Peter's grandma has a trapezoidal garden, as in the picture.
a) What is the length of the fence of that garden?
b) What is the area of the garden?
The word in the top left corner in the picture is not linked to this task.
Answers
Length of fence = perimeter of trapezoid
= 12 + 6 + 5 + 5
= 28 meters
Area of garden = [tex]h (\frac{base 1 + base2}{2} )[/tex]
= 4([tex]\frac{12+6}{2}[/tex])
= 4 x 9
= 36 sq. meters
Related Questions
if a square+ b square+ c square=90, a+b+c=20 find the value of ab+bc+ca
Answers
Answer: ab + bc + ac = 155
Step-by-step explanation:
Given: a² + b² + c² = 90 and a + b + c = 20
Square the second equation, subtract it from the first equation, then simplify.
Square the second equation:
(a + b + c)² = 20²
a² + b² + c² + 2ab + 2bc + 2ac = 400
Subtract the equations:
a² + b² + c² + 2ab + 2bc + 2ac = 400
- (a² + b² + c² = 90)
2ab + 2bc + 2ac = 310
Simplify:
2(ab + bc + ac) = 310
÷2 ÷2
ab + bc + ac = 155
Scientists were interested in testing a new technique to prevent slipping on ice: wearing socks over boots!
500
500500 volunteers were randomly assigned to two groups. Both groups were asked to walk downhill on an icy road. One group simply wore boots, while the other group wore socks over their boots. All boots and socks were supplied by the scientists.
Once downhill, the participants were asked to indicate the number of times they slipped. Then, the scientists compared the average "slipperiness" score of each group.
What type of statistical study did the scientists use?
Answers
Answer:
The scientist used the experimental statistical study.
Step-by-step explanation:
Statistical study is the process of collecting, analyzing and presentation of data to achieve an accurate conclusion. The major types are: survey, and experimental.
Survey statistical study can easily be achieved by the use of questionnaires to sample the opinion of participants. While experimental statistical study involve the participants observing a process or some procedures before conclusions can be made.
In the given question, the scientist performed an experiment by asking participant to undergo a process before making his conclusion. Thus, he used an experimental statistical study.
Calculate the average rate of change of a function over a specified interval.
Which expression can be used to determine the average rate of change in f(x) over the interval 2, 9?
On a coordinate plane, a curve opens down and to the right. The curve starts at (0, 0) and goes through (1, 3), (4, 6), and (7, 8).
f(9 – 2)
f(9) – f(2)
StartFraction f (9 minus 2) Over 9 minus 2 EndFraction
StartFraction f (9) minus f (2) Over 9 minus 2 EndFraction
Answers
Answer:
D
Step-by-step explanation:
on edge
Answer:
D
Step-by-step explanation:
Find the value of a°
Answers
Answer:
If two vectors are parallel, applying the same side interior angles theorem:
=> 80 + a + 59 = 180
=> a = 180 - 80 - 59 = 41 deg
Hope this helps!
:)
Alternate angles make a "z" shape. Alternate angles are equal
So now that we know the third side of the triangle is equal to 59, we do 180=a+59+80
Move fifty nine and eighty to the other side as negative numbers
a=180-59-80
So, a is equal, to 41 :))
what quadrilaterals have all the attributes of a parallelogram
Answers
Answer:
Rectangles, squares, and rhombus are quadrilaterals that have attributes of a parallelogram.
Step-by-step explanation:
Put the following equation in slope-intercept form: 3x+y=10
Answers
Answer
[tex]y=-3x+10[/tex]
This is the slope-intercept form.
Step-by-step explanation:
Find the domain and range of the function graphed below.
Answers
Answer:
[-1,3) domain i think the video i am watching kinda confusing tell me if i am right
[3,-5) range like i said tell me i got it wrong
Step-by-step explanation:
The domain and the range of a graph is the possible x and y values, the graph can take.
The domain of the function is: [tex]-1 \le x < 3[/tex] .The range of the function is: [tex]3 \ge y > -5[/tex]First, we determine the domain.
On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle
A closed circle is represented by [tex]\ge[/tex] or [tex]\le[/tex], while an open circle is represented > or <
So, the domain of the graph is: [tex]-1 \le x < 3[/tex]
Next, we determine the range.
On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle
Using the explanation of open and closed circle above,
The range of the function is: [tex]3 \ge y > -5[/tex]
Hence, the domain and the range of the graph are: [tex]-1 \le x < 3[/tex] and [tex]3 \ge y > -5[/tex], respectively.
