You are building a gazebo for your mom; you want it to look like the picture below.
a. Using geometry, name which quadrilaterals you see in the picture.
b. What type of quadrilateral is each side of the roof (see inset)?
c. What specific type must it be in order for each side of the roof to fit properly?
d. What is the length of the opposite leg on the side of the roof?
e. What measure is the other base angle?
f. What is the measure of the opposite angles?
Answers
Answer:
a. 1. Trapezoid
2. Rectangle
b. Trapezoid
c. Isosceles trapezoid
d. 6 feet
e. 65°
f. 115°
Step-by-step explanation:
a. The observed quadrilaterals are;
1. Trapezoid
2. Rectangle
b. Trapezoid
c. Isosceles trapezoid
d. Whereby we have an isosceles trapezoid, the leg lengths are equal. therefore since one of the leg lengths = 6 feet, the other opposite leg on the side of the roof = 6 feet
e. The base angles of an isosceles triangle are equal, therefore, the other base angle is equal to the labelled base angle or 65°
f. The sum of the opposite angles in an isosceles trapezoid = 180°
∴ 65° + Opposite angle = 180°
Opposite angle = 180° - 65° = 115°.
Related Questions
Need help...with this graph
Answers
Answer:
The graph with coordinates x6,y8
Step-by-step explanation:
if w = 54 what is the value of x
Answers
Answer:
i think it's like this
Step-by-step explanation:
w+7x+3x=180
w+10x=180
54+10x=180
10x=180-54
10x=126
x=126-10
x=116
Answer=116
I hope it's right :)
Which of the following does the graph show?
Answers
Answer:
4, D, or fourth option
Step-by-step explanation:
if x was 3, it would be greater
Answer:
thw last one
Step-by-step explanation:
the circle is colored in so it has to be more than or equal to/ less than or equal to ( basically the sign will have a line under it) and then the sign should be pointing the direction the arrow is pointing
Which equation correctly represents the distance between - 15.1 and -3.9 on a number line?
- 3.9 - (-15.1)] = 11.2
-3.9 - 15.1 = -11.2
|- 15.2 + (-3.9) |= 19
-15.1 - 3.9 = -19
Answers
Answer:
Step-by-step explanation:
Keep in mind that distance is positive, not negative. Eliminate the negative results.
- 3.9 - (-15.1)] = 11.2 is correct. -(-15.1) - 3.9 is approximately 15 - 4, or 11, which agrees with the 11.2 correct result.
which choice is equivalent to the quotient shown here when x>0
Answers
Answer:
D
Step-by-step explanation:
Answer:
C. x sqrt 5
I hope this helps! I just took the quiz
-6 + 4 i need help plz
Answers
The answer is -2
13. If 3 times a number minus 2 equals 13, what is the number?
A. 4
old
B. -6
OOOO
C.5
D.2
Answers
Answer:
5
Step-by-step explanation:
Answer:
The number is 5
Step-by-step explanation:
3x -2 = 13
Add 2 to each side
3x-2+2 = 13+2
3x = 15
Divide each side by 3
3x/3 = 15/3
x = 5
Find the value of x in each case. Give reasons to justify your solutions! NEEDED ASAP
Answers
Answer:
( x = 17° )
Step-by-step explanation:
Consider the following steps;
[tex]m< ZYW = 2x - Given,\\m< YXW = ( 3x - 5 ) - Given,\\m< XYW = 90 - Given,\\\\m< YXW + m< XYW + m< YWX = 180 - Sum of Angles in Triangle,\\( 3x - 5 ) + 90 + m< YWX = 180,\\3x - 5 + 90 + m< YWX = 180,\\3x - 5 + m< YWX = 90,\\m< YWX = 90 - 3x - 5,\\m< YWX = 85 - 3x,\\\\m< ZYW = m< YWX - Alternate Interior Angles,\\2x = 85 - 3x,\\5x = 85,\\Conclusion ; ( x = 17 degrees )[/tex]
Solution ; ( x = 17° )
Slope=8/5, y-intercept =-4
Answers
Hope this helps!
Use mathematical
reasoning to explain how
someone can predict the
number of people that will
become infected based on
the number of days in
school.
