Which set of angles can form a triangle?

A: 2 acute and 1 right

B: 1 acute and 2 obtuse

C: 1 acute and 2 right

D: 1 acute, 1 right and 1 obtuse

Answers

Answer 1

Answer:

A: 2 acute and 1 right

Step-by-step explanation:

A triangle is a polygon that has 3 sides as well as three angles

Triangles can be can be classified based on their three sides as well as their three angles.

Based on their sides, we have 3 types of triangles.

1. Equilateral triangle: This means they have 3 equal sides.

2. Isoceles triangle: They have only 2 equal sides.

3. Scalene triangle: The 3 sides are not equal

Based on their angles, we have 3 triangles.

a. Acute triangle

b. Obtuse triangle

c. Right angle triangle.

One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.

Answer 2

Answer:

The correct option is;

A: 2 acute and 1 right

Step-by-step explanation:

Here we have the definitions of the angles as follows;

The sum of angles in a triangle = 180°

An acute angle is an angle less than 90°

An obtuse angle is an angle more 90 ° but less 180°

A right angle triangle is an angle equal to 90°

∴ A right angle triangle is an angle = 90°

Therefore, we compare each of the options

A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible

B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°

C: 1 acute and 2 right = <90 + 90 + 90 > 180

D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180

Therefore, the only possible correct option is A.


Related Questions

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.

A. sine
B. tangent
C. cotangent
D. secant

Answers

Answer:

the answer is b. tangent

Step-by-step explanation:

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.

On which triangle can we apply trigonometric ratios?

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The tangent of the angle is

[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

Learn more about trigonometric ratios here:

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Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

Step-by-step explanation:

Q1) r = 6 ft

Area of semicircle = πr²/2 = 6*6*3.14/2

Area of shape = 6*6*3.14/2 + area of the rectangle attached.

option 2

Q2)  length of the arc = circumference of the circle /2

       =2πr/2

       = 2 * 3.14 * 6 /2

        =12 * 3.14/2 ft

option 1

Georgianna wants to use the linear model associated with the data in the table to make a prediction.

A 2-column table with 5 rows. The first column is labeled time (minutes) with entries 0, 5, 10, 15, 30. The second column is labeled distance (miles) with entries 0, 4, 9, 13, 18.
Which range of time values describes the entire interval over which she would be interpolating?

0 to 5 minutes
0 to 18 minutes
0 to 30 minutes
18 to 30 minutes

Answers

Answer:

0 to 30 minutes on edg.

Step-by-step explanation:

Answer:

c on e 2020

Step-by-step explanation:

A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.

A. What is the slant height of the pyramid?

B. What is the surface area of the composite figure?

HINT: The surface area consists of lateral faces of the inside of the inverted pyramid and the remaining 5 faces of the cube.

C. How many cubic yards of concrete are needed to make the planter?

Answers

Answer:

Step-by-step explanation:

A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore

Opposite side = 2/2 = 1 yrd

Slant height, L = hypotenuse

Adjacent side = 2 yrd

Hypotenuse² = opposite side² + adjacent side²

L² = 1² + 2² = 5

L = √5 = 2.24 yrds

Slant height = 2.24 yrds

B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24

Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²

Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²

surface area of composite figure = 20 + 8.96 = 28.96 yrds²

C) volume = 1/3 × base area × height

Volume = 1/3 × 2² × 2 = 2.67 yrds³

Find the vertex of the parabola. Write your answer as an ordered pair.



y equals 2 x squared plus 3

Answers

Answer:

(0,3)

Step-by-step explanation:

When X=0, Y=3

Evaluate [tex]\int\limits^e_0 {\frac{1}{x} } \, dx[/tex]

1

e^2-1/(1)

0

The integral diverges.

I think it is the last option, but I am not entirely sure.

Answers

Answer:

The integral diverges.

Step-by-step explanation:

∫₀ᵉ 1/x dx

(ln|x| + C) |₀ᵉ

ln|x| is undefined as x approaches 0, so the integral diverges.

