The area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.
How to determine the area1. Area of a triangle = 1/2 base × height
Area = 1/2 × 5 × 3
Area = 1/2 × 15
Area = 7. 5 ft²
2. Area of trapezoid = [tex]\frac{a + b}{2} h[/tex]
a = 4ft
b = 0. 2ft
h = 5ft
Area = [tex]\frac{4 + 0.2}{2}* 5[/tex]
Area = [tex]\frac{4.2}{2} * 5[/tex]
Area = 2.1 × 5
Area = 10. 5 ft²
3. Area of rectangle = length × width
Area of rectangle = 0. 2 × 4
Area of rectangle = 0. 8 ft²
4. Total area of tree = area of triangle + area of trapezoid + area of rectangle
Total area of tree = 7. 5 + 10. 5 + 0. 8
Total area of tree = 18. 8 ft²
Thus, the area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.
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SOMEONE PLS HELP ASAP, ITS GEOMETRY. ITS URGENT PLSSSS
6) ∠FOC is vertical to ∠EOD
7) m∠POF is complementary to M∠FOB.
8) m∠AOC = 30°
How to determine congruent angles?
6) Vertical angles are angles that are opposite of each other when two lines cross. Thus;
∠FOC is vertical to ∠EOD
7) Given that m∠POF + M∠FOB = 90
Two angles are called complementary when their measures add to 90 degrees. Thus;
m∠POF is complementary to M∠FOB.
8) m∠BOC = 150. Thus;
m∠AOC = 180 - 150
m∠AOC = 30° because they are supplementary angles.
9) m∠EOA = 37. Thus;
m∠FOA = 180 - 37
m∠FOA = 143° because they are supplementary angles.
10) ∠EGH is adjacent to ∠OGH
This is from definition of adjacent angles
11) ∠EGH ≅ ∠DOB
m∠HGO = 128°, m∠DOB = 180° - 128° = 52° because they are supplementary angles.
12) m∠EOA = 67°, m∠DOB = 29°. Thus;
m∠EOD = 180 - (67 + 29)
m∠EOD = 84° because sum of angles on a line is 180°
13) m∠AOD + m∠DOB = 180 means that ∠AOD is supplementary to ∠DOB.
14) ∠COF ≅ ∠DOF and so we can say that;
FO is perpendicular to CD.
15) m∠COP = 72° and m∠POF = 31°. Thus;
m∠EOD = 72 + 31
m∠EOD = 103°
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In the following exercises, multiply the binomials. Use any method.
246. (q − 5)(q + 8)
Answer:
Hence the expression [tex]$$(q-5)(q+8)=q^2+3q-40$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (q-5)(q+8).We have to multiply the given expression.Multiply the (q-5) by 8 , multiply the (q-5) by q then add like terms.[tex]$$\frac{\begin{matrix}{} & {} & q & - & 5 \\ \times & {} & q & + & 8 \\ \end{matrix}}[/tex]
_____________
[tex]{\frac{\begin{matrix}{} & {} & 8q & - & 40 \\ {{q}^2} & - & 5q & {} & {} \\ \end{matrix}}{\begin{matrix}{{q}^2} & + & 3q & - & 40 \\ \end{matrix}}}$$[/tex]
10 to the 2nd power divided by 0.00541 to the nearist tenth
Answer:
18484.3
Step-by-step explanation:
[tex]\frac{10^2}{0.00541}[/tex]
[tex]\frac{100}{0.00541}[/tex]
18484.3
The sum of four consecutive evan numbers is 660. Find these numbers.
Answer:The numbers are 162,164,166,168,
Step-by-step explanation:
The solution is in the attached
Answer: The numbers are 162,164,166,168,
Step-by-step explanation:
Given: ΔABC is isosceles; AB ≅ AC
Prove: ∠B ≅ ∠C
Triangle A B C is shown. Sides B A and A C are congruent.
We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that .
Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the .
However, this contradicts the given information that . Therefore, , which is what we wished to prove.
Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.
AB = AC, they are equivalent. Since an isosceles triangle has the congruent angle property, mB = mC cannot be shown until AB=AC.
What is Isosceles triangles?Generally, Isosceles triangles are those that have two sides that are equal in length and two angles that are also equal in size.
