22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.
Answer:
Step-by-step explanation:
A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.
What is the area and perimeter of the triangle
Answer:
Area = 20yd
Perimeter = 23 yd
Step-by-step explanation:
Area = 1/2 ×bh
b, which I the base = 10yd
h, which is the height = 4yd
Note: 5yd is the base because when you turn the triangle you will see that 10yd is the base and 5yd is the height not 8yd because 8 yd is not a straight line at a right angle
Therefore;
Area = 1/2× 10 × 4
= 1× 5 × 4
= 20yd
Perimeter = 8yd +5yd +10yd
= 13yd + 10yd
= 23yd
If v=-1, x=-2
and y= 3, find the value of:
3v + 2x
Answer:
-7
Step-by-step explanation:
3 v + 2 x
Where, v = -1 and x = -23 ( - 1) + 2 ( -2)
-3 - 4
-7
Find the Laplace Transform of the following function.
f(t) = 10 cos (12t+ 60°) u(t)
Answer:
L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]
Step-by-step explanation:
f ( t ) = 10 cos ( 12t + 60°) u(t)
attached below is a detailed solution of the given problem
L(f(t)) = [tex]\frac{5s - 60\sqrt{3} }{s^2 + 144}[/tex]
The set of lifespans of an appliance is normally distributed with a mean of 48 months and a standard deviation of eight months. What is the lifespan of an appliance that has a Z score of -3?
Answer:
24 months
Step-by-step explanation:
Given :
Mean = 48
Standard deviation = 8
Zscore = - 3
Using the relation :
Zscore = (x - mean) / standard deviation
Where, x = score
-3 = (x - 48) / 8
-3 * 8 = x - 48
-24 = x - 48
-24 + 48 = x
24 = x
Score = 24
A rectangular bin, completely filled, holds 1,200 cubic feet of grain. If the bin is 6 feet wide and 10 feet long, how deep is it ?
Answer:
20 feet
Step-by-step explanation:
Volume = length x width x height
1200 = 10 x 6 x h
1200 = 60h
h = 1200/60
height = 20
The rectangular bin is 20 feet deep.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
A rectangular bin is in the shape of a cuboid.
Volume of the rectangular bin,V = 1200 cubic feet
Length of the rectangular bin,l = 10 feet
Width of the rectangular bin,w = 6 feet
Let the height of the rectangular bin be h.
The formula of volume of cuboid is
[tex]V=lwh[/tex]
Now substitute the above values,
⇒ [tex]1200=(10)(6)h[/tex]
⇒ [tex]h=\frac{1200}{60}[/tex]
⇒ [tex]h=20[/tex]
Hence we can conclude that the rectangular bin is 20 feet deep.
Learn more about cuboid here
https://brainly.com/question/26403859
#SPJ2
will give BRAINLEST! See image attached below.
Answer:
See the image below for answer:)
Step-by-step explanation:
Answer:
B. (1 ± sqrt(33)) / 4
Step-by-step explanation:
the 2 solutions for a quadratic equation
ax² + bx + c = 0
are defined as
x = (-b ± sqrt(b² - 4ac)) / 2a
in our example here we have
a = -2
b = 1
c = 4
=>
x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4
as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).
and now it is clear, it has to be option B.
the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).
Geri runs a total of3.1 miles, how many feet is this
Destiny has borrowed $8 from 7 different friends. Write an integer that
represents Destiny's total debt to her friends.
Answer:
56
Step-by-step explanation:
7×8=56
Hope this helps! :)
Suppose you have a score that puts you 1.1 standard deviations below the mean. What is your percentile score?
Answer:
200000%
Step-by-step explanation:
.
3. Pedro used of a 33 ounce bottle of
soap to wash his mother's car. How
many ounces of soap did Pedro use?
A 22 ounces
C 28 ounces
B 20 ounces
D 30 ounces
Answer:
question unclear
Step-by-step explanation:
this is unclear I have no idea what this
Answer:
I would say D
Step-by-step explanation:
if there was a 33 oz. bottle and Pedro uses it all for the car, maybe the other 3 oz is from the actual container and not the liquid inside.
What value can you add in the blank in the expression x^2 + 6x + 7 +__ to complete the
square?
Answer:
2
Proof:
x^2 + 6x + 7 + 2 = x^2 + 6x + 9 = x^2 + 6x + 3^2 = (x + 3)^2
The value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
What is trinomial?"It is a polynomial which consists of three terms."
What is square trinomial?"A trinomial with degree 2"The general form of square trinomial is [tex]ax^{2} +bx+c[/tex] where a ≠ 0What is perfect square trinomial?"A square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac"
For given question,
We have been given a square trinomial.
[tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex]
We need to find the number in the blank space, so that the given trinomial would be complete square.
Let 'm' be the required number.
So, the trinomial would be [tex]x^2 + 6x + (7 +m)[/tex]
Comparing above square trinomial with [tex]ax^{2} +bx+c[/tex],
we have a = 1, b = 6, c = 7 + m
We know, a square trinomial is a perfect square, if and only if it satisfies the condition b² = 4ac
⇒ b² = 4ac
⇒ 6² = 4 × 1 × (7 + m)
⇒ 36 = 4 × (7 + m)
⇒ 9 = 7 + m
⇒ m = 2
This means, we need to add 2 in the blank space.
So, the square trinomial would be,
[tex]x^2 + 6x + 7 + \underline {2}\\\\= x^2 + 6x + 9\\\\= (x + 3)^2[/tex]
Therefore, the value can you add in the blank in the expression [tex]x^2 + 6x + 7 +\textunderscore\textunderscore[/tex] to complete the square is 2
Learn more about perfect square trinomial here:
https://brainly.com/question/16615974
#SPJ2
anyone know the answer to this question ?
Question:
c=3x+80
R=12x- 0.02x^2
R= revenue
C=cost
X=items sold
A) 9x-(0.2x^2+80)
B) x(9-0.2x)-80
C) x(9-0.02x)
D) 9x-0.02x^2+80
Answer:
c) x(9-0.2x)
is the correct answer
PLZ MARK BRAINLIEST
On a number line what nomber is 3 units to the left of 3
Answer:
Hello There!!
Step-by-step explanation:
The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]
hope this helps,have a great day!!
~Pinky~
Step-by-step explanation:
7On a number line what nomber is 3 units to the left of 3
What is the value of this number in decimal form?
Five and three hundred eight thousandths.
Three boards are placed end to end to make a walkway. The first board is 4 feet 5 inches long, the second board is 6 feet 9 inches long,and the third board is 3 feet 11 inches long. How long is the walkway?
Answer:
15 feet and 1 inch long
Step-by-step explanation:
add up the feet: 4+6+3= 13 feet
add up the inches: 5+9+11 = 25 inches
25/12= 2 feet 1 inch
13 feet + 2 feet + 1 inch= 15 feet 1 inch
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answer:
2
Step-by-step explanation:
The larger triangle is a scaled version of the smaller one since all the angles are the same. Just the sides are different.
All angles are same: vertical angles are the same, right angles in both triangles, the last angle in both triangles have to be the same if the other angles were the same.
The side proportions are the same.
x/2.5 = 6/7.5
solve for x:
7.5x = 15
x = 2
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]
¿ que pasa si no hubieran plantas ?
Answer:
entonces no habria oxigeno
Step-by-step explanation:
Which of the following correctly simplifies the expression 2 to the power of 3 multiplied by 3 to the power of 0 whole over 5, the whole squared.? (5 points)
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 1 squared over 5 squared. = 64 over 25.
2 to the power of 3 multiplied by 1 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 1 squared over 5 cubed. = 32 over 125.
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 6 multiplied by 0 over 5 squared. = 0
2 to the power of 3 multiplied by 0 whole over 5, the whole squared. = 2 to the power of 5 multiplied by 0 over 5 cubed. = 0
9514 1404 393
Answer:
(a) 64/25
Step-by-step explanation:
The relevant properties of exponents are ...
a^0 = 1 . . . . a ≠ 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
Your expression simplifies to ...
[tex]\left(\dfrac{2^3\cdot3^0}{5}\right)^2=\dfrac{2^{3\cdot2}\cdot1^2}{5^2}=\dfrac{2^6}{5^2}=\boxed{\dfrac{64}{25}}[/tex]
Which graph shows the point (-4, 0)?
Answer:
Graph C is the correct answer
Step-by-step explanation:
Hope this helps and,
let me know if it was correct.
This is a rhombus. Solve for x, Then label each angle with its correct measures:
Answer:
Step-by-step explanation:
In the given rhombus, the value of x is 18.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We know that;
Diagonal bisect the angles of a rhombus.
Hence, We can formulate;
⇒ (2x + 16)° = (3x - 2)°
Solve for x as;
⇒ 2x + 16 = 3x - 2
Subtract 2x both side,
⇒ 2x + 16 - 2x = 3x - 2 - 2x
⇒ 16 = x - 2
Add 2 both side,
⇒ 16 + 2 = x - 2 + 2
⇒ 18 = x
⇒ x = 18
Thus, The value of x in rhombus = 18
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
what is the equation of the line that has a gradient of 3 and passes through the point (-1,3)
Answer:
d
Step-by-step explanation:
20 points & Brainliest to the one who gets ALL of them correct! NEED HELP ASAP!!! Due today!!!
