Answers
Answer:
The value of h is [tex]\frac{5}{2}[/tex] units
Step-by-step explanation:
In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2The area of parallelogram = b1 × h1 OR b2 × h2In the given figure
∵ Every two opposite sides of the parallelogram are equal
∴ The length of the base of the height h is 3 units
∵ The area of the parallelogram = [tex]\frac{15}{2}[/tex] units
∵ Area of parallelogram = b × h
→ Substitute the values of the area and the base in the rule above
∴ [tex]\frac{15}{2}[/tex] = 3 × h
∴ [tex]\frac{15}{2}[/tex] = 3h
→ Divide both sides by 3 to find h
∵ [tex]\frac{15}{2}[/tex] ÷ 3 = 3h ÷ 3
∴ [tex]\frac{15}{6}[/tex] = h
→ Simplify the fraction by divide up and down by 3 and switch the 2 sides
∴ h = [tex]\frac{5}{2}[/tex] units
Related Questions
The temperature at Bar Harbor, Maine, was -3 0F. It then dropped during the night to be 4 times as cold.
1. 12
2. 7
3. -12
4. -7
please please please need help :(
Answers
Answer:
-12
Step-by-step explanation:
-3 x 4 = -12
because if you multiply a negative with a positive number, you get a negative number.
What percent of the cats weight is between 0 and 5.9?
Answers
Answer:
there are 20 cats (male and female) in the catergory of 0.59 and there are 100 cats in total.
so you do 20/100 which is already out of 100 so it is 20%
Answer:
%20
Step-by-step explanation:
start by adding all the cats that are in the row labeled 0-5.9 to find the total number of cats that weigh between 0-5.9 lbs.
8 + 1 + 7 + 4 = 20
now add all the cats in the row labeled Total to find the total number of cats.
10 + 36 + 7 + 47 = 100
Since the total number of cats is 100 we should be able to find the percent very easily.
20/100 as a percent is %20
therefore the percent of cats that weigh between 0 and 5.9 lbs is %20
PLS HELP!! WILL GIVE YOU BRAINLEST
A system of linear equations is given by the tables.
X
у
х
у
1
-2
-7
0
3
0
-1
1
5
2
5
2
7
4
11
The first equation of this system is y= x+3.
The second equation of this system is y= 3x-.
The solution of the system is (v.).
Answers
Answer:
The first equation of this system is y =2 x + 3.
The second equation of this system is y = 3x −1 .
The solution of the system is (4,11).
Step-by-step explanation:
PLATO correct
The first equation of this system is y = 2x + 3 while the second equation of this system is y = 3x - 1.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
For the first line, using the points (0, 3) and (2, 7):
[tex]y-3=\frac{7-3}{2-0}(x-0)\\ \\y=2x+3[/tex]
For the second line, using the points (0, -1) and (2, 5):
[tex]y-(-1)=\frac{11-(-1)}{4-0}(x-0)\\ \\y=3x-1[/tex]
The first equation of this system is y = 2x + 3 while the second equation of this system is y = 3x - 1.
Find out more on Linear equation at: https://brainly.com/question/18176080
Graph the line with the equation y = 2 x − 2
Answers
Answer:
The picture attached shows the graph. The y-intercept is -2 and it increases by 2. Hope this helps.
Step-by-step explanation:
PLEASE ANSWER FIFTY POINTS AND BRAINLIEST!
Sketch the graph y=− |x−1|+3 and answer the questions:
b)
What are the coordinates of its vertex?
c)
What are the coordinates of x- intercepts? (theres two)
Answers
Answer: The picture I showed is the sketch of the graph y=-|x-1|+3
b) The coordinates for the vertex is (1,3)
c) One of the coordinates for the x intercepts is (-2,0)
The other is (4,0)
Step-by-step explanation:
b)The vertex is the point I showed in the picture. It's where the graph moves in the opposite direction
c) The coordinates for the intercepts can be determined where the graph hits the x axis. At -2, the graph hits the x axis and at 4 the graph hits the x axis.
X intercepts always have a 0 for its y value of the coordinate. Therefore the coordinates are (-2,0) and (4,0)
Decide whether the statement is true or false. If angle1= angle2 and angle2= angle3 , then angle1= angle3 .
Answers
Answer:
Step-by-step explanation:
Hope this helps
Answer: true
Step-by-step explanation: let’s take angle 1 as 5
angle 1 = angle 2
5=5
we know angle 2 = 5
angle 2 = angle 3
5=5
now we know able 3= 5
angle 1 = angle 3
5=5
Please help quick!!!
Answers
Answer:
Investigation 1
Step-by-step explanation:
Temperature change reveals a chemical reaction.
Given that for an arithmetic sequence, the first term is q and the second term is qz.
