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2 years ago

What is 180-90-37 as a degree?

Mathematics

1 answer:

givi [52]2 years ago

3 0

Answer:

53 degrees

Step-by-step explanation:

since 180 is a straight line and 90 is half of that, all you need to do is take 37 away from 90 and you get 53

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Dominic is stacking legos to make a tower. He takes a break when the tower is 4 1/2 feet tall, which is 3/8 of the height of the

Lynna [10]

Answer:

Tower is 9 ft tall when it is finished.

Step-by-step explanation:

Given that:

Height of the tower when Dominic takes a break = $4\frac{1}{2}$ feet

The height of the tower as built by Dominic = $\frac{3}8$ of the total height

Let the total height of the tower to be built = $x$ feet

Let us have a look at the method to convert mixed fraction to a fractional number.

$a\dfrac{b}{c} = \dfrac{a\times c +b}c\\\Rightarrow 4\dfrac{1}{2} = \dfrac{4\times 2 +1}{2}=\dfrac{9}2$

As per question statement, $\frac{3}8$ of the total height is equal to $4\frac{1}{2}$ feet.

We can write the equation as:

$\dfrac{3}{8}x = \dfrac{9}{2}\\\Rightarrow x = \dfrac{9}{2}\times \dfrac{8}{3}\\\Rightarrow x = \dfrac{72}{6}\\\Rightarrow x = \bold{9\ ft}$

Therefore, tower is <em>9 ft</em> tall when it is finished.

4 0

3 years ago

Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5,

sweet-ann [11.9K]

Answer:

The correct option is E.

Step-by-step explanation:

It is given that Alice, Benjamin, and Carol each try independently to win a carnival game.

Let A, B and C represent the following events.

A = Alice win

B = Benjamin win

C = Carol win

$P(A)=\frac{1}{5}$ and $P(A')=1-P(A)=1-\frac{1}{5}=\frac{4}{5}$

$P(B)=\frac{3}{8}$ and $P(B')=\frac{5}{8}$

$P(C)=\frac{2}{7}$ and $P(C')=\frac{5}{7}$

We need to find the probability that exactly two of the three players will win but one will lose.

$Probability=P(A\cap B\cap C')+P(A\cap B'\cap C)+P(A'\cap B\cap C)$

$Probability=P(A)P(B)P(C')+P(A)P(B')P(C)+P(A')P(B)P(C)$

$Probability=\frac{1}{5}\cdot\frac{3}{8}\cdot\frac{5}{7}+\frac{1}{5}\cdot\frac{5}{8}\cdot\frac{2}{7}+\frac{4}{5}\cdot\frac{3}{8}\cdot\frac{2}{7}$

$Probability=\frac{3}{56}+\frac{1}{28}+\frac{3}{35}$

$Probability=\frac{7}{40}$

The probability that exactly two of the three players will win but one will lose is $\frac{7}{40}$ .

Therefore the correct option is E.

6 0

4 years ago

So basically I want to know how many copies of 1 twelfth are equivalent to 3 sixths.

bekas [8.4K]

Answer:

We have seen in the above example that 12, 24 and 48 are equivalent fractions. Therefore, 12 can

7 0

3 years ago

Ajay bought a fan and a heater for rs 4000. He sold the fan at a profit of a 25% and the heater at a loss of 5%. If he gained 7%

Alborosie

Answer: Heater -Rs 2400; Fan- Rs 1600

Step-by-step explanation:

Given

Ajay bought a fan and a heater for Rs 4000

Suppose the price of fan is x and that of heater is 4000-x

Profit on the fan is $0.25x$

Loss on heater is $0.05\times (4000-x)$

Total profit is 7% i.e. $0.07\times 4000$

$\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600$

Thus, the price of heater is $4000-1600=Rs.\ 2400$

Price of fan is $Rs.\ 1600$

Price of heater is $Rs.\ 2400$

8 0

3 years ago

Solve x2 + 8x – 3 = 0 using the completing-the-square method.

Inessa [10]

The answer is the last one !

8 0

3 years ago