Answer:
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Step-by-step explanation:
we are given a trapezoid
we want to figure out the area
remember that,
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]
where a and b represent the parallel lines and h represents the height
we get from the pic that a and b are 5 and 15 respectively and h is 7
so substitute:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]
simplify addition:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]
simplify division:
[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]
since we multiply two same units we of course have to use square unit
hence,
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
to find the sum of all the odd integers from to 49 inclurive
Answer:
625 is the sum of first 49 odd numbers.
Step-by-step explanation:
Add the all odd numbers between 1 - 49.
1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625
Hope it is helpful....Ismail school is at the corner of high Street and second Avenue. The corner forms a right angle. How might he describe the way the street meet at his school?
Answer:
Step-by-step explanation:
street never meet
Function or a Relation?
X Y
-13 -3
-3 7
12 -13
17 8
-3 14
0 -19
Answer:
Hi! The answer to your question is Relation
Step-by-step explanation:
To be a function the x values can't repeat, since they do, its a relation
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10
Answer:
69
Step-by-step explanation:
trust me
Pls answer fast pls pls pls pls
Answer:
13.93
Step-by-step explanation:
use the Pythagorean theorem
Five different DVDs cost:
$11.50, $11.00, $17.00, $21.25, $16.00
median =
$16.00
$10.25
$15.35
Answer:
16
Step-by-step explanation:
mode = the most
mean = ave
median = the no. in between
so arrange those five costs the one in the middle is 16
last step
merical simplification until the
1
Exercise 19c
Use the value 27 for n in this exercise.
Calculate the volume of a cylindrical steel
bar which is 8 cm long and 3.5 cm in
diameter.
2 The tank on a petrol lorry is a cylinder 2 m
in diameter and 7 m long.
a
Calculate its volume in m?.
b Find its capacity in kilolitres.
Answer:
77 cm^3
22 m^3
22 kl^3
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
1. Radius = 3.5 / 2 = 1.75
Volume = (22/7) x (8) x 1.75^2 = 77 cm^3
2. radius = 2/2 = 1m
Volume = (22/7) x (7) x 1^2 = 22 cm^3
1 meter = 1 kilolitre
capacity = volume
capacity = 22 kl^3
The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets
Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x
Answer:
D. y=3x
Explanation:
Pls help this is timing me!!!!!
Answer:
D
Step-by-step explanation:
You earn $180 in interest over 8 months at 3%. How much did you invest?
Answer:
19.44 (I think)
Step-by-step explanation:
Simplify the expression:
6x ^ 2 + 7x - 3x ^ 2 - 2x
Answer:
3x²+5x
Step-by-step explanation:
Which is the most appropriate unit to measure the weight of salad ? A. Tons B. Ounces C. Teaspoons D. Pounds
Answer:
Ounces :)
Step-by-step explanation:
Find the value of x (this is the angles of a triangle)
(X-13)+x+(×/5+6)=180
Answer:
72 85 23
Step-by-step explanation:
Equation
(x - 13) + (x/5 + 6) + x = 180 Multiply the equation by 5
Solution
5(x - 13) + 5(x/5 + 6) + 5x = 180*5 Remove the brackets
5x - 65 + x + 30 + 5x = 900 Combine like terms on the left
11x - 35 = 900 Add 35 to both sides
35 35
11x = 935
x = 85
Answer
x - 13 = 85 - 13 = 72
x = 85
x/5 + 6 = 17 + 6 = 23
Total = 180
It might be easier not to multiply through by 5 at the beginning
(x - 13) + (x/5 + 6) + x = 180 Remove the brackets
x - 13 + x/5 + 6 + x = 180 Combine like terms
2x + x/5 -- 7 = 180
x/5 = .2x Put 0.2x in for x/5
2.2x - 7= 180 Add 7 to both sides
7 7
2.2x = 187 Divide by 2.2
x = 187/2.2
x = 85
Take your pick. Both methods will give the same answer.
In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there
Answer:
There are 7 total family members.
Step-by-step explanation:
The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.
Daniel is constructing boxes in the shape of triangular prism. How much cardboard is needed to make each box
Answer:
Area of cardboard required = 468 cm²
Step-by-step explanation:
Area of the cardboard required = Surface area of the triangular prism
Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides
Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(9)[/tex]
= 54 cm²
Area of lateral sides = Perimeter of the triangular base × Height
Perimeter of the triangular base = 9 + 12 + 15
= 36 cm
Now area of the lateral sides = (36) × 10
= 360 cm²
Surface area of the prism = 360 + 2(54)
= 360 + 108
= 468 cm²
Therefore, area of cardboard required for each box = 468 cm²
PLEASEEEE HELP ILL GIVE BRAINLIEST
Answer:
x = 3
Step-by-step explanation:
Taking this from the graph:
2x + 5 = 11
2x = 6
x = 3
Answer: A) 3
Step-by-step explanation:
2x+5=11
2x=6
x=3
Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4
OOOO
A. I
B. II
C. III
D. IV
Next
Save and Exit
Answer:
A. I
Step-by-step explanation:
The other person is wrong and I took the test
What is the probability that a point chosen at random is in the blue region?