Verify these Identities & SHOW YOUR WORK:
1. cosx−cosxsin²x = cos³x
2. [tex]\frac{sinx}{1+cosx}[/tex] = [tex]\frac{1-cosx}{sinx}[/tex]
3. cos⁴b−sin⁴b = 1−2sin²b
4. [tex]\frac{siny+cosy}{siny}- \frac{cosy-siny}{cosy}[/tex] = [tex]\frac{secy}{cosy}[/tex]
5. (secx−tanx)² = [tex]\frac{1-sinx}{1+sinx}[/tex]
HELP!!!
Answer:
30
Step-by-step explanation:
Answer: go on mathaway!!!
Step-by-step explanation:
This dosent really help with ur question but mathaway is free and got me through math
A tosses one coin and B tosses two coins. The winner is the player who gets the most heads. In case of an equal number of heads A wins. (a) Compute the probability that B wins given that A gets 0 heads. (b) Compute the probability that B wins given that A gets 1 heads. (c) Compute the probability that B wins. (d) Change the game so that A tosses 2 coins and B tosses 3 coins. The winner is still the player who gets the most heads. In case of an equal number of heads A wins. Compute the probability that B wins in the new game.
Answer:
a) 3/4
b) 1/4
c) 1/2
d) 1/2
Step-by-step explanation:
A tosses one coin while B tosses two coins
a) P( B wins given A gets 0 heads )
In this scenerio for B to win, he needs to get at least 1 head i.e. P( B gets at least one heads)
= 1 - P(B get no head)
= 1 - (1/2)^2 = 3/4
b) P( B wins given A gets 1 head )
For B to win when A gets 1 head means that B will have to get 2 heads
i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4
c) P( B wins )
P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)
= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2
d) P ( B wins the new game )
Given that: A tosses two(2) coin while B tosses three(3) coins
P( B ) = P(A gets 0 head and B gets one head) + P(A get 1 head and B get 2 or 3 heads ) + P(A get 2 head and B gets 3 heads )
=[ (1/4 *(1 -1/8) ] + (1/2 * 1/2) + ( 1/4 * 1/8 )= 1/2
Given m|n, find the value of x.
Answer:
x=150
Step-by-step explanation:
x+30=180[co-interior angle]
x=180-30
x=150
PLEASE HELP ME!!!
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is not white? Be sure to reduce.
[? ]
Answer:
4/5
Step-by-step explanation:
There are a total of 10 marbles. Out of those 10 marbles, 8 of them are NOT white. Therefore, the probability of getting a marble that is not white is 8/10 = 4/5.
The probability that a randomly drawn marble is not white is 4/5.
To find the probability that a randomly drawn marble is not white, we need to determine the number of non-white marbles and divide it by the total number of marbles.
In the given bag, there are 10 marbles in total, and 2 of them are white. Therefore, there are 10 - 2 = 8 non-white marbles.
The probability of drawing a non-white marble can be calculated as:
Probability = Number of non-white marbles / Total number of marbles
= 8 / 10
= 4 / 5
Therefore, the probability that a randomly drawn marble is not white is 4/5.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ4
A local school newspaper's editor wants to survey students to determine the approval rating of the current student council president. How would the newspaper apply the cluster sampling method to find this information?
A. The newspaper staff surveys only the female students in the entire school.
B. The newspaper staff surveys random students from every grade in the school.
C. The newspaper staff surveys every student in a randomly selected grade.
D. The newspaper staff surveys 30 students from each grade in the school.
Answer:
B
Step-by-step explanation:
The correct option is B.
The newspaper staff surveys random students from every grade in the school.
Cluster samplingIn cluster sampling, researchers divide a population into smaller groups known as clusters. They then randomly select among these clusters to form a sample. Cluster sampling is a method of probability sampling that is often used to study large populations, particularly those that are widely geographically dispersed.
What is an example of cluster sampling?An example of single-stage cluster sampling – An NGO wants to create a sample of girls across five neighboring towns to provide education. Using single-stage sampling, the NGO randomly selects towns (clusters) to form a sample and extend help to the girls deprived of education in those towns.
Learn more about cluster sampling here https://brainly.com/question/9910540
#SPJ2
Rebecca walks nine dogs each week she gets paid $10 a week +2 for each dog she walks which expression can be used to find how much is Rebecca gets paid in one week
Answer:
F(x)= 2x + 10
Step-by-step explanation:
F(×) represent the total amount she will get that week.
The 2 represents her dog bonus, x how many dogs she walked.
10 is the bare minimum she makes each week and it never changes.