Answer:
Area = 113.01 m²
Step-by-step explanation:
From the picture attached,
Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD
Construction to be done → Draw a perpendicular from a point A to the opposite side CD
Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(12)(10)[/tex]
= 60 m²
Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]
From ΔAEC,
sin(29°) = [tex]\frac{AE}{AC}[/tex]
AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]
AC = [tex]\sqrt{244}[/tex]
AC = 15.62 m
Therefore, AE = 15.62sin(29)
= 7.57 m
Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]
= 53.01 m²
Area of ABCD = 60 + 53.01
= 113.01 m²
WILLL GIVE BRAINIEST!!!!!
x = 1/5Y
I hope this helped! please mark brainliest and vote 5 stars >:)
Elena and jada are going home. Elena runs at a constant speed of 4 miles per hour, and jada walks at a constant speed of 2 miles per hour. How far will each one be after 1.5
hours
Answer:
Elena will run 6 miles in 1.5 hours
Jada will walk 3 miles in 1.5 hours
Step-by-step explanation:
Multiply: 4*1.5=6 (Elena's)
Multiply:2*1.5=3 (Jada's)
Elena will run 6 miles in 1.5 hours
Jada will walk 3 miles in 1.5 hours
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Please correct me if I'm wrong
please help me (see picture)
Answer:
107 degrees
Step-by-step explanation:
to find x = 180 - (180-73-34)
x = 180 - 73
x = 107
HUrRiCAn KatrINa?? MORe liKE?
Answer:
Step-by-step explanation:
HUrRiCAn PepiNa
Mitch puts $500.00 into an account to use for school expenses. The account earns 12% interest,
compounded annually. How much will be in the account after 8 years? Round your answer to
the nearest cent.
pls hurry it’s for a math test
Answer:
there will be 20 dollars
Step-by-step explanation:
500 multiplied by .12 and then timesed by 8 then subtracted by 500
You're given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you constructusing these measurements?
Answer: The 40° angle and the fixed side lengths of 10 cm and 8 cm uniquely determine the locations of Points A and B. Thus, you can construct only one triangle using these measurements.
Step-by-step explanation:
Hope it helps mark me brainliest.
The graph of 3x - 5y = 12 is shown on the grid. Which ordered pair is in the solution set of 3x - 5y 2 12? es ) A) (0,5) B) (5,0) © (-3,5) D) (-5,3)
Answer:
i think itz C
Step-by-step explanation:
The required ordered pair is (5,0) in the solution set of the given inequality 3x - 5y ≥ 12. The correct answer would be option (B).
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given graph of 3x - 5y = 12 is shown on the grid.
To find the solution set of 3x - 5y ≥ 12, we need to shade the region of line 3x - 5y = 12 since it represents all the points that make the inequality true.
When all the given points are drawn in the graph, then we get the ordered pair (5,0) in the solution set of the given inequality.
Thus, the required ordered pair is (5,0) in the solution set of the given inequality 3x - 5y ≥ 12.
Therefore, the correct answer would be an option (B).
Learn more about inequalities here :
brainly.com/question/20383699
#SPJ2
A rectangular poster is 2/3 meter long and 1/2 meter wide. What is the area of the poster in fraction form
Answer:
1/3
Step-by-step explanation:
Which ordered pair is the solution to this system of equations?
2x - y = 10
x+y=2
A) (4,-2)
B) (4,2)
C) (2,-4)
D) (-4,2)
Answer:
A) (4, -2)
Step-by-step explanation:
1. Ames earns an annual salary of $265,000. If income tax is 6%, what is the amount of income tax in dollars and cents that the doctor must pay?
O A. $13,250
O B. $15,900
O C. $18,400
O D. $21,860
Answer:
B. $15,900
Step-by-step explanation:
$265,000 x .06 = $15,900
What is the greatest common factor of 42 and 50?
Answer:
2 is the gcf of 42 and 50
The greatest common factor of 42 and 50 is: 2
How to find the Greatest common factor?The greatest common factor, the name implies, is the greatest among all common factors among the quantities.
We have to factorize the quantities in the smallest relative factors possible (one level of factors over which all quantities can form themselves) and collect as many common factors as we could.
Those will together compose GCF.
Take out the factors of the numbers given:
42: 1, 2, 3, 6, 7, 14, 21, 42
50: 1, 2, 5, 10, 25, 50
The common numbers between the two are 1 and 2, but the greatest number is 2, which becomes the greatest common factor.