(a) Find the common difference d the general term Tn and the sum of the first n terms. Answer must
be in terms of q and z.
(b) Hence, find the sum of the first 10 terms in terms of q and z.
Answers
Answer:
[tex]d = q(z-1)[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Step-by-step explanation:
Given
[tex]T_1 = q[/tex]
[tex]T_2 = qz[/tex]
Solving (a1): The common difference (d)
d is calculated as
[tex]d = T_2 - T_1[/tex]
This gives:
[tex]d = qz - q[/tex]
Factorize:
[tex]d = q(z-1)[/tex]
Solving (a2): Sum of n terms
This is calculated using:
[tex]S_n = \frac{n}{2}(2*T_1 + (n-1)d)[/tex]
Substitute values for T1 and d
[tex]S_n = \frac{n}{2}(2*q + (n-1)q(z-1))[/tex]
[tex]S_n = \frac{n}{2}(2q + q(n-1)(z-1))[/tex]
Factorize:
[tex]S_n = \frac{n}{2}(q(2 + (n-1)(z-1)))[/tex]
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
Solving (b): Sum of first 10.
In this case, n = 10
So:
[tex]S_n = \frac{nq}{2}(2 + (n-1)(z-1))[/tex]
becomes
[tex]S_{10} = \frac{10 * q}{2}(2 + (10-1)(z-1))[/tex]
[tex]S_{10} = 5 * q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9(z-1))[/tex]
[tex]S_{10} = 5q(2 + 9z-9)[/tex]
[tex]S_{10} = 5q(2 -9+ 9z)[/tex]
[tex]S_{10} = 5q(-7+ 9z)[/tex]
[tex]S_{10} = 5q(9z -7)[/tex]
Given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Recall:
The common difference (d) of an arithmetic sequence = difference between the next term and the previous termSum of n terms, [tex]S_n[/tex] of arithmetic sequence = [tex]\frac{n}{2}[2a + (n - 1)d][/tex]Given:
First term, [tex]T_1 = q[/tex] (this is also "a")Second term, [tex]\\\\T_2 = qz[/tex]a. Common difference (d) = [tex]T_2 - T_1[/tex]
Substitute[tex]d = qz - q\\\\\mathbf{d = q(z - 1)}[/tex]
Sum of n terms:
[tex]T_n = \frac{n}{2}[2a + (n - 1)d][/tex]
Substitute by plugging in the value of d and a[tex]S_n = \frac{n}{2}[2(q) + (n - 1)q(z - 1)]\\\\S_n = \frac{n}{2}[2q + q(n - 1)(z - 1)]\\\\S_n = \frac{qn}{2}[2 + 1(n - 1)(z - 1)]\\\\\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. Sum of the first 10 terms:
Substitute n = 10 into [tex]S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)][/tex][tex]S_{10} = \frac{q(10)}{2}[2 + (10 - 1)(z - 1)][/tex]
Simplify[tex]S_{10} = 5q[2 + (9)(z - 1)]\\\\S_{10} = 5q(2 + 9z - 9)\\\\[/tex]
Add like terms[tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
In summary, given that the first term and the second term of an arithmetic sequence is q and qz respectively, therefore:
a. Common difference (d) = [tex]\mathbf{d = q(z - 1)}[/tex]
Sum of the first n terms is: [tex]\mathbf{S_n = \frac{qn}{2}[2 + (n - 1)(z - 1)]}[/tex]
b. [tex]\mathbf{S_{10} = 5q(9z - 7)}[/tex]
Learn more here:
https://brainly.com/question/14311840
85% of a number is added to 24, the result is the same number find the number.
Answers
Answer:
160
Step-by-step explanation:
A rectangular shop in the mall is 10 meters long and 8 meters wide. What is it’s area?
Answers
Answer:
80 meters
Step-by-step explanation:
to find the area multiply length by width
In this case it would be : 10 * 8 which equals 80. The area of the rectangular shop in the mall equals 80 meters^2
Hope I helped :)
find value of x question number F give step by step solution plz take photo or write step by step answer
Answers
Answer:
x= 17 cm
Step-by-step explanation:
Apply the Pythagorean relationship in this question which is stated mathematically as;
a² + b²= c²
where
a= is the base length, b is the height and c is the hypotenuse
First find length BC , where b= 8 cm and c=10cm and a=?
Hence;
a² + b²=c²
a² + 8²=10²
a²= 10²-8²
a²=100-64 =36
a=√36 = 6 cm
Now find AD=x where AB=8cm , BD = 6+9= 15cm
In this case, a=15 cm , b=8cm , c=?
a² + b²=c²
15² + 8² = c²
225 + 64 = c²
289= c²
√289 = c
17 cm = c = x
Each month a tax is deducted from lucy's earnings. Which best describes the tax that is deducted from her pay check
F sales tax
G payroll tax
H property tax
J not here
Answers
Answer:
h property tax
Step-by-step explanation:
How can you rewrite the problem so that the divisor is a whole number?
