Answer :
8 units⠀
Step-by-step explanation :
⠀
Here,
Area of the parallelogram is 104 sq. unitsBase length of the parallelogram is 13 units.⠀
We know that,
[tex]{\longrightarrow \qquad{ \mathfrak{ \pmb{Base \times Height = Area_{(Parallelogram)}}}}}[/tex]
⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad{ \sf{ {13 \times Height = 104}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \sf{ {Height = \dfrac{104}{13} }}}}
[/tex]
⠀
[tex]{\longrightarrow \qquad{ \pmb { \frak{Height \: \: {= 8}}}}}[/tex]
⠀
Therefore,
The Height of the parallelogram is 8 units.Question :-
The Area of Parallelogram is 104 units² . Its Base is 13 units . What is the Height of the Parallelogram ?Answer :-
Height of Parallelogram is 8 units .Explanation :-
As per the provided information in the given question, we have been given that the Area of Parallelogram is 104 units² . Its Base is given as 13 units . And, we have been asked to calculate the Height of the Parallelogram .
For calculating the Height , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: Area \: _{Parallelogram} \: = \: Base \: \times \: Height \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf { Area \: _{Parallelogram} \: = \: Base \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf { 104 \: = \: 13 \: \times \: Height } [/tex]
[tex] \longmapsto \: \: \: \sf { \dfrac {104}{13} \: = \: Height} [/tex]
[tex] \longmapsto \: \: \: \sf { 8 \: = \: Height} [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Height \: = \: 8 }} [/tex]
Hence :-
Height of Parallelogram = 8 units .[tex] \underline {\rule {204pt} {4pt}} [/tex]
Additional Information :-
[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]
b) In a survey among 65 people about their favourite fruits, it was found that the number of people who like mango is twice the number of people who like orange. If 10 people like both fruits and 15 do not like any of them, using Venn diagram find the number of people who like (i) Mango only, (i) Orange . ככה swer 10
Answer:
i}. Mango only (no(M))=30
ii}.Orange (n(O))= 20
What is the recursive rule?
Question 4 options:
an = 2an−1; a1 = 30,000
an = 2an+1; a1 = 30,000
an = 2n; a1 = 30,000
an = 2an; a1 = 29,500
The recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000
How to write the recursive functionGiven the following parameters
a is the initial values = 30,000
If the amount doubles each year then b = 2
Let n be the number of years such that if the numbe r keeps doubling then:
an = 2n
First term a = 30000 (iniital value)
Hence the recursive rule for the sequence in simplified form is an = 2n; a1 = 30,000
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The second angle of a triangle is 52 more than the first angle. The third angle is two times the first. Find the three angles.
Answer:
The third angle is 104
Step-by-step explanation:
their for first angle is x and second angle of a triangle is 52 more than the first angle x×52 and again The third angle is two times the first and x=52×2×= 104
El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
Calculate the side lengths using the given scale.
Answer:
x= 5× 17
= 85milimetres
y= 65÷ 5
=13milimetres
What is the surface area?
15 cm
12 cm
15 cm
18 cm
21 cm
Triangular Prism
Answer:
949
Step-by-step explanation:
just take ahalf times base times height then multiply by 4 to get the two sides then multiply the base rectangle then multiply the side rectangle and multiply ut by two and add to get the answer
Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?
Answer:= The exponent is 12
Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)
When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents
(a* 10^b) (c* 10^d) = ac * 10^(b+d)
(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)
=68.25 * 10^11
But this is not proper scientific notation. We can only have 1 number in front of the decimal. We need to move the decimal 1 place to the right. That adds 1 to the exponent.
=68.25 * 10^11 = 6.825 * 10^(11+1)
= 6.825 * 10^12
The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:
[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)
Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12
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15 times a number plus 42 is greater than 7
please help!
Answer: equation would be 15x+42>7
Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3
I need help trying to solve for MNO it’s for our right triangle trigonometry unit.
Answer:
Angle O is 64. m is 16.7 rounded to the nearest tenths place. n is 22.4 to the nearest tenths place.