Hence The sides and angles theorem for triangles., and the side AB is equal to the other side AC,
In conclusion, Assuming that the base angles, mB, and mC, are of equal measure, the triangle sides and angles theorem states that segment AC is larger than AB. The bigger angle of a triangle is always opposite to the longer side, according to the theorem.
AB is congruent to AC cannot be proven unless AB=AC then,
m<B = m<C because the isosceles triangle has the congruent angle property
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Answer:
AB = AC
Triangle parts relationship theorem
side AB is congruent to side AC
angle B is congruent to angle c
Step-by-step explanation:
Mr. Suksod drives from his house to the office at a rate of speed of 82 km/h in 15 minutes. Mr.
Taylor, whose house is as far from the office as Mr. Suksod's, drives for 10 minutes to reach the
same office. What is the difference in the rate of speed that they drive?
The difference in speed is 41 km /hr.
What is the difference in speed?Average speed is the total distance travelled per time.
Average speed = total distance / total time
The first step is to determine the distance that Mr. Suksod drives.
Distance = average speed x time
82 x (15/60) = 20.50 km
The second step is to determine the average speed of Mr Taylor = 20.50 ÷ (10/60) = 123 km /hr
Difference in speed = 123 - 82 = 41 km /hr
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Students of different ages are kept in a row,All of them have age difference of 3 years who are consecutive to each other. The age of first students row is 8 years. a) Restate the formula of to find the nth term of AP b) find the age of fourth student in rowc) find the sum of total ages if there are 20 students in a row
The formula to find the nth term of the AP is 8 + 3(n - 1).
How to calculate the values?a = first term = 8
d = common difference = 3
The nth term will be:
= a + (n - 1)d
= 8 + (n - 1)3
= 8 + 3(n - 1)
The age of the 4th student will be:
= a + (n - 1)d
= 8 + (4 - 1)3
= 8 + 9
= 17 years
The sum of total ages if there are 20 students in a row will be:
= n/2[2a + (n - 1)d]
= 20/2 [2×8 + (20 - 1)3]
= 10 [16 + (19 × 3)]
= 10(16 + 57)
= 10(73)
= 730
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can somebody , help me find the answer , pls and ty for ur help and pls dont give me a wrong answer just for the points pls and ty .
Need help.
Please show your work if possible!!
Answer:
e
Step-by-step explanation:
let x be the number of one- bedroom and y the number of two - bedroom apartments , then create 2 equations and solve simultaneously.
x + y = 12 ( subtract y from both sides )
x = 12 - y → (1)
360x + 450y = 4950 → (2)
substitute x = 12 - y into (2)
360(12 - y) + 450y = 4950 ← distribute parenthesis and simplify left side
4320 - 360y + 450y = 4950
4320 + 90y = 4950 ( subtract 4320 from both sides )
90y = 630 ( divide both sides by 90 )
y = 7
there are 7 two- bedroom apartments
Find the area of the region defined by the region defined by the inequality 2|x| + 3|y-1| ≤ 6.
The area of the region defined by the inequality 2|x| + 3|y-1| ≤ 6 is 12 square units
How to determine the area?The inequality is given as:
2|x| + 3|y-1| ≤ 6
Next, we plot the inequality
From the graph of the inequality (see attachment), we have the following highlights:
The shape is a rhombusThe diagonals are 6 and 4 unitsThe area of a rhombus is:
A = 0.5 * d1 * d1
This gives
A = 0.5 * 6 * 4
Evaluate
A = 12
Hence, the area of the region is 12 square units
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write y=1/6x+7 in standard form using integers
The standard form using integers of the equation is 6y - x = 42
How to determine the standard formNote that solving in standard form means writing it as a simple equation
Given y = 1/6x + 7
Find the LCM of the right side, we have
y = [tex]\frac{x + 42}{6}[/tex]
Cross multiply
6 × y = x + 42
6y = x + 42
Make the variables move to the left side
6y - x = 42
Thus, the standard form using integers of the equation is 6y - x = 42
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Dana is buying Grandparents' Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends 4/5 of that on a coffee mug for her grandfather. How much money does Dana spend in all?
The total money Dana spent in all is $24.75
Ratio and proportionsRatio are written as fractions of two integers. For instance a/b.