Is -20.33 rational or irrational?

Answers

Answer:

No it is irrational (looked at it wrong)

The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
orx?
2/3 pi x ^3
4/3 pi x ^2
2 pi x^3
4 pi x ^3

Answers

Answer:

This first expression is correct

V= 2/3*pi*r³

Step-by-step explanation:

This problem bothers on the volume of a cone

We know that the volume of a cone is expressed as

V= 1/3πr²h

Given that h= 2r

Let us substitute h=2r in the formula above

V= 1/3πr²*2r

V= 2/3πr³

The Answer Is:

2/3pix^3

if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all

Answers

Answer:

rock: not rock

7:13

Step-by-step explanation:

First determine how many songs are not rock

60-21 = 39

There are 39 songs that are not rock

ratio of rock to not rock

rock: not rock

21:39

We can divide by 3

21/3:39/3

7 : 13

evacuate 3 1.5 + 2 2.3

Answers

Answer:

53.8

Step-by-step explanation:

31.5 + 22.3

53.8

Hope it helps

Answer:

[tex]53.8[/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: \: 31.5 \\ + 22.3 \\ = 53.8[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

You are balancing your checkbook. Your beginning balance is $595.00. You wrote two checks for $30.00 each and then you wrote another check for $775.00. How much is in your checking account now?

Answers

Answer:

- 220

Step-by-step explanation:

Add the 2 checks for 30 each.

30+30=60

Add 60 and 775.

755+60=815

That is how much you took out

Subtract.

595-815=-220

help me write in scientific notation <3

5,540,000,000 = ____________

0.000025409 = ____________

Answers

Answer:

<3 I want brainliest!!!

Step-by-step explanation:

1) 5.54 x 10^9

2) 2.5409 x 10^-5

Billy graphed the system of linear equations to find an approximate solution.
y=-7/4x + 5/2
y=3/4x-3

Answers

Answer:

(2.2, -1.35)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

The solution set to the systems of equations is where the 2 lines intersect.

Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.

What is the probability that the sequence is guessed on the first try?

StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third

Answers

Answer:

1/24

Step-by-step explanation:

i just took it

The probability that the sequence is guessed on the first try is 1/24.

Probability

Total colors available for making code=4

Colors required for making code=3

Hence:

Total ways of making code=4p3=4!/(4-3)!

=4×3×2×1/1

=24

Probability that the sequence is guessed on the first try=1/Total ways of making code

Probability that the sequence is guessed on the first try=1/24

Therefore the correct option is A.

Learn more about probability here:https://brainly.com/question/24756209

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Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. What will be the area of the front face of his model? 2,500 square millimeters 10,000 square millimeters 12,500 square millimeters 15,000 square millimeters

Answers

The image of the front of the tower is missing, so i have attached it.

Answer:

Option B - 10,000 square millimeters

Step-by-step explanation:

From the image attached, we see that the dimensions of the front of the tower are;

Length; L = 200 mm

Width; w = 50 mm

Now, this front face takes the shape of a rectangle.

Area of rectangle = Length x width

Thus, plugging in the values of length and width, we will get;

Area of front face = 200 x 50

Area of front face = 10,000 square millimeters

Answer:

12,500 mm^2

Step-by-step explanation:

50 x 200 = 10,000 mm

(300 - 200 = 100) 100 x 50 x 1/2 = 2,500 mm

10,000 + 2,500 = 12,500 mm^2

2. Which situation leads to a unit cost of $4 per football ticket? (Hint: Find Unit Rate of Each)
A. $6 paid for 2 football tickets
B. $8 paid for 4 football tickets
C. 6 football tickets for $24
D. 10 football tickets for $50

Answers

Answer:

C

Step-by-step explanation:

A. 6/2=3

B. 8/4=2

C. 24/6= 4

D. 50/10=5

21 radical sign p^-4/p^3

Answers

Answer: [tex]p^-^\frac{1}{3}[/tex]

[tex]\sqrt[21]{\frac{p^-^4}{p^3} }[/tex]

[tex]\sqrt[21]{p^-^4^-^3}[/tex]

[tex]\sqrt[21]{p^-^7}[/tex]

[tex]\sqrt[21]{\frac{1}{p^7}}[/tex]

[tex]\frac{\sqrt[21]{1} }{\sqrt[21]{p^7} }[/tex]

[tex]\frac{1}{p^\frac{7}{21} }=\frac{1}{p^\frac{1}{3} }=p^-^\frac{1}{3}[/tex]

How do you do this and what’s the solution?