Read more about domain and range at:
https://brainly.com/question/1632425
The parallelogram shown below has an area of 140140140 units^2 2 squared. Find the missing base. b =b=b, equals units
Answers
Answer:
Length of the base of the given parallelogram is 14 units
Step-by-step explanation:
This question is incomplete; Find the complete question in the attachment.
Area of the parallelogram (A) = 140 square units
Height of the parallelogram (h) = 10 units
Since area of the parallelogram = Base × height
A = b × h
140 = b × 10
b = [tex]\frac{140}{10}[/tex]
b = 14 units
Therefore, length of the base of the given parallelogram is 14 units.
Answer:
14 units is the answer I got it right on khan academy.
f(x) = 4^x-
2; find f(1)
Answers
Answer:
f(1) =2
Step-by-step explanation:
f(x) = 4^x- 2
Let x=1
f(1) = 4^1 -2
=4-2
=2
16 ÷ 4 + (1 + 3) =
help asap
Answers
Answer:
8
Step-by-step explanation:
1+3 is 4
16÷4 is 4
4+4 is 8
Answer:
8
Step-by-step explanation:
16
4
+1+3
=4+1+3
=4+4
=8
appreciate anyone help :)
Answers
Answer:
a) t=5
5+5+5=15
b) x=11
11-8=3
or you can add 3 to both sides and x=11
c) w=3
7(3) = 21
21+3=24
or subtract 3 from both sides to get 7w=21
then divide by 7 on both sides to get w=3
Answer:
a) t = 5
b) x= 5
c) w= 3
Which expression is equivalent to (2x to 4 y) 3 exponent?
Answers
Answer:
The answer is D hope that’s helps !
Step-by-step explanation:
8X^12Y^3
How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit proper explanation and gives the crct answer as brainliest....
Thank you so much
Answers
Answer:
10.89
Step-by-step explanation:
Circle:
C = TTD
C = TT(6.6)
C = 20.73451151
C = 20.73
Triangle:
A = bh/2
A = 6.6(3.3)/2 6.6/2=3.3
A = 21.78/2
A = 10.89
Shaded Region = 10.89
What is the slope of the line given by the equation y = -2x?
Answers
Answer: -2
Step-by-step explanation: This equation is written in y = mx + b form.
The slope is the multiplier or the coefficient of
the x-term whcih in this case is -2/
Answer:
-2
Step-by-step explanation:
slope is number next to x in equation y = mx + b
Point b has coordinates (-8,15) and lies on the circle whose equation is x^2+y^2=289. If an angles is drawn in standard position with its terminal ray extending through point b, what is the cosine of the angle?
Answers
Answer:
[tex]\cos \theta=-\dfrac{8}{17}[/tex]
Step-by-step explanation:
Coordinates of Point b[tex]=(-8,15)[/tex]
b lies on the circle whose equation is [tex]x^2+y^2=289[/tex]
[tex]x^2+y^2=17^2[/tex]
Comparing with the general form a circle with center at the origin: [tex]x^2+y^2=r^2[/tex]
The radius of the circle =17 which is the length of the hypotenuse of the terminal ray through point b.
For an angle drawn in standard position through point b,
x=-8 which is negative
y=15 which is positive
Therefore, the angle is in Quadrant II.
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse} \\$Adjacent=-8\\Hypotenuse=17\\\cos \theta=\dfrac{-8}{17} \\\cos \theta=-\dfrac{8}{17}[/tex]
The angle measurement in the diagram are represented by the following expressions
Answers
Answer:
As shown in picture:
angle A = angle B
or
8x + 6 = 4x + 38
=> 4x = 32
=> x = 8
=> B = 4*x + 38 = 4*8 + 38 = 32 + 38 = 70 deg
Answer:
[tex]B = 70 \: \: degrees[/tex]
Step-by-step explanation:
[tex]8x + 6 = 4x + 38 \\8 x - 4x = 38 - 6 \\ 4x = 32 \\ \frac{4x}{4} = \frac{32}{4} \\ x = 8[/tex]
B = 4x+38[tex]4x + 38 \\ 4 \times 8 + 38 \\ 32 + 38 \\ = 70 \: \: degrees[/tex]
The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?
