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Inga [223]
3 years ago
10

(EASY)(BRAINLIEST)Which of the four angles marked on the picnic table is obtuse?

Mathematics
2 answers:
Nataly [62]3 years ago
4 0
The angle that is obtuse is 1, because it is greater than 90°.

Hope this helps and have a nice day:)
Readme [11.4K]3 years ago
3 0

Answer:

\angle 1 is an obtuse angle

Step-by-step explanation:

An angle is a figure formed by two sides of a triangle sharing the common vertex.

Basically, in a triangle , an angle refers to a amount of turn by the sides of the triangle around a common vertex.

An acute angle is angle whose measure is less than 90^{\circ} and an obtuse angle is a angle whose measure lies between 90^{\circ} and 180^{\circ}.

A right angle is equal to 90^{\circ}

A straight angle is equal to 180^{\circ}

A complete angle is equal to 360^{\circ}

Here, from the figure we observe that 0^{\circ}\,\,< \,\,\angle 2\,,\,\angle 3\,,\,\angle 4\,\,< 90^{\circ}

So, angles \angle 2\,,\,\angle 3\,,\,\angle 4 are acute angles.

90^{\circ}\,\,< \angle 1\,\,< 180^{\circ}

So, \angle 1 is an obtuse angle.

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A total of 600 of the 1,000 people living in a retirement community classify themselves as Republicans, while the others classif
zheka24 [161]

Answer:

0.0847 = 8.47%

Step-by-step explanation:

Since 600 people are classified as Republicans, 400 people are classified as Democrats.

It can be calculated the number of people who voted for each party as follows:

Votes for Republicans = 600 (total Republicans) – 60 (Republicans who voted for the Democratic candidate) + 50 (Democrats who voted for the Republican candidate) = 590 votes

Votes for Democrats = 400 (total Democrats) – 50 (Democrats who voted for the Republican candidate) + 60 (Republicans who voted for the Democratic candidate) = 410 votes

A total of 590 people voted for the Republicans and 50 of those are Democrats. Thus, the probability that a person who voted for The Republican candidate is a Democrat can be calulated:

P = 50/590 = 0.0847 = 8.47%

8 0
3 years ago
Regina writes the expression y + 9 · ¼. Which expression is equivalent to the one Regina writes?
Alika [10]

Answer:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.3/4  + y

= (9.3/4) + y

Step-by-step explanation:

Regina writes the expression y +9.3/4

Using The commutative property

a + b = b + a

= 9.1/4  + y

= (9.1/4) + y

5 0
2 years ago
A solid machine part is to be manufactured as shown in the figure. The part is made by cutting a small cone off the top of a lar
Alexxx [7]

Answer:

The answer is 390 × pi.

Step-by-step explanation:

Big cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 9^2 x 15

= 1272.3 cubic inches

Small cone:

V = 1/3 x pi x r^2 x h

= 1/3 x 3.14 x 3^2 x 5

= 47.1 cubic inches  

1272.3 - 47.1 = 1225.2 cubic inches

1272/3.14 ≈ 390

The answer is 390 × pi.

4 0
3 years ago
Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure
Andrei [34K]
The answer will be B because all three angles of the triangles add up to180 degrees, and we already know the total of two other angles are 100 degrees, which made the unknown angles have 80 degrees. Hope it help!
8 0
3 years ago
Read 2 more answers
Find the value of x. Round to<br> the nearest tenth.<br> 17°<br> 47<br> Х<br> X =[?]
elena-14-01-66 [18.8K]

Answer:

13.7 units

Step-by-step explanation:

Hi there!

The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.

Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:

sin\theta=\frac{opposite}{hypotenuse}

Plug in known information

sin17=\frac{x}{47}\\47*sin17=x\\13.7=x

Therefore, the value of x when rounded to the nearest tenth is 13.7 units.

I hope this helps!

4 0
3 years ago
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