Learn more about the greatest common factor here:
https://brainly.com/question/207329
#SPJ6
pleaze help the question is in the picture
Answer:
A because we need the amount of time she played soccer for so we need to add the 2 days together
Step-by-step explanation:
help Find value of ST, Geometry problem
Answer:
It would be 13.
Step-by-step explanation:
which of the following equations is equivalent to 100x - 90 - x + 25 = 30?
Answer:
99x-65=30
Step-by-step explanation:
i’m stuck with these questions
Answer:
Step-by-step explanation:
3) using the property of opposite angles we can work out that HFJ=138
Its that simple. if two lines intersect, the angles on either side are the same
4)I don't know how to find segments of circles...
Step-by-step explanation:
option A 138 °option D 320°option 300°plz mark my answer as brainlist plzzzz.
hope this will be helpful to you
Help me please...........
Answer:
6/19
Step-by-step explanation:
Answer:
6/19 subtracting 3 each time form the numerator
Step-by-step explanation:
A line passes through the point (-8, – 4) and has a slope of 5/4 write an equation in point slope form
y=5/4x+6 is in slope intercept form I forgot how to do point slope
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks plus $250 for each ton of sugar
transported. The total cost, C (in dollars), for transporting n tons is given by the following.
C = 3500+ 250n
What is the total cost of transporting 15 tons?
In the total cost is $8750, how many tons is the company transporting?
Answer: Equation relating C to S :
The total cost to transport 19 tons of sugar is $11, 250.
Step-by-step explanation:
Given : It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar transported.
Total cost = $6500 + $250 x (amount of sugar transported ( in tons))
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported.
Then, the equation relating C to S would be :
When S= 19 , we get
Hence, the total cost to transport 19 tons of sugar would be $11, 250.
a) Find the value of 8 1/3
b) Find the value of 8 2/3
c) Find the value of 16 3/4
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer:
2, 4 and 8
Step-by-step explanation:
Using the rule of exponents/ radicals
[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]
(a)
[tex]8^{\frac{1}{3} }[/tex] = [tex]\sqrt[3]{8}[/tex] = 2
(b)
[tex]8^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{8^{2} }[/tex] = 2² = 4
(c)
[tex]16^{\frac{3}{4} }[/tex] = [tex]\sqrt[4]{16^{3} }[/tex] = 2³ = 8
how can i solve this problem
Step-by-step explanation:
first find x
2x+15=6x-1
15+1=6x-2x
16=4x
x=4
then find the value of the angle
6(4)-1=23
lmk if it is right
Answer:
Step-by-step explanation:
In rectangle, diagonals bisect each other and diagonals are equal.
So, AE = DE
∠ADE = ∠DAE {Angles opposite to equal sides are equal}
6x - 1 = 2x + 15
6x = 2x + 15 + 1
6x = 2x + 16
6x -2x = 16
4x = 16
x = 16/4
x = 4
∠ADE = 6x - 1
= 6*4 - 1
= 24 - 1
= 23
Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?
Answer: I can if there’s a picture...
Step-by-step explanation:
Answer: cgia
Step-by-step explanation:
Find f (-12) if f (x) = -12x + 100
f(-12) = -12(-12) + 100 = 144 + 100 = 244
Answer:
244
Step-by-step explanation:
Substitute -12 as x.
f (-12) = -12(-12) + 100
f (-12) = 144 + 100
f (-12) = 244
I hope this helped! :)
What is the eqution of the following line?
y=4x−1
y=4x+4
y=−4x+4
y=−4x−1
1) someone help easy math question
73 minus what plus 24 equals 73
Answer:
24
Step-by-step explanation:
PLEASE HELP, I CANT FIGURE IT OUT AND IT IS DUE TOMORROW MORNING
Find area of the isosceles triangle formed by the vertex and the x-intercepts of parabola y=−x^2−4x+21.
Answer:
Xmin: -10
Xmax: 10
Ymin: -10
Ymax: 10
if line f passes through points (9 , 9) and (6 , 1) . Line g is perpendicular to line f. What is the slope of line g?
In an exponential function, what does the 'a' represent?
19% of £394.22. Give your answer rounded to 2 DP.
Someone please quickly respond back! Thanks.
Answer:
3
Step-by-step explanation:
if you round it by the nearest 2 you get 3
umm helpppppppppppppp
Answer:
Step-by-step explanation:
y= 2x +1 because
11= 2*5 +1
13 = 2*6 +1
21= 2*10 +1
so for x=8 will be n= 2*8+1 = 17