Answers

Answer:

Step-by-step explanation

diameter makes a right angle at the circumference of the circle.

f=90°

Answer:

f= 90

I hope this helps you!!

plzzzzzzzzzzzzzaaaaaa

Answers

Answer:

C

Step-by-step explanation:

[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]

Therefore, the answer is C. Hope this helps!






I am Giving 50 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?

Answers

7/16 maybe

...............

Answer:

7/16

Step-by-step explanation:

the relative

frequency probability that a randomly

selected pastry will be a chocolate

pastry is 7/16

Starting at home, Michael traveled uphill to the gift store for 25 minutes and just 10 mph. He then travel back home along the same path downhill at the speed of 30 mph.

What is his average speed for the entire trip from home to the gift store and back?

Answers

Answer:it took him 8 minutes on the return trip, for a round-trip time of 32 minutes. his average speed was (8mi/32min) (60min/hr)=15 mph for the whole trip

Step-by-step explanation:

In a classroom of 20 students, 70% of them have brown eyes. If a teacher picks two students
at random to pass out supplies, what is the probability he chooses two students without brown
eyes?
49
A)
100
B)
91
190
3
C)
38
9
D)
100

Answers

Answer:

The probability is 9/100

Step-by-step explanation:

First, we know that 70% of the students are with brown eyes. Since we have a total of 20 students, this corresponds to 70/100 * 20 = 14 students

The number of students without brown eyes is thus 20 -14 = 6 students

Now, the probability of selecting a student without brown eyes is 14/20 = 7/10 while the probability of selecting a student with brown eyes is 6/20 = 3/10

Now the probability of selecting two students without brown eyes mean, the first selected is without brown eyes and also the second selected is without brown eyes.

In probability, once we have the work and, we multiply.

So our answer here is 3/10 * 3/10 = 9/100

1. A man has 5 grandchildren, 4 girls and 1 boy. He thinks this is unusual. If the probability that any child born
will be a girl is 1/2, what is the probability that a person who has 5 grandchildren will have exactly 4
granddaughters? Is this case unusual? Explain.
2 To be on the safe side three detectors were installed in a facton moon

Answers

Answer:

6.25%

Step-by-step explanation:

To know the final probability that this has happened, we must multiply the probability of each event, they tell us that the probability that it is a girl is 1/2 and this happened 4 times, therefore:

(1/2) ^ 4 = 0.0625

that is, the probability that 4 girls are born is 6.25%

an unusual probability is considered when it is less than 5%, therefore, although it approaches this figure, it is not unusual

Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back
home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home
at 9:30 pm
The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in
hours!
Complete the sentences below based on the graph of the function.
. Sean's workplace is located km from his home.
• Sean's speed when he was driving to work was km h.
. Sean's speed between 5 p.m. and 7 p.m. was km h.

Answers

Complete question

High School Mathematics 5+3 pts

Today, Sean left home at 8 a.m., drove to work, and worked from 9 a.m. until 5 p.m. On the drive back

home. Sean got stuck in slow-moving traffic for 2 hours, then stopped to have dinner, and finally got home

at 9:30 pm

The graph below shows Sean's distance, d from his home (in kilometers) as a function of the time, t (in

hours!

Complete the sentences below based on the graph of the function.

. Sean's workplace is located _____km from his home.

• Sean's speed when he was driving to work was ___ km/h.

