20 weeks long all you have to do is to 180\9

3 0

3 years ago

Suppose the inside bottom of a box is painted with three colors: one-third of the bottom area is blue, one-sixth is red, and one

miss Akunina [59]

Answer:

The probability that the pebble will NOT land on color blue is 0.67.

Step-by-step explanation:

We attribute the box area as the probability of the events.

So the probability of landing in the Red Area is 1/6, the probability of landing in the Blue Area is 1/3 and the probability of landing in the Yellow Area is 1/2.

P(Red)= $\frac{1}{6}$

P(Yellow)= $\frac{1}{2}$

P(Blue)= $\frac{1}{3}$

The probability of landing in NOT Blue area is given by:

P(Not Blue)=1-P(Blue)= $1-\frac{1}{3}=\frac{2}{3} =0.67$

8 0

3 years ago