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Fittoniya [83]
1 year ago
12

Classify the following triangle as acute obtuse or right 132 36 12

Mathematics
1 answer:
snow_lady [41]1 year ago
4 0

Hey!

Acute angles are angles that measure less than 90°. Obtuse angles are angles that measure more than 90° but less than 180°. Right angles are angles that measure exactly 90°.

132° is greater than 90°, but less than 180°. That means it's an obtuse angle.

36° is less than 90°. That means it's an acute angle.

12° is also less than 90°. That means it's also an acute angle.

132\° = obtuse \\ 36 \° = acute \\ 12 \° = acute

Since one of the angles is obtuse, it is an obtuse triangle.

Good luck and hope this helps! :)

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the speed of two insects equal the same speed when rounded to the nearest whole number; dragonfly:6.974 ;horsefly:3.934 ;bumbleb
Goryan [66]
Am presuming you are looking for the two insects.

In rounding up to nearest whole number, you look at the number before the decimal point, if the number after that is 5 or more, you add up one extra to the digit before the decimal point.

When you round up bumblebee 2.861 to the nearest whole number you have 3.

When you round up honeybee 2.548 to the nearest whole number you have 3.

The two insects are bumblebee and honeybee.

No other two are equal when rounded up to the nearest whole number.
8 0
1 year ago
Read 2 more answers
Samuel was riding in the back seat of the station wagon on the way home after a long and tiring day at the
ki77a [65]

Answer: One fourth of the entire trip.

Step-by-step explanation:

The initial distance is D.

" He fell asleep halfway home."

Then he fells asleep when the distance between his actual position and his house was half of D, or:

D/2.

"He didn't wake up until he still had half as far to go as he had already

gone while asleep."

So he wakes up when his actual position is a fourth of the initial distance:

(D/2)/2 = D/4.

Then if the entire trip has a distance D, and he was sleeping between:

D/2 - D/4 = 2D/4 - D/4 = D/4.

in a trip of a distance D, he was asleep a distance of D/4.

Then, returning to the question:

How much of the entire trip home was Samuel asleep?

This is equal to the quotient between the distance that he travels asleep and the total distance:

r = (D/4)/D = 1/4.

Then he was asleep in 1/4 of the entire trip.

7 0
2 years ago
Use the appropriate normal distribution to approximate the resulting binomial distributions. A convenience store owner claims th
Naddika [18.5K]

Answer:

0.9256

Step-by-step explanation:

Given that a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit

Let X be the number of customers who buy from her store, on a certain day of the week, buy coffee during their visit

X is Binomial (35, 0.55)

since each customer is independent of the other and there are two outcomes.

By approximation to normal we find that both np and nq are >5.

So X can be approximated to normal with mean = np = 19.25

and std dev = \sqrt{npq} \\=2.943

Required probability = prob that fewer than 24 customers in the sample buy coffee during their visit on that certain day of the week

= P(X (after effecting continuity correction)

= 0.9256

6 0
1 year ago
A stadium has two sponsorship deals. Deal A had revenue of $100,000 and expense of $10,000. Deal B has revenue of $50,000 and ex
horsena [70]

Answer:

Deal A) 90% Profit ; Deal B) 60% Profit

Step-by-step explanation:

Multiple ways of solving this problem here is one way:

100k-10k = 90k(Revenue) : Then you make this as a percent by 100k then multiply it by 100.

100*((100,000-10,000)/100,000) = 90%

The same is true for the other equation:

100*((50,000-20,000)/50,000) = 60%


4 0
1 year ago
Read 2 more answers
A metal alloy is a metal made by blending 2 or more types of metal. A jeweler has supplies of two metal alloys. On alloy is 30%
tensa zangetsu [6.8K]

Answer:

He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

Step-by-step explanation:

Let x = mass of 30% ally.

Let y = mass of 10% alloy.

He needs 4 kg of alloy, so the first equation, dealing with masses, is

x + y = 4

Now we deal with the amount of gold.

He uses x mass of 30% gold alloy. The amount of gold in that mass is 0.3x.

He uses y mass of 10% gold alloy. The amount of gold in that mass is 0.1y.

The total mass of gold is 0.3x + 0.1y. We are told the told the end alloy is 4 kg of 15% gold alloy. That contains 0.15(4) kg = 0.6 kg of gold.

The second equation is

0.3x + 0.1y = 0.6

Now we put together the two equations as a system of equations.

x + y = 4

0.3x + 0.1y = 0.6

Multiply both sides of the second equation by -10.

-3x - y = -6

Add this equation to the first original equation.

         x + y = 4

+     -3x - y = -6

---------------------

        -2x    = -2

            x    = 1

Now substitute x = 1 in the first original equation and solve for y.

x + y = 4

x + y = 4

y = 3

Answer: He should combine 1 kg of 30% alloy and 3 kg of 10% alloy.

6 0
2 years ago
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