Step-by-step explanation:
Angle O- 180-(26+90)
M- COS(26)=n/15
N- COS(26)=n/15^2+15^2=c^2
D
(3x + 4y)(9x" - 12xy + 16y')
Which polynomial equation is a valid identity?
-)))
A)
(6xy)2 – (2xy)2 = 4x?y?(3x + 1)
B)
(6xy2,2 – (2xy)2 = 4x?y(3x + 1)(3y - 1)
=
(6xy3)2 – (2xy)2 = 4x?y?(3y + 1)(3y - 1)
Answer:c
Step-by-step explanation:
Solve for the exponential for x
Answer:
x = 1
Step-by-step explanation:
[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]
Answer:
x = 1
Step-by-step explanation:
Using Definition of Logarithm
7 ^(4x−6) = 1/49
Use the rules of exponents and logarithms to solve the equation.
7 ^(4x−6) = 1/49
Take the logarithm of both sides of the equation.
log(7^4x-6) = log(1/49)
The logarithm of a number raised to a power is the power times the logarithm of the number.
(4x-6)log(7) = log(1/49)
Divide both sides by log(7).
4x-6 = log(1/49)/log(7)
By the change-of-base formula log(a)/log(b) = log(small b under) (a).
4x-6 = log(small 7 under) (1/49)
Add 6 to both sides of the equation.
4x=−2−(−6)
Divide both sides by 4.
x = 4/4 which is the same as x = 1
The problem is the screenshot
Answer:
(x = 0,y = 0),(x = 1, y = 5),(x= 2, y =10)
Step-by-step explanation:
the rule is to multiply x by 5.
when x = 0, y =5(0) = 0
when x = 1, y =5(1) = 5
when x = 2, y =5(2) = 10
Hope this helps!
Please mark as brainliest!
0
5
10
Step-by-step explanation:A table can be completed by plugging x-values into an equation or by graphing.
Plug in x-values
First, plug 0 into the equation to find the first y-value.
y=5(0)y=0Next, plug in 1 for x
y=5(1)y=5Finally, plug in 2
y=5(2)y=10Additionally, each of these y-values increases by 5. So, once we found the first y-value, 0, we can just add 5 to find the next y-values.
Graphing
Also, you can use a graph to find the missing values. The y-intercept is 0 and the slope is 5. Using this information you can graph the equation. Then, find the x-values on the graph and match these values to y-values.
1. Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? 2. Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre’s height. Let a be Andre’s height in centimeters. 3. Select all heights that could be Andre’s height in centimeters. If you get stuck, consider drawing a number line to help you a) 150 b) 154.5 c) 160 d) 162.5 e) 164
Answer
Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.
Step-by-step explanation:
no step by step explanation
does that help??
The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
1) We have inequalities h > 150 and h < 160 for Lin height.
The height of the Lin varies between 150 cm to 160 cm because:
h ∈ (150, 160)
2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:
h < h' < 164
3) As the inequality for the Lin height: h > 150 and h < 160 or
h ∈ (150, 160)
And h < 164
So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.
Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.
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which of the best following point best represent 106
Answer:
b
Step-by-step explanation:
i hope this helped
A circle is drawn inside a square.
20 cm
The square has a height of 20 cm.
Work out the shaded area.
Give your answer in terms of T.
Express the ratio below in its simplest form
2.5 : 3.5
Answer:
5 : 7
Step-by-step explanation:
Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7
Answer:
5:7
Step-by-step explanation:
The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7
A parallelogram has an area of 10square feet.
a.Complete the table that shows the relationship between the dilated area ( ) and
the scale factor ( y).
All answers are listed below:
For A = 0 ft², the scale factor is 0.For A = 40 ft², the scale factor is 2.For A = 160 ft², the scale factor is 4.For A = 360 ft², the scale factor is 6.For A = 640 ft², the scale factor is 8.How to determine the dilated area of a parallelogram
The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:
A = k² · b · h (1)
Where k is the scale factor.
And we can derive a scale factor by comparing two areas:
[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex] (2)
Where [tex]A_{o}[/tex] is the original area, in square feet.
If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:
For A = 0 ft², the scale factor is 0.