0.21 divided by 17.66
Answers
Answer: 21 divided by 1766
Step-by-step explanation:
just try to remove the decimal points which mean 0.21 to 21 and 17.66 to 1766
d+g/h for d=35, g=19 and h=6
A. 9
B. 2.7
C. 7.3
D. 8
Answers
Answer:
PLZ MARK ME AS BRAINLIST
Step-by-step explanation:
THE CORRECT ANSWER IS 9...
HOPE IT HELPS...
DNDNDNDN
SNSNDNDN
SBSNDNXN D DXBNXF D XNXJXNXN
SNDNXNDBDNZJXNXDNSKSKDN
DNDNDN
NDNDSNSNSNSND
SNDNDNDN
What’s the maximum value of the function p=2x+3y
Answers
Answer:
x= -3/2y + 1/2 p
Step-by-step explanation:
p=2x + 3y
2x + 3y =P subtract 2x from both sides
3y=P -2x divide both sides by 3 and simplify
y = P/3 - 2x/3
Find the slope of the line that passes through (3, 3) and (5, 8).
Answers
Answer: 5/2
Step-by-step explanation:
Use the slope formula y2-y1/x2-x2
8-3/5-3 = 5/2
Anyone know what to do?
Answers
Answer:
no
Step-by-step explanation:
Ty takes 1 hour to read 35 pages, 2 hours to read 70 pages, and 3 hours to read 105 pages.
Answers
Answer: There are 210 pages that ty read in 6 hours.
Step-by-step explanation:
If v varies inversely with w and v = 18 when w =3
find the equation that relates v and w.
Answers
6(3) = 18
I think, hope I helped :)
Answer:
V= 6/w
Step-by-step explanation:
256 miles per 8 gallons what is the unit rate
Answers
Answer:
your answer is 32 miles per gallon
Step-by-step explanation:
you divide 256/8 and get 32
After 5 minutes, Pablo jumped 14.6 feet. After 10 minutes, he
jumped 14.1 feet. What are the two ordered pairs?
Answers
Answer:
Step-by-step explanation:
(5, 14.6)
(10, 14.1)
Which statement is true about the equation shown below?
10 – 2 (4x – 3) = 2x + 7 – 10x
A.The only solution to the equation is x=9/16
B.The only solution to the
equation is x=9/20
C.The equation has infinite
solutions.
D.The equation has no solution.
Answers
Answer: C.The equation has infinite
solutions.
brainliest plzzzzzzzzzzzzzzzzzz To the nearest litre, how much gasoline can
you buy with $20.00 if the price for gas is
87.5¢/L?
how is this done?
cany someone please help
Answers
Answer:
22.86 liters
Step-by-step explanation: thats the rounded up answer the full answer is 22.857142857142858
Solve for the roots: x3-2x2+3x-6
Answers
Answer:
x = 2, i[tex]\sqrt[]{3}[/tex], -i [tex]\sqrt{3}[/tex]
x^3 - 2x^2+ 3x - 6 = 0
Hint: Solve by grouping.
Which property justifies drew first step ?
A.commutative property of multiplication
B.associative property of addition
C. subtraction property of equality
D. distributive property of multiplication over addition
Answers
Function and Linear question look at the image
I will give brainliest if correct
Answers
is: nonlinear
{−2x+7y=−7
−5x+14y=−7
Answers
Answer: x=7, y=2
Step-by-step explanation:
1. -2(-2x+7y=-7) -> 4x-14y=14
2. 4x-14y=14
-5x+14y=-7
3. -x = 7, x=7
4. -5(7)+14y=-7
5. -35+14y=-7
6. 14y=28, y=2
Answer: [tex]x=-7[/tex], [tex]y=-3[/tex]
Step-by-step explanation:
[tex]\left \{ {-2x+7y=-7} \atop {-5x+14y=-7} \right.[/tex]
multiply 2 at [tex]-2x+7y=-7[/tex]
[tex]-4x+14y=-14[/tex]
subtract [tex]-4x+14y=-14[/tex] and [tex]-5x+14y=-7[/tex]
[tex]x=-7[/tex]
put [tex]x=-7[/tex] at [tex]-2x+7y=-7[/tex]
[tex]7y=-21, y=-3[/tex]
What is the scale factor and center of dilation?
Answers
Help please! I’ll give brainliest!
Answers
Sara invested $1,500 in a bond at a simple at a simple interest rate of 3%
Answers
Answer: N/A
Step-by-step explanation:
We need more info