Answers
Answer:
£800
Step-by-step explanation:
For this question we need to utilise decimal multiplier. Since this is a decrease question to work out the decimal multiplier you have take 100 away from the percentage and then divide by 100. If this was an increase question then we would had to add 100 to the percentage and then divide by 100. Since the question is asking for the price before the decrease we are going to have to divide the multiplier by the price so,
⇒ Work out the multiplier by taking 100 away from the percentage and then dividing by 100
→ 100 - 20 = 80 ↔ 80 ÷ 100 = 0.8
⇒ The multiplier is 0.8, now we have to divide the multiplier by the price
→ 640 ÷ 0.8 = 800
The price of a washing machine was decreased by 20% to £640. The price before the decrease was £800
Omg, I need help! A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Help anyone?
Answers
Answer:
Average size of the lots = ⅓ acre
Step-by-step explanation:
The question incomplete without specifying what we are to determine.
Question:A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Organize the information in a line plot. What is the average size of the lots? _________ acre
Help anyone?
Solution:
We are asked to organize the information in a line plot. See attachment for the line plot.
Given: 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X'sIn no particular order, the sizes of the lots are:1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 1/3, 1/2, 1/2, 1/2, 1/2, 1/2 and 1/2 acre.
Let's count the number of lot for each size given.
For 1/6: there are 6 X's on the line plot of 1/6 number of lot for 1/6
= the lot × number of times it occurs
= (1/6) × 6 = 6/6 = 1 acre
For 1/3: there are 3 X's on the line plot of 1/3 number of lot for 1/3 = the lot × number of times it occurs
= (1/3) × 3 = 3/3 = 1 acre
For 1/2: there are 6 X's on the line plot of 1/2 number of lot for 1/2
= the lot × number of times it occurs
= (1/2) × 6 = 6/2= 3 acres
To find average size of the lots, we would sum all lot for each given size then divide by the total number of lots given.Sum of all lot for each given size = 1+1+3
Sum of all lot for each given size = 5
The total number of lots given = 15
Average size of the lots = 5/15 = 1/3
Average size of the lots = ⅓ acre
Which is solution to the question (x-3)(x-5)=35
X = -8
X = -5
X = 2
X = 10
Answers
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST
Based on the box-and-whisker plot shown below, match each term with the correct value.
I need this:
Median:
Range:
25th Percentile:
75th Percentile:
Inter-quartile Range:
Answers
Answer:
Median: 11
Range: 12
25% percentile: 9
75% percentile: 14
IQR: 5
Step-by-step explanation:
Least: 7
Q1: 9
Q2: 11
Q3: 14
Max: 19
Median: 11
Range: 19 - 7 = 12
25% percentile: 9
75% percentile: 14
IQR: 14 - 9 = 5
Step-by-step explanation:
Step 1: Find the median
The median on the box-and-whisker plot is the line that is inside of the box. On this plot, the median is 11 since it is where the line is.
Step 2: Find the range
The range on a box-and-whisker plot is the difference from the largest point and the smallest point. On this plot, the largest point is 19 and the smallest point is 7. So, subtract 7 from 19 and you get that the range is 12.
Step 3: Find the 25th percentile
The 25th percentile on a box-and-whisker plot is the left side of the box object. On this plot, the 25th percentile is 9.
Step 4: Find the 75th percentile
The 75th percentile on a box-and-whisker plot is the right side of the box object. On this plot, the 75th percentile is 14.
Step 5: Find the inter-quartile range
The inter-quartile range on a box-and-whisker plot is the difference between the 75th percentile or right side of the box and the 25th percentile or the left side of the box. On this plot, the 75th percentile is 14 and the 25th percentile is 9. So, subtract 9 from 14 and you get that the inter-quartile range is 5.
What is the measure of the unknown angle?
A. 60°
B. 63°
C. 64°
D. 70°
Answers
Answer:
B. 63°
Step-by-step explanation:
The distance around a circle is 360°
This means that 297° + n = 360°
Equation:
297 + n = 360
We can find the value of n by subtracting:
297 + n = 360
-297 -297
n = 63
Therefore, the value of n is 63 degrees.
I need help with this question!!
