Answer:
b= 4 in.
Step-by-step explanation:
Ok. So the area of a triangle is base * height divided by 2.
So, the base is b and the height is 3b.
b*3b= 3b^2.
Now, divide that by 2.
(3b^2)/2.
Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.
(3b^2)/2 = 24
3b^2 = 48
b^2 = 16
Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.
Answer:
+4 in
Step-by-step explanation:
A= 1/2 x b x h
24=1/2 x b x 3b
b2=16
b=+4 or -4(N/A)
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.
Answer:a
Step-by-step explanation:
Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Step-by-step explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm
What is the value of the digit 7 in 273480000
Answer:
7000.0000
Step-by-step explanation:
Answer:
The value of the digit 7 in 273,480,000 is 70,000,000
Step-by-step explanation:
This number (in worded form) is Two Hundred and Seventy Three Million, Four Hundred and Eighty Thousand, and you can very clearly see that it's 70,000,000.
Ismael uses Cavalieri's principle to show that the cylinder and rectangular prism
have the same volume.
350
The base of the rectangular prism is 3.5 feet long. How wide is the base of the
prism?
Answer:
I think 48
Step-by-step explanation:
by adding
The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.
Answer:
Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
the edge of a tile is trimmed to make it fit along the edge of the shower. the diagram shows the angles that was cut. what is the value of x?
Answer:
x° = 77.7°
Step-by-step explanation:
We know that the interior angles within a quadrilateral add up to 360 degrees. We are provided with two right angles and a third angle of 102.3°. So we must solve to find x.
90 + 90 = 180
102.3 + 180 = 282.3
360 - 282.3 = 77.7
x = 77.7 degrees
if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?
Answer:
8 bags
Step-by-step explanation:
If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.
Find the missing side
Answer:
B
Step-by-step explanation:
cos(35)=x/15
15cos(35)=x
x=12.3
The radius of a circle is 17 in. Find its area in terms of π.
A≈907.92in²
Because:
A=πr2=π·172≈907.92028in²
Answer:
289π or 907.46 in
Step-by-step explanation:
The formula for area of a circle is π r².
The radius is 17, so the first step is 17².
17²= 289
Next, you multiply 289 by pi (3.14).
3.14 x 289 = 907.46.
Therefore, the area in terms of pi is 289π or 907.46 in.
Brianna can rent a scooter for $15.00 plus $0.50 per mile.
Question 1
Part A
Write an equation in which t is the cost to rent a scooter and m is the number of miles she rode the scooter.
Enter the correct answer in the box.
Answer:
you can say y=0.50m+15t
Or these questions, non-integer answers should be entered as a decimal rounded to the hundredths place. Samantha won a trip to Europe in a contest she had entered. Rather than take the trip, she opted to take the cash value of the prize and put it in a savings account she uses as a college fund. She plans to keep this money in the college fund and let it earn interest for 8 years. At the end of 8 years, she'll use the total balance to help pay for tuition at law school. The equation below represents the total dollars, f(x), in her college fund after x years.
Answer:
Domain : [tex]0 \le x \le 8[/tex]
Range : [tex]5450 \le f(x) \le 6588.65[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5450(1.024)^x[/tex]
Required
Domain: [tex][\ ] \le x\ [\ ][/tex]
Range: [tex][\ ] \le f(x)\ [\ ][/tex]
See attachment for complete question
Calculating the domain:
At the instance when she keeps the money in the college fund;
[tex]x = 0[/tex] ---- 0 years
She plans to wait till the 8th year.
[tex]x = 8[/tex]
Hence, the domain is:
[tex]0 \le x \le 8[/tex]
Calculating the range:
We have:
[tex]f(x) = 5450(1.024)^x[/tex]
When: [tex]x = 0[/tex]
[tex]f(0) = 5450 * 1.024^0[/tex]
[tex]f(0) = 5450 * 1[/tex]
[tex]f(0) = 5450[/tex]
When [tex]x = 8[/tex]
[tex]f(8)=5450 * 1.024^8[/tex]
[tex]f(8)=6588.65[/tex]
Hence, the range is: [tex]5450 \le f(x) \le 6588.65[/tex]
Answer:
domain- [tex]0\leq x \leq 8\\\\[/tex]
range- [tex]5450\leq f(x)\leq 6588.65[/tex]
Step-by-step explanation:
Got it right on edmentum
Please help I need an answer soon
Answer:
I think D
Step-by-step explanation:
I think mean is center, or the center of the data. Range is the spread of data, or how far it is spread.
what value of y makes (-3, y) a solution to the equation 2y= 3x -1 ?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: y = -5
Explanation:
2y = 3(-3) - 1
2y = -9 - 1
2y = -10
y = -5
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
what is the slope of a line perpendicular to the line whose equation is y=2/3x+7 fully simplify your answer
Answer:
Not linear
Step-by-step explanation:
This equation does not have a set slope.
