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Goryan [66]
3 years ago
5

\angle DAC=\angle BAD∠DAC=∠BADangle, D, A, C, equals, angle, B, A, D. What is the length of \overline{AC} AC start overline, A,

C, end overline? Round to one decimal place. Stuck
Mathematics
2 answers:
aniked [119]3 years ago
7 0

Answer: 5.9

Step-by-step explanation: Khan Academy

a_sh-v [17]3 years ago
6 0

Answer:

AC = 4.5 units

Step-by-step explanation:

Given question is incomplete without the figure; find the figure attached.

By applying angle bisector theorem in the given triangle ABC,

(Since, AD is the angle bisector of ∠BAC)

\frac{AC}{CD}=\frac{AB}{BD}

\frac{AC}{2.5}= \frac{6.8}{3.8}

AC = \frac{6.8\times 2.5}{3.8}

AC = 4.47

AC ≈ 4.5 units

Length of side AC in the given triangle = 4.5 units.

You might be interested in
Lesson 13.3 Checkpoint
Arte-miy333 [17]

Answer:

a. LK = 4√3, JL= 4√6

b.  PQ = 10√3, RP = 5√3

Step-by-step explanation:

a. LK =4√3,

LK=KJ= 4√3

sin(45°) = opposite/hypotenuse

hypotenuse (JL)= opposite/sin 45° = 4√3/√2/2 = 8√3/√2 = 8√3√2/2 = 4√6

b.

cos 30° = adjacent/hypotenuse = QR/PQ = 15/PQ

cos 30° = 15/PQ

PQ = 15/cos 30° = 15/√3/2)= 30/√3 = 30√3/3 = 10√3

tan 30° = opposite/adjacent = RP/QR

√3/3 = RP/QR

√3/3 = RP/15

RP = √3*15/3 = 5√3

3 0
3 years ago
A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is
Hunter-Best [27]

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability(X=0)=\dfrac{1}{4} = 0.25

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability(X=1)=\dfrac{2}{4} = 0.25

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability=\dfrac{1}{4} = 0.25

Now, if we draw the table of the data and the probability we will get the following table,

x             P(X)

0           0.25

1            0.50

2           0.25

Hence, the table that is correct is table A, which is  A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

brainly.com/question/795909

8 0
2 years ago
Determine the value of r so that line through. -2,5 and 6,r has a slope of -3,2
Mademuasel [1]

Answer:

R=10

Step-by-step explanation:

-2×-3=6

R=5×2

=10

3 0
3 years ago
janice invests a total of 8000 in two different accounts. the first account returns 5%, while the second account returns 8%. if
Zinaida [17]

Answer:

"She invested $2500 in 5% account and $5500 in 8% account"

Step-by-step explanation:

Let the amount invested in 5% account be "x"

So, the amount invested in 8% account would be "8000 - x"

Interest amount is the percentage multiplied by amount invested. So

Interest of 5% account = 5% of x = 0.05x

Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)

Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:

0.05x + 0.08(8000 - x) = 565\\0.05x+640-0.08x=565\\0.03x=75\\x=2500

and thus,

"8000 - x" = 8000 - 2500 = 5500

Hence,

She invested $2500 in 5% account and $5500 in 8% account

6 0
3 years ago
Find the sum. Write the addition property you used. 28+29+42=
Zolol [24]

Step-by-step explanation:

28+29=57

57+42=99 so 99 should be your answer

4 0
3 years ago
Read 2 more answers
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