Answers
Answer:
This is a pretty broad question but im guessing you could use math to calculate how many people would get infected each day. You could start with
Ex.
Okay if we have one infected person how many people could they possibly pass the illness onto the next day. Well if they have x number of classes and see y number of people in those classes whats the PROBABILIITY one of those people gets the virus. Than you could calculate how many people will get infected the NEXT day.
Can someone help me with this question?
The one-year survival rate for pancreatic cancer is 20%. Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year. What is the probability of that happening.
Answers
Answer:
The required probability is 0.0155.
Step-by-step explanation:
We are given that the one-year survival rate for pancreatic cancer is 20%.
Of 12 people diagnosed with pancreatic cancer at one hospital, 6 survived one year.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......[/tex]
where, n = number of trials (samples) taken = 12 people
r = number of success = 6 survived
p = probability of success which in our question is probability of
one-year survival rate for pancreatic cancer, i.e; p = 20%
Let X = Number of people survived one year
So, X ~ Binom(n = 12 , p = 0.20)
Now, the probability that 6 survived one year is given by = P(X = 6)
P(X = 6) = [tex]\binom{12}{6} \times 0.20^{6} \times (1-0.20)^{12-6}[/tex]
= [tex]924 \times 0.20^{6} \times 0.80^{6}[/tex]
= 0.0155
What are two main purposes of all business?
deeloping communities ingraece
improving pubic image
incurring costs
macming profits
Answers
Answer:
Developing communities ingraece and improving pubic image is the correct answer to the given question
Explanation:
Following are the purposes of all business is given below
Giving the maximum profit to the owner of the business .Providing the social profit to the people as well as improving the pubic image in the environment .The business sometimes is creating the customer kindness in the organization .The business main objective to increasing the local jobs as well as in the disposable income.All the other option are not correct as we compare to the public environment so these are incorrect option .Answer:
earning revenue
maximizing profits
A group of 72 children completed a survey on what kind of sport they like. The choices were: Chess, Swimming, and Football. Everyone liked at least one sport except 7 kids, which doesn't like any of these three kind of sports. 12 children liked Chess and Football but not Swimming, 16 children liked Chess and Swimming but not Football, 8 children liked Swimming and Football but not Chess, 10 children liked Chess only, 40 children liked Swimming, 32 student liked Football.
a)Find the number of kids who liked Swimming and Football.
b)What is the probability that a randomly-chosen child from this group likes either Chess or Swimming but not Football?
c)What is the probability that a randomly-chosen child from this group does not like active kinds of sport?
Answers
Answer:
see below
Step-by-step explanation:
Let C = chess
S = swimming
F = football
x = football only
y = all three sports
z = swimming only
x+y+ 8+12 = 32 those who like football
y+z+8+16 = 40 those who like swimming
7+x+8+y+12+10+16+z = 72 all children
Simplifying these equations
x+y = 32-20 = 12
y+z = 40-24 = 16
x+y +z = 72-53 = 19
Substituting x+y = 12 into the last equation
12 +z = 19
z = 7
y+z = 16
y = 9
x+y =12
x =5
Swimming only is 7
Football only is 5
Swimming and football y+8 = 9+8 = 17
P( chess or swimming but not football) = (10+16+z)/ total
=(10+16+7)/ total
=33/72
P( no active sport) = chess only or no sport/total
=(10+7)/72
Plz do it for meee x
Answers
Answer:
2,400cm²
Step-by-step explanation:
FORMULA FOR VOLUME OF A CUBOID = L×B× H
WHERE L is LENGTH =20cm
B=15cm
H= 8cm
:• VOLUME=20cm ×15cm ×8cm
=2,400cm²
Answer:
Volume = 2400 cm³
Step-by-step explanation:
Volume of Cuboid = [tex]Length*Width*Height[/tex]
Where L = 20 cm, W = 8 cm and H = 15 cm
Volume = [tex]20*8*15[/tex]
Volume = 2400 cm³
what is the volume of the prism to the nearest whole unit?