Answer:
Well It would about 1/10000000 if your talking about all colors, but its not specified how many blue regions other colored regions there are so I cant tell you without knowing.
Step-by-step explanation:
Just Take the amount of regions then put it under the amount of Blue regions there are then look up on a browser, Ex: What is 2/3 into a percent: 66.6 percent, And you have your answer :)
Answer:
15/17
Step-by-step explanation:
what is the distance of the points (-7,-4) and (-2,-4)
Answer:
Step-by-step explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
4
−
−
4
)
2
+
(
17
−
2
)
2
d
=
√
(
4
+
4
)
2
+
(
17
−
2
)
2
d
=
√
8
2
+
15
2
d
=
√
64
+
225
d
=
√
289
d
=
17
whats the answer for this
Answer:
1 should be 90 degrees because if u look at the angle its a right angle
2 its an obtuse angle so those angles are more than 90 degrees but less than 180 so its 150 degrees
maths question solve it quick pls
Answer:
(a)2 1/4
(b)1 1/2
(c)1 1/18
(d)5 7/12
Step-by-step explanation:
(a) 11/3 - 17/12 = 44/12 - 17/12 = 27/12 = 9/4 = 2 1/4
(b) 33/10 - 18/10 = 15/10 = 3/2 = 1 1/2
(c) 41/9 - 7/2 = 82/18 - 63/18 = 19/18 = 1 1/18
(d) 47/6 - 9/4 = 94/12 - 27/12 = 67/12 = 5 7/12
Hope it helped :)
A marine biologist wants to test the effect of water temperature on the length of time sea otters can remain under water during a dive. He gathers data on randomly selected dives by 7 different otters, recording dive duration (in seconds) and water temperature (in degrees Celsius). A computer regression analysis of his data is given below. Assume all conditions for inference for slope have been met.
Predictor Coef SE coef T P
Constant 52.789 5.257 10.04 0.000
Water temp 3.3684 0.4216 7.990 0.002
S= 5.557 R- Sq= 92.7% R-Sq(adj)= 91.3%
Required:
What is the estimate of the standard deviation of the sampling distribution of b, the slope of the sample regression line for this relationship?
Answer:
0.4216
Step-by-step explanation:
from the data given The estimate of the standard deviation of the sampling distribution of b,
( The slope of the sample regression line for the relationship )
= 0.4216 ( i.e. intersection of SE coef and water temperature )
Testing the effect of water temperature on the length of time sea otters can remain
Write 34/5 as a mixed number. 4 5/6 3 4/5 6 4/5 6 5/4
Answer:
6 4/5
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answer: 34.52 Is the correct answer.
Fill in the blank
7.5 cm =_ m
A. 0.0075
B. 0.075
C. 0.75
D. 750
please answer this question, this is based in circumference, radius and diameter
Answer:
If the radius of the circle is 7cm . Its area is 154cm square.
Use the net to find the surface area of the prism.
96 in2
12 in2
24 in2
84 in2
Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
a cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches find the surface area of the pitcher
A.5495 in² B. 54.95 in²
C.549.5 in² D. 5.495 in²
A cylinder shaped water pitcher has a radius of 5 inches and a height of 12.5 inches. Find the surface area of the pitcher.
Answer:-Given:-[tex] \bullet [/tex] Radius (r) of a cylinder shaped water pitcher = 5 inches.
[tex] \bullet [/tex] Height (h) of a cylinder shaped water pitcher = 12.5 inches.
To Find:-The surface area of the pitcher.
Solution:-We know,
Formula of Surface area of a cylinder is 2πr(r + h) sq. units.
So,
Surface area of the pitcher = 2 × 3.14 × 5(5 + 12.5)
Surface area of the pitcher = 31.4 × 17.5
Surface area of the pitcher = 549.5 in²
[tex] \therefore [/tex] The surface area of the pitcher is 549.5 in².
Hence, the option (C) 549.5 in² is correct. [Answer]
The surface area of the cylinder is 549.50 in².
What is the surface area of the cylinder?A cylinder is a three-dimensional object. It is made up of a prism with a circular base. The total surface area is the sum of the areas of the faces or surfaces of a 3-dimensional object
Total surface area = 2πr(r + h)
Where:
π = 3.14r = 5 h = height2 x 3.14 x 5 (5 + 12.5) = 549.50 in²
Write the equation of the circle with the given information.
Center: (2,8)
Radius: 3
Answer:
(x - 2)² + (y - 8)² = 9
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (2, 8 ) and r = 3 , then
(x - 2)² + (y - 8)² = 3² , that is
(x - 2)² + (y - 8)² = 9
Help pleaseeeeeeeeeeee
Answer:
3
Step-by-step explanation:
3 visually has the greatest slope Distance / time = greatest speed...
Here are the speeds (as I read the graph, always double check my work)
1) is 10m / 4s 2.5 m/s
2) is 15m / 4s 3.75 m/s
3) is 30m / 2s 15 m/s
4) is 5m / 4s 1.25 m/s