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:
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.
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
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 .
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
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?
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
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.
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?
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
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
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
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?
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 = ____________
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
Answer:
(2.2, -1.35)
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-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
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.
ProbabilityTotal 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.
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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
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
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
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?
Answer:
Step-by-step explanation
diameter makes a right angle at the circumference of the circle.
f=90°
plzzzzzzzzzzzzzaaaaaa
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?
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?
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
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
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.
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
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
Answer:
A. -2y+5x/3x-2yStep-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)
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?
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
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) = _____.
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