Amount spent for grandmother = $13.75
Amount spent on grand father = 4/5 * 13.75
Amount spent on grand father = $11
Take the sum
Total money spent = $13.75 + $11
Total money spent = $24.75
Hence the total money Dana spent in all is $24.75
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2x² - 1 > 6x
Which values are included in the solution set of this inequality?
x = 4
Step-by-step explanation:
2x² - 1 > 6x
2(4)²-1 > 6(4)
2(16)-1 > 24
32-1 > 24
31 > 24
Kevin built a wooden flower box for his garden. The area of the base of the box is 264 square centimeters. If the rectangular base has the dimensions shown below, what
is the value of x?
I'm not sure
this app is the wrst don't trust it
The value of the variable x will be 44 cm.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
Kevin built a wooden flower box for his garden. The area of the base of the box is 264 square centimeters.
If the rectangular base has the dimensions shown below.
Then the value of the variable x will be
A = L × W
264 = 6x
x = 264 / 6
x = 44 cm
The value of the variable x will be 44 cm.
The top view of the wooden flower box is given below.
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Please help
The question is:
Which shows how to find the value when x = (-2) and y = 5?
I attached the equation & choices
Answer:
i believe the answer is 3^2(-2)^6/ 5^4
Step-by-step explanation:
Each side of a hexagon is 10 inches longer than the previous side. what is the length of the shortest side of this hexagon if its perimeter is 401 inches?
The length of the shortest side of the hexagon is; 41.833 inches
How to find the perimeter of a Polygon?
Let the length of the shortest side of the hexagon be x. Now, a hexagon has six sides and if the next side is 10 inches longer than the previous side, then the length of the six sides are;
x, x + 10, x + 20, x + 30, x + 40, x + 50
Perimeter is given as 401 inches. Thus;
x + x + 10 + x + 20 + x + 30 + x + 40 + x + 50 = 401
6x + 150 = 401
6x = 401 - 150
6x = 251
x = 251/6
x = 41.833 inches
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The number of visitors to the homepage of an online magazine can be modeled by the equation y = 1100.74x − 1976.47, where x = 5 represents the year 2005 and y represents the total number of visitors.
The function y = 1100.74x - 1976.47 represent the total number of visitors x years after 2005.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total number of visitors x years after 2005. Hence:
y = 1100.74x - 1976.47
The function y = 1100.74x - 1976.47 represent the total number of visitors x years after 2005.
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Surface area=
Please help me asap thanks
Answer:
100π
Step-by-step explanation:
The formula for the surface area of a sphere is SA = 4πr^2, where r is the radius of the sphere and SA stands for surface area. We are given that the radius is 5, so if we plug this into the formula, we get that SA = 4π*(5)^2, or SA = 4 * 25 * π. If we solve it out, we get 100π. If the software wants you to let π be 3.14 and evaluate, you will get approximately 314. I hope this helps
Which are other possible names for ∠RPE ? Choose each correct answer. ∠2 ∠EPR ∠RPF ∠P ∠DPF ∠PRE
The other possible names of ∠RPE are ∠P and ∠EPR
How to determine the other possible names?The angle is given as:
∠RPE
The angle is named after the middle alphabet.
The middle alphabet in ∠RPE is P
This means that ∠P is a possible name for ∠RPE
Also, the positions of R and P can be interchanged.
So, we have:
∠EPR
Hence, the other possible names of ∠RPE are ∠P and ∠EPR
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There are 8 apples in a small fruit basket and 14 apples in a large fruit basket. If Sally buys a total of 5 fruit baskets that have a combined total of 58 apples, write an equation that represents the total number of apples that Sally has.
The equation that represents the total number of apples that Sally has will be the equations x + y = 8 and 8x + 14y = 58
System of equationSystem of equations are equations that consists of two or more equations.
Let the number of small fruits basket be y
Large fruit basket be y
If Sally buys a total of 5 fruit baskets, then;
x + y = 8
If there are 8 apples in a small fruit basket and 14 apples in a large fruit basket with a combined total of 58 apples, then;
8x + 14y = 58
The equation that represents the total number of apples that Sally has will be the equations x + y = 8 and 8x + 14y = 58
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In construction, the precision used to build a structure directly influences the strength of the structure. In the Rocky Mountains, many houses’ roofs are built using trusses, which are strong enough to support the heavy load from snow, but light enough to build in a stockyard and transport to the construction site. Chris works in the stockyard. He has been told he needs to build a series of trusses for a new house using the pattern below. He has also been told the pattern may be inaccurate—so he needs to check and make sure Describe the angles you would need to know to verify that BC¯, DE¯, and FG¯ are all parallel to each other, and CD¯, EF¯, and GH¯ are also parallel.