Answers
Answer:
B, C ,E
Step-by-step explanation:
B <2 = <6 they are alternate interior angles
C <1 + <6 = 180 <1 + 75 = 180 and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180
E x = 120
<1 + <6 = 180
<1 + 75 = 180
<1 = 105
<1 =x-15
105 = x-15
Add 15
120 =x
Elissa has taken up skateboarding and with the help of friends is building a ramp in her driveway. The angle of inclination is going to be 15degrees with the maximum height of four feet how long is the ramp going to be to the nearest tenth of a foot
Answers
Answer:
[tex]l \approx 15.455\,ft[/tex]
Step-by-step explanation:
The length of the ramp is computed with the help of the following trigonometric function:
[tex]\sin \theta = \frac{h}{l}[/tex]
[tex]l = \frac{h}{\sin \theta}[/tex]
[tex]l = \frac{4\,ft}{\sin 15^{\circ}}[/tex]
[tex]l \approx 15.455\,ft[/tex]
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answers
Answer:b
Step-by-step explanation:gbtggrtbttt
Answer: The answer is 580
Step-by-step explanation: you first do the front side which is 20 x 10 which is 200. You multiply 200 by 2 since the front and back are the same.
then you move on to the sides.
the bottom of the side is 3. The height is 20. 3 x 20 is 60. Since there are 2 sides, you will do 60 x 2 which is 120.
now we move on too the top. The width of width is 3. and the length is 10. 10 x 3 is 30. Since the bottom is also the same, you do 30 x 2. You add all the numbers.
So 400 (from the front and back) + 120 (from the sides) + 60 ( from the top and bottom)
thiss all equals 580. sorry if it is a bit confusing I just understood it too. I am 14 trying to get math a year above me.
What is the Cosine of 150 degrees?
Answers
Answer:
-0.86602540378
Step-by-step explanation:
I used the cosine calculator.
In radians it is:
[tex]\frac{5\pi }{6}[/tex]
according to the unit circle it is:
[tex]-\frac{\sqrt{3} }{2}[/tex]
The answer in decimal form is:
0.69925080647
Mr. Louis is taking a bus tour. The cost of the bus tour includes: $25.75 for the bus ride $9.25 for lunch admission to two museums, admission cost is the same to each museum The cost of the bus ride and lunch is 58 the total cost of the bus tour. What is the cost, in dollars, of the tour? What is the admission cost, in dollars, to each museum? Enter your answers in the boxes. The cost, in dollars, of the tour is . The admission cost, in dollars, to each museum is .
Answers
Answer: admission cost is 21 dollars
Step-by-step explanation:
Answer:
The cost of the tour is $56
The admission cost $21
One tenth ( 1/10) of the weight of a soft drink is sugar. Find the amount of sugar in these weights of drink.
a. 750g
b.45g
c.1kg
d.1259g
Answers
Answer:
Step-by-step explanation
(a) 1/10 × 750g=75g
(b)1/10 ×45g=4.5g
(c)1kg=1000g
=1/10×1000g=100g
(d)1/10×1259g=125.9g
Hope it helps you!!
Answer:
Step-by-step explanation:
a) Amount of Sugar = (1/10) of 750 g
[tex]\frac{1}{10}*750\\\\[/tex]
= 75 g
b)Amount of Sugar = (1/10) * 45
= 4.5 g
c) Amount of Sugar = (1/10) * 1000 g {1 kg = 1000g}
= 100 g
d) Amount of Sugar = (1/10) *1259
= 125.9 g
A rental company rents a luxury car at a daily rate of $38.93 plus $.50 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost
C of renting a car and driving x miles. How many miles can Paul travel on the $120?
Which equation represents the cost of renting a car and driving x miles?
A. 38.93=C+0.50x
OB. C= 38.93 +0.50x
O c. 38.93 = CX +0.50
OD: C = 38.93x +0.50
Answers
Answer:
Paul can drive 162.14 miles a day for the budget of 120 dollars.
OB. C=38.93+0.50x
Step-by-step explanation:
120=C
120=38.93+0.50x
81.07=0.50x
162.14=x
can some one help me plz with step by step
x^2 - 12x + 35
Answers
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex] {x}^{2} - 12x + 35 \\ {x}^{2} - 7x - 5x + 35 \\ = x(x - 7) - 5(x - 7) \\ = (x - 7)(x - 5)[/tex]
What is the volume of a cone with a diameter of 30 feet and a height of 60 feet use 3.14 for pie
Answers
Answer:
14,130 feet³
Step-by-step explanation:
2r=d
2r=30
r=15
Formula for the volume of a cone is: [tex]\frac{1}{3} *b*h[/tex]
[tex]\frac{1}{3} *[/tex]π[tex]*r[/tex]²[tex]*h[/tex]=
[tex]\frac{1}{3} *3.14*15^{2} *60=\\[/tex]
[tex]\frac{1}{3} *3.14*225*60=[/tex]
[tex]\frac{1}{3} *3.14*13,500=\\[/tex]
[tex]\frac{13,500}{3} *3.14=\\[/tex]
[tex]4500*3.14=[/tex]
14,130 feet³