For A = 40 ft², the scale factor is 2.
For A = 160 ft², the scale factor is 4.
For A = 360 ft², the scale factor is 6.
For A = 640 ft², the scale factor is 8.
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dilated area in square feet (x) scale factor (y)
0 0
40 2
160 4
340 6
640 8
Find the volume of the rectangular prism below.
Answer:
The answer is 4,224
Step-by-step explanation:
hope this helpss
Find the volume of given prism.
Answer:
345 [tex]cm^{3}[/tex]
Step-by-step explanation:
The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]
I can't figure out the range please help
Answer:
5
Step-by-step explanation:
range is biggest number minus smallest number.
First arrange the numbers from least to greatest.
4, 4, 5, 6, 8, 9, 9
Subtract the biggest number, 9, from the smallest number, 4.
9 - 4 = 5
Answer:
5
Step-by-step explanation:
The range is the highest value number minus the lowest value number. 9 minus 4 is 5.
Tammy cuts four identical circles from a square piece of black poster board as shown. What is the area of the leftover poster board?
a) 6.240 square feet
b) 5.375 square feet
c) 18.760 square feet
d) 19.625 square feet
Answer:
B) 5.375
Step-by-step explanation:
The circles are half the square so their diameter will be half the length of the square
d=5/2=2.5
the formula is
area of shaded portion-area out unshaded portion
area of a square= l×l
5×5=25
area of a circle=πr^2
but since there are 4 circles it becomes 4πr^2
r=d/2=2.5/2=1.25
area of unshaded portion= 4×3.14×1.25×1.25
=19.625
area of leftover=25-19.625
= 5.375
The ratio of red to yellow counters is 2:3 There are 20 counters in total. How many counters of each colour are there? You can colour the counters to help you. please help me
Answer:
2:3 = 5
Red counters
2÷5×20
= 8
- therefore there are 8 Red counters
Yellow counters
3÷5×20
= 12
-therefore there are 12 yellow counters
help me pleaseeeeeeeeee
Answer:
2x - y = - 13
Step-by-step explanation:
y - 5 = 2(x + 4) ← distribute parenthesis by 2
y - 5 = 2x + 8 ( add 5 to both sides )
y = 2x + 13 ( subtract 2x from both sides )
- 2x + y = 13 ( multiply through by - 1 )
2x - y = - 13
Find the median, first quartile, third quartile, and interquartile range of the data.
84,75,90,87,99,91,85,88,76,92,94
median:
first quartile:
third quartile:
interquartile range:
am confused :/
Answer:
Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8
Step-by-step explanation:
1. Sort the numbers in numerical order (like 1, 2, 3, etc.)
2. Find the number that is in the middle
3. Find all the quartiles by finding the median of the lower and upper halves of the list
4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR
Leslie asked a representative sample of 40 of her classmates about their favorite type of movie for an upcoming film festival.
Fill in the table to show reasonable predictions for the whole class.
Her class has a total of 160 students.
Answer:
Step-by-step explanation:
what is the equation of the line that passes through the point (-2,-8) and has the slope of 1
Answer:
y=x-6
Step-by-step explanation:
Please! I Need Help!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
Sales tax: $______
The sales tax is 6.7% from $498.00 -> The sales tax = 498 x 6.7% = $33.366.
The total cost of the trampoline = 498 + 33.366 = $531.366
Find the volume in the cube of centimeters of rectangle prisms - PLSS HELPP AND HURRY PLS
Answer:
120
Step-by-step explanation:
V = lwh
l= 6
h= 4
w= 5
v= 5.4.6
= 120
all included in the picture
Answer:
(-4,3)
Step-by-step explanation:
Answer:
Option 1 : (-4,3)
Step-by-step explanation:
When doing coordinates we always go across first the up or down.
Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.
Therefore our answer must be (-4,3)
Sitting in your sailboat looking at the horizon, you see a lighthouse 500 feet away. Looking up at a 20*, you see the light at the top of the lighthouse. How far off the ground is the light in the lighthouse? Round your answer to the nearest tenth.
Answer:
i think its 100feet away when u look 20°