Answers
Answer:
715 in^3; Option D
Step-by-step explanation:
We know that the basic formula for most 3 - dimensional figures is to multiply the base by height. Here the base consists of dimensions 13 by 11, with height 5 inches so that the volume of this rectangular prism can be calculated through the following procedure;
[tex]Base - 13 in * 11 in = 143 in * in = 143 square inches,\\Height - 5 inches,\\Volume of Rectangular Prism - Base * Height = 143 square inches * 5 inches = 715 cubic inches / 715 in^3\\\\Solution; 715 in^3[/tex]
Volume of Prism ⇒ 715 in^3; Option D
AB is included between
A. BC and AC
B.
C. < A and
D. AB and BC
Answers
Answer:
Option C.
Step-by-step explanation:
By the property of unique triangles (ASA), one side is included between the two angles.
By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.
Therefore, [tex]\bar{AB}[/tex] is included between ∠A and ∠B.
Option C. will be the answer.
HELP PLEASE THANKS
Solve N = 3pg^2 - 2pv for v.
Answers
[tex]N=3pg^2-2pv\\\\N+2pv=3pg^2\\\\2pv=3pg^2-N\\\\v=\dfrac{3pg^2-N}{2p}[/tex]
Area of a triangle (picture provided)
Answers
Answer:
C
Step-by-step explanation:
The area of triangles is 1/2 x b x h.
Plug them in!
1/2 x 24 x 35
Simplify.
12 x 35
420 square inches
Greyson finances a car for $19,000. There is an additional $750 in fees, making the APR 5.95%. The interest rate on the loan is
a) 2.5%
b) 1.5%
c) 2.0%
d) 3.0%
Answers
Which parabola will have one real solution with the line y = x – 5? y = x2 + x – 4 y = x2 + 2x – 1 y = x2 + 6x + 9 y = x2 + 7x + 4
Answers
Answer:
y = x² + 7x + 4
Step-by-step explanation:
First option
System of equations:
y = x² + x – 4
y = x – 5
Replacing:
x - 5 = x² + x – 4
0 = x² + x – 4 - x + 5
0 = x² + 1
Discriminant:
b²-4*a*c
0²-4*1*1
-4 < 0 then the equation has no real roots
Second option
System of equations:
y = x² + 2x – 1
y = x – 5
Replacing:
x - 5 = x² + 2x – 1
0 = x² + 2x - 1 - x + 5
0 = x² + x + 4
Discriminant:
b²-4*a*c
1²-4*1*4
-15 < 0 then the equation has no real roots
Third option
System of equations:
y = x² + 6x + 9
y = x – 5
Replacing:
x - 5 = x² + 6x + 9
0 = x² + 6x + 9 - x + 5
0 = x² + 5x + 4
Discriminant:
b²-4*a*c
5²-4*1*4
9 > 0 then the equation has two different real roots
Fourth option
System of equations:
y = x² + 7x + 4
y = x – 5
Replacing:
x - 5 = x² + 7x + 4
0 = x² + 7x + 4 - x + 5
0 = x² + 6x + 9
Discriminant:
b²-4*a*c
6²-4*1*9
0 then the equation has one real root
Answer: y = x² + 7x + 4
Step-by-step explanation:
Trust
Suppose a normal distribution has a mean of 38 and a standard deviation of
2. What is the probability that a data value is between 36 and 43? Round your
answer to the nearest tenth of a percent.
A. 56.5%
B. 62.5%
C. 83.5%
D. 77.5%
SUBMIT
Answers
Answer:
C. 83.5%
Step-by-step explanation:
-1 < z < 2.5
0.9938-0.1587 = 0.8351
83.5%
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for π.)
Answers
The right answer is 113.04cm^3
please see the attached picture for full solution
hope it helps
good luck on your assignment
Answer:
113.04
Step-by-step explanation:
→The formula for the volume of a sphere is:
[tex]V = \frac{4}{3} (3.14)r^3[/tex]
→The "r," is the radius, which is already given as 3.
[tex]V = \frac{4}{3} (3.14)3^3[/tex]
V = 113.04
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?
(5 – 7)2
(5)2 – 7
(5)2(5 – 7)
(5 – 7)x2
Answers
Answer:
Option A.
Step-by-step explanation:
The given question is incomplete. Let as consider we need to find [tex](g\circ h)(5)[/tex]
The given functions are
[tex]h(x)=x-7[/tex]
[tex]g(x)=x^2[/tex]
We need to find the expression for [tex](g\circ h)(5)[/tex].
