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3 years ago

What type of triangle has three angles whose measure are less than 90°?

Mathematics

2 answers:

Arlecino [84]3 years ago

7 0

Answer:

acute

Step-by-step explanation:

hoa [83]3 years ago

5 0

it is an acute triangle

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P.S. Hello from Russia :^)

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Six cards numbered from 1 to 6 are placed in an empty bowl. First one card is drawn and then put back into the bowl; then a seco

kari74 [83]

Answer:

C. $\frac{1}{18}$

Step-by-step explanation:

Given: Six cards numbered from $1$ to $6$ are placed in an empty bowl. First one card is drawn and then put back into the bowl then a second card is drawn.

To Find: If the cards are drawn at random and if the sum of the numbers on the cards is $8$ , what is the probability that one of the two cards drawn is numbered $5$ .

Solution:

Sample space for sum of cards when two cards are drawn at random is $\{(1,1),(1,2),(1,3)......(6,6)\}$

total number of possible cases $=36$

Sample space when sum of cards is $8$ is $\{(3,5),(5,3),(6,2),(2,6),(4,4)\}$

Total number of possible cases $=5$

Sample space when one of the cards is $5$ is $\{(5,3),(3,5)\}$

Total number of possible cases $=2$

Let A be the event that sum of cards is $8$

$p(\text{A})$ $=\frac{\text{total cases when sum of cards is 8}}{\text{all possible cases}}$

$p(\text{A})=\frac{5}{36}$

Let B be the event when one of the two cards is $5$

probability than one of two cards is $5$ when sum of cards is $8$

$p(\frac{\text{B}}{\text{A}})=\frac{\text{total case when one of the number is 5}}{\text{total case when sum is 8}}$

$p(\frac{\text{B}}{\text{A}})=\frac{2}{5}$

Now,

probability that sum of cards $8$ is and one of cards is $5$

$p(\text{A and B}=p(\text{A})\times p(\frac{\text{B}}{\text{A}})$

$p(\text{A and B})=\frac{5}{36}\times\frac{2}{5}$

$p(\text{A and B})=\frac{1}{18}$

if sum of cards is $8$ then probability that one of the cards is $8$ is $\frac{1}{18}$ , option C is correct.

3 0

2 years ago

What is the simplified value of the exponential expression 16^1\4

Natalka [10]

If you observe that $16 = 2^4$ , you can rewrite the expression as

$16^{\frac{1}{4}} = (2^4)^{\frac{1}{4}}$

Now, if you use the exponent rule $(a^b)^c = a^{bc}$ , you may rewrite the expression again:

$(2^4)^{\frac{1}{4}} = 2^{4\cdot\frac{1}{4}} = 2^1 = 2$

6 0

3 years ago

Evaluate. 5x{(9 +2) X (6 + 3)} + 15

Tju [1.3M]

Answer:15(3x11^+1)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the surface area, in square inches, of a disco ball with a circumference of 188.5 centimeters?

Rudik [331]

A = 11300 cm<span>2
</span>
Hope this helps!

3 0

2 years ago

Last Sunday a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the stor

Marat540 [252]

Answer:

D. $\frac{400p}{500-p}$

Step-by-step explanation:

let's call A the number of copies sold of newspaper A and B the number of copies sold of newspaper B.

So, we can formulate the following equations from the sentence: a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each as:

A + B = 256 (1)

1A + 1.25 B = Total Revenue (2)

Then, r and p are equal to:

$r=\frac{A}{Total Revenue}*100=\frac{100A}{A+1.25B}$ (3)

$p=\frac{A}{256} *100=\frac{100A}{256}$ (4)

Isolating A from (4) and B from (1), we get:

$A=\frac{256p}{100} =2.56p$ (5)

$B=256-A=256-2.56p$ (6)

Finally, replacing (5) and (6) in (3), we get:

$r=\frac{100A}{A+1.25B}=\frac{100(2.56p)}{2.56p+1.25(256-2.56p)}\\\\r=\frac{256p}{2.56p+320-3.2p}=\frac{256p}{320-0.64p}\\\\r=\frac{256p/0.64}{(320-0.64p)/0.64}=\frac{400p}{500-p}$

7 0

3 years ago