PLZ HELP I GIVE FIRST PERSON BRAINLIEST!!!!!
DO AS MANY AS YOU WANT
Answer:
Trapezoid area:
A = 1/2(a + b)h, where a, b - bases , h - height17. a)a = RS = 4 unitsb = AT = 8 unitsh = 8 units, the distance between RS and ATA = 1/2(4 + 8)*8 = 48 units²
17. b)a = SK = 4 unitsb = OC = 10 unitsh = SO = 6 unitsA = 1/2(4 + 10)*6 = 42 units²
18. a)a = ME = 6 unitsb = AZ = 10 unitsh = MA = 8 unitsA = 1/2(6 + 10)*8 = 64 units²
Area of trapezoid:
Line RS: 2x2 = 4 units (first base)
Line TA: 4x2 = 8 units (second base)
The height (aka that x-axis inside shape): 4x2 = 8 units (h)
Area formula: (4 + 8)8 ÷ 2
= (4 + 8)8 ÷ 2
= 12(8) ÷ 2
= 96 ÷ 2
ANSWER = 48 sq. units
____________________________________________________________
Area of trapezoid:
Line SK: 2x2 = 4 units (first base)
Line OC: 5x2 = 10 units (second base)
Line SO (height): 3x2 = 6 units (h)
Area formula: (b1 + b2)h ÷ 2
= (4 + 10)6 ÷ 2
= 14(6) ÷ 2
= 84 ÷ 2
ANSWER = 42 sq. units
____________________________________________________________
Area of trapezoid:
Line ME: 6 units (first base)
Line AZ: 10 units (second base)
Line MA (height): 8 units (h)
Area formula: (b1 + b2)h ÷ 2
= (6 + 10)8 ÷ 2
= (16)8 ÷ 2
= 128 ÷ 2
= 64
ANSWER = 64 sq. units
A certain flight requires 3/8 of an hour if the plane has been flying for 1/4 of an hour what fraction of an hour remains before landing
A circle has a diameter of 8 cm. What is the circumference? Round to
the nearest hundredth.
Answer:
C≈25.13cm
Step-by-step explanation:
C=πd=π·8≈25.13274cm
d=2r
C=2πr
(hope this helps)
Step-by-step explanation:
area of a cicle is π[tex]r^{2}[/tex]
the diameter is twice as long as the radius so the radius would have a length of 4 cm.
π[tex]4^{2}[/tex]=50.27
Hope that helps :)
In a survey 7 out of 8 dentists recommend a ProTooth toothbrush. Based on this information, which can the toothbrush company predict about its recommendations?
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 40 dentists, 33 of them will recommend a ProTooth toothbrush
Answer:
64 dentists, 56 of them will recommend
Step-by-step explanation:
I just continued to add 8 more dentists with there recommended outcome until it showed a matching prediction.
Answer:
C. In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
Step-by-step explanation:
i did this
lines m and p are cut by the transversal n. determine the value of x. write the measures of the six angles. show all work
Answer:
x = 36°
m<1 = 36°
m<2 = 144°
m<3 = 36°
m<4 = 144°
m<5 = 144°
m<6 = 36°
Step-by-step explanation:
✔️x° + 4x° = 180° (linear angle pair theorem)
5x = 180
x = 180/5
x = 36°
For easy identification, the six angles to be found have been labelled <1 to <6 as shown in the attachment below.
✔️m<1 = x° (vertical angles pair)
m<1 = 36° (substitution)
✔️m<2 = 4x° (vertical angles pair)
Plug in the value of x
m<2 = 4(36)
m<2 = 144°
✔️m<3 = x° (alternate interior angles theorem)
m<3 = 36° (substitution)
✔️m<4 = 4x° (corresponding angles theorem)
m<4 = 4(36) (substitution)
m<4 = 144°
✔️m<5 = 4x° (alternate exterior angles theorem)
m<5 = 4(36)
m<5 = 144°
✔️m<6 = x° (corresponding angles theorem)
m<6 = 36°
m∠A = 50°, c = 25, a = 19, m∠C=?
Using the Sine Law
Answer:
m<C can not be computed
Step-by-step explanation:
m∠A = 50°, c = 25, a = 19, m∠C=?