. Sean's speed between 5 p.m. and 7 p.m. was _____km/h.

Answer:

Sean's workplace is located 20km from his home.

Sean's speed when he was driving to work was 20 km/h.

Sean's speed between 5pm and 7pm was 5 km/h.

Step-by-step explanation:

The formula for Speed = Distance in km ÷ Time in hours

a) Form the graph, we can see that Sean's workplace is located 20km from his home.

b) From the graph,

the distance from Sean's workplace from his home = 20km

We were told in the question that he drove from 8am - 9am.

This means Sean drove for 1 hour.

Since Speed = Distance in km ÷ Time in hours

Sean's speed = 20km ÷ 1 hour

= 20km/h

Therefore, Sean's speed when he was driving to work was 20 km/h.

c) From the graph, we can see that the distance Sean travelled was 10km from 5pm to 7pm

The time is from 5pm to 7pm, this means 2 hours

Speed = Distance in km ÷ Time in hours

Sean's Speed between 5pm to 7pm = 10km ÷ 2 hours

= 5km/hr

Therefore, Sean's speed between 5pm and 7pm was 5 km/h.

HELPPPPP I HAVE NO CLUE ON WHAT TO DO

Answers

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

Which expression is equivalent to the following complex fraction?

(SEE PICTURE / TROLL ANSWERS WILL BE REPORTED / e d g e n u i t y 2020)

[tex]-\frac{2}{x} + \frac{5}{y}[/tex] / [tex]\frac{3}{y} -\frac{2}{x}[/tex]
(I THINK IT MIGHT BE THE 1st or 2nd option

Answers

Answer:

A. -2y+5x/3x-2y

Step-by-step explanation:

Given the complex fraction;

[tex]-\frac{2}{x} +\frac{5}{y} / \frac{3}{y} - \frac{2}{x} \\[/tex]

First we will find the LCM of the numerator and the denominator as shown below;

[tex]\frac{-2y+5x}{xy} /\frac{3x-2y}{xy}[/tex]

Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;

[tex]= \frac{-2y+5x}{xy} * \frac{xy}{3x-2y} \\= \frac{-2y+5x}{3x-2y} \\[/tex]

This gives the required answer

write the equation of a line through the points (2,3) and (-1,-9)

Answers

Answer:

with the points (2,3) and (-1,-9) the answer is y=4x+10

Step-by-step explanation:

you have to do (x1,y1) (x2,y2) thats for each point

the equation to get the slope is y2-y1 divided by x2,x1

to get the y-intercept to plug in one of the points to the slope-intercept equation

y=4x+5

I picked the points (2,3) but you should get the same answer with the other points

3=4(2)=5

3=8+5

3=13

-3+-3

=10 thats your y intercept.

What is the image point of (3,-8) after a translation left 2 units and up 5 units?

Answers

The new image point will be at (1,-3)

Mei is carrying seven pages of math homework and six pages of English homework.A gust of wind blows the pages out of her hands and she is only able to recover seven random pages what is the probability that she recovers exactly three pages of her math homework

Answers

Answer:

probability of recovering exactly 3 pages of homework = 35/286

Step-by-step explanation:

She carries seven pages of math homework and six pages of English.

Thus, total pages = 7 + 6 = 13 pages.

Now, wind blows all the 13 pages out of her hands, we want to find out the probability of recovering exactly 3 pages of homework.

There are a total of 7 pages of maths homework from the question.

Thus,

First page = 7/13

Second page = 6/12

Third page = 5/11

So,probability of recovering exactly 3 pages of homework = (7/13) * (6/12) * (5/11) = 35/286

Use only the digits 0 - 9 and the decimal and the negative sign, if needed, to fill in the blank. If f(x) = 3x – 8, then f(-4.7) = _____.

Answers

Answer:

-22.1

Step-by-step explanation:

f(x) = 3x – 8,

Let x = -4.7

f(-4.7) =3(-4.7) -8

        =-14.1-8

        -22.1

-22.1 is the answer

Hope this helps
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