[tex](g\circ h)(5)=g(h(5))[/tex]
[tex](g\circ h)(5)=g(5-7)[/tex] [tex][\because h(x)=x-7][/tex]
[tex](g\circ h)(5)=(5-7)^2[/tex] [tex][\because g(x)=x^2][/tex]
Therefore, the correct option is A.
Solve h = - 16t2 + 36 for the time t in seconds it takes for the height h to reach 0. Apply the square root method.
Answers
Step-by-step explanation:
I'm not sure what the square root method is, but I'm assuming that you factor.
This is how I would solve it:
[tex]h = - 16 {t}^{2} + 36 \\ 0 = - 16 {t}^{2} + 36 \\ 0 = - 4(4 {t}^{2} - 9) \\ 0 = (2t - 3)(2t + 3) \\ t = \frac{3}{2} \\ t = - \frac{3}{2} [/tex]
Since time can't be negative, you rule out the -3/2.
Answer:
[tex]t = \frac{3}{2}[/tex]
What is the Product?
Answers
Answer:
C
-9,-8 and 2,0
Step-by-step explanation
edge 2021
Choose EVERY true proportion.
AB - DE
OAB - AC
AB - BO
BD
AC
BC
DE
Answers
Answer:
Step-by-step explanation:
I think its 2 and 4.
If f(x) = 3x - 2, find f(4).
Answers
Answer:
10
Step-by-step explanation:
f(x) = 3x - 2
Let x=4
f(4) = 3*4 - 2
=12-2
=10
Answer:
10
Step-by-step explanation:
Replace 4 for all the x values and solve
f(4)=3(4)-2
f(4)=12-2
f(4)=10
x^2 + 4x = 6
solve by completing the square plz show step by step
Answers
Answer:
x = -2 ±sqrt( 10)
Step-by-step explanation:
x^2 + 4x = 6
Take the coefficient of x
4
Divide by 2
4/2 =2
Square it
2^2 =4
Add this to each side
x^2 + 4x+4 = 6+4
Take the 4/2 term which is the factor inside the (x+ )^2
(x+2)^2 = 10
Take the square root of each side
sqrt((x+2)^2) =±sqrt( 10)
x+2 = ±sqrt( 10)
Subtract 2 from each side
x+2-2 = -2±sqrt( 10)
x = -2 ±sqrt( 10)
Answer:
x= +/- \sqrt(10) - 2
Step-by-step explanation:
use the formula (b/2) in order to create a new term.
Solve for x by using the term to complete the square.
Find the volume of a pyramid with a square base, where the area of the base is
12.7 ft- and the height of the pyramid is 17.8 ft. Round your answer to the nearest
tenth of a cubic foot.
Answers
Answer:
Volume, [tex]V= 75.35\ \text{feet}^3[/tex]
Step-by-step explanation:
We have,
Area of the base of of a pyramid with a square base is 12.7 ft
Height of the pyramid is 17.8 ft
It is required to find the volume of of a pyramid with a square base.
The formula used to find the volume of a pyramid with a square base is given by :
[tex]V=\dfrac{1}{3}Ah[/tex]
Plugging all the values in above formula
[tex]V=\dfrac{1}{3}\times 12.7\times 17.8\\\\V=75.35\ \text{feet}^3[/tex]
So, the volume of a pyramid is [tex]75.35\ \text{feet}^3[/tex].
Answer: 75.4 ft^3 when rounded
Step-by-step explanation:
Volume of Pyramid V=1/3BH
Area of base= 12.7
h=17.8
V=1/3 (12.7)(17.8)
V=75.353333
V=75.4 ft^3
Plz help asap, shdhhshdhshxh
Answers
Answer:
The measure of angle 2 is 38 degrees
Step-by-step explanation:
38 degrees and angle 6 are vertical angles and are equivalent. Angle 6 and 2 are alternate interior angles meaning that they are also equivalent. So the angle of measure 2 must be 38 degrees.
Answer: 38 degrees
Step-by-step explanation: angle 8 is an exterior angle to angle 4. Angle 4 is vertical to angle 2 so the answer would be 38 degrees.
HOPE THIS HELPS