What could be an appropriate measure for ∠CDE? Be prepared to explain your choice for that angle. Use that measure to find all other angles involved.
An appropriate measure for ∠CDE would be
∠CDE = ∠ADE - ∠ADC
How to check for the appropriate measure of CDE.we have the following angles as parallel BC¯, DE¯, and FG¯ also CD¯, EF¯, and GH¯.
The angles that we have to check in order to measure would be
∠ABC, ∠AEG, ∠ADC, ∠AHG, ∠ADE, ∠AFE, ∠AHG.
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Graph the function f(x)=(−x−4)(x+2).
The points of the graph of function be (0,-8) , (1,-15) ,(2,-24).
Given f(x)=(-x-4)(x+2)
We have to first multiply both the expressions to get f(x)
Expression refers to combination of numbers, symbols, variables, etc. It is usually not in equal to form. It expresses the relationship between variables. To find out the graph we need to first points of function.
f(x)=[tex]-x^{2} -2x-4x-8[/tex]
Now we have to add 2x and 4x
f(x)=[tex]-x^{2} -6x-8[/tex]
Put the value of x=0
f(0)=0-0-8
=-8
Put the value of x=1
f(1)=-1-6-8
=-15
Put the value of x=2
f(2)=-4-12-8
=-24
Now plot these points on the graph to get the graph of function f(x)=(-x-4)(x+2).
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Help pls I don’t understand WILL GIVE BRAINLIEST FOR FIRST ANSWER
Step-by-step explanation:
sin if -7.2 = -0.79 approximately -0.8
Hope you understand and hope this helps.
Good luck ✅.
Angles related to a circle. Solve for x.
The value of x from the given circle is 12
Circle theoremAngle at the vertex of the circle is half the angle at its intercepted arc.
From the given circle;
The measure of <DEF = 80/2 = 4x -8
Equate both angles
4x - 8 = 80/2
Add 8 to both sides
4x - 8 + 8 = 40 + 8
4x = 48
x =12
Hence the value of x from the given circle is 12
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You are saving money to buy a pair of pants that costs $53. You have saved $32. How much more money do you need to save?
Answer:
you need to save $21
Tavon has a gift card for 80$ that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30-day period it is not used.
Answer:
Im guessing you want it as a equation
80-3.50x+70-3x
x being the ammount of time
Step-by-step explanation:
Find the are of the trapezoid
Answer:
355.83 yd²
Step-by-step explanation:
A = (B + b)h/2
A = (21.6 yd + 19.3 yd)(17.4 yd)/2
A = 355.83 yd²
y=x^2+8
Find the Domain, explain your answer
Step-by-step explanation:
look at the attachment above ☝️
If one line passes through the points open parentheses negative 3 comma space minus 5 close parentheses space and open parentheses 1 comma space 3 close parentheses space and another line passes through the points open parentheses 0 comma space 1 close parentheses space and open parentheses 2 comma space 0 close parentheses determine if the two lines are parallel, perpendicular, or neither.
The pair of lines are parallel.
What is line?A line is a one-dimensional figure, which has length but no width.
Given:
lines passes through (-3, -5) and (1, 3)
and, line passes through (0, 1) and (2, 0)
equation of line
y + 5 = -1/2 (x + 3)
-2y - 10 = x + 3
x + 2y + 13 = 0
and, equation of line
y - 1 = -1/2 (x - 0)
-2y + 2 = x
x + 2y -2 = 0
m1= -1/2 and m2 = -1/2
Hence, the lines are parallel.
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A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, positive 1, positive 2. The second column is labeled f(x) with entries negative 13, negative 10, negative 7, negative 4, negative 1. What is the rate of change of the linear function represented by the table? StartFraction one Over three EndFraction StartFraction one Over two EndFraction 2 3
The rate of change of the linear function represented by the table is 3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the y intercept.
From the table, using the point (0, -7) and (2, -1):
m = [-1 - (-7)] / (2 - 0) = 3
The rate of change of the linear function represented by the table is 3
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