Using the Sine Law
a/sin m<A = c/sin m<C
Substitute the given values
19/sin50 = 25/sinC
19sinC = 25sin50
19sinC = 19.1511
sinC = 19.1511/19
sinC = 1.0079
C = arcsin1.0079
Hence m<C can not be computed
What is the least common denominator for the fractions below? 2/6 * 1/5
Answer:
1/15
Step-by-step explanation:
2/6 x 1/5 = 2/30
2/30 = 1/15
Answer:
30
Step-by-step explanation:
The volume in a single layer is 18 cubic centermeters. There are 5 layers in the rectangular prism. What is the volume in cubic centimeters of this rectangular prism
Answer:
the volume of the rectangular prism is 90 cm^2
Step-by-step explanation:
The computation of the volume of the rectangular prism is shown below:
Given that
The volume in a single layer is 18 cubic centimeters
And, there are 5 layers in the rectangular prism
So based on the above information
The volume of the rectangular prism is
= 5 ×18 cubic centimeters
= 90 cm^2
Hence, the volume of the rectangular prism is 90 cm^2
simplify fully
35x3yz2/21x2y3z
Answer:
[tex]\frac{5xz}{3y^{2} }[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
i is a good game and a good idea but it needs more people who are not the only ones that they were playing in a few weeks ago i dont have a game on joke
7/3 + x=3;x math I really need help
Given:
The equation is:
[tex]\dfrac{7}{3}+x=3[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{7}{3}+x=3[/tex]
Subtract both sides by [tex]\dfrac{7}{3}[/tex].
[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]
[tex]x=\dfrac{9-7}{3}[/tex]
[tex]x=\dfrac{2}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.
A box contains 5 red pens 10 white pens and 20 green pens if one pen is taken out of
the box at random. What is the probability that the pen taken out will be
i) White pen ii) not a red pen
Answer:
Step-by-step explanation:
Firstly, find the total amount of pens
5 + 10 + 20 = 35, Total of 35 pens
White pens: 10/35
Not a red pen: 20 + 10= 30, 30/35
Calculate these to a percentage:
White- 10/35: 28.57%
Not a red pen- 30/35: 85.71%
Which of the following is equal to the rational expression when x = 5 or -3? x^2+x-6/x^2-2x-15
A. X-6/x-5
B. X+3/c-5
C. X-2/X+3
D. X-2/x-5
Answer:
C. X-2/X+3
Step-by-step explanation:
(4/x) + (4/y) / (16/x2y2) is where we start. I will factor out
1/(16/x2y2).
(1/(16/x2y2)) (64xy2 + 4/y) = (x2y2/16)(64xy2 + 4/y)
I need to factor out a 4/y from there.
(x2y/4)(16xy + 1) = x2y (16xy + 1) / 4
i need the solving and the answer please
thank you
Answer:
Step-by-step explanation:
11x - 2° = 75° ( being corresponding angles )
11x = 75° + 2°
11x = 77°
x = 77°/ 11
x = 7°
hope it helps :)
Which of the following shows the two lines of reflection that produce an equivalent transformation of the translation △STU→△S'T'U'?
Answer:
The correct option is;
The fourth option
Please the attached drawing created with MS Visio
Step-by-step explanation:
From the given figure, we have;
The orientation of ΔSTU is equal to the orientation of ΔS'T'U'
When the plane of reflection is assumed to be the y-axis, we have;
For a reflection about the y-axis, we have;
The coordinate of the preimage = (x, y)
The coordinate of the image after the reflection = (-x, y)
When the image (-x, y) is reflected again across the y-axis, and becomes the image, we have;
The coordinate of the preimage = (-x, y)
The coordinate of the image after the reflection = (x, y)
Therefore, a reflection twice across the same y-axis would result in an image having the same orientation as the preimage
Given that a y-axis is parallel to another y-axis, we have;
A reflection twice across two parallel axis would result in an image having the same orientation as the preimage
The correct option is the 4th option
Please see attached drawing created with MS Visio
Answer:
the fourth one
Step-by-step explanation:
The pre-image and image of the translation are given.
To find the lines of reflection, locate a midpoint M of the translation vector between any two corresponding points on the pre-image and image.
The figure shows two congruent triangles S T U and S prime T prime U prime.
Then find the midpoints of SM and MS'.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. Point K is a midpoint of segment M S. Point N is a midpoint of segment M S prime.
The lines of reflection are perpendicular to the vector and intersect with the vector at the second set of midpoints by the Theorem of composition of two reflections across two parallel lines.
The figure shows the same triangles S T U and S prime T prime U prime as in the previous figure. There are two lines. The first line passes through point K. The second line passes through point N. These lines are perpendicular to segment S, S prime.
Therefore, the correct graph is the fourth one.
The measure of two angles are (3x+50) and (4x - 10). What must be true
about the angles if x = 20? What is the sum of their measures?
Answer: The two angles add up to 180 so they are supplementary angles.
The sum of their measures is 180 degrees.
Step-by-step explanation:
Plug in given value for x.
x=20
(3x+50)=
(60+50)=110
110
(4x-10)=
80-10=70
70
There are several true things about these angles you can find from this information but I think you are looking for the answer at top.
Please look at picture and ignore selected answers
Answer:
Step-by-step explanation:
Everything is right except the second one. It is acute as all the angles are under 90 degrees.
A)obtuse
B)acute
C)right
D) right
Solve the following system of equations using the substitution method.
x=2y
2x+5y=9
x=
y=
Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
----------------------------------------------------------------------------
2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
-----------------------------------------------------------------------
plug in y value to x=2y
so x=2(1)
x=2