Answers
Area of the quadrilateral ABCD = (21.5 + 23.4) cm² = 44.9 cm²
How to calculate the area of ABCD?Quadrilateral ABCD is formed from two triangles ΔABD and ΔBDC.So, Area of quadrilateral ABCD= area of ΔABD and Δ BDC.
How to find area of triangle ABD?ΔABD is a right angled triangle, right angled at A, BD is the hypotenuse.
Area of ΔABD = AD x AB/2We know that in a right angled triangle, cosФ= [tex]\frac{base}{hypotenuse}[/tex] and sinФ= [tex]\frac{perpendicular}{hypotenuse}[/tex], where Ф is the angle between base and hypotenuse.Cos(55°) = [tex]\frac{AD}{10}[/tex]
⇒ AD = 5.7 cm
Sin(55°)=[tex]\frac{AB}{10}[/tex]
⇒AB=8.2 cm
Area of Δ ABD = ( 8.2 x 5.7/2) cm² =23.4 cm²
How to find area of triangle BDC?We can find the area of the triangle by the formula BD x CD x sin(44°)/2We know that sum of all the angles of a triangle is 180°∠BDC+∠BCD+∠DBC=180°
⇒∠BCD=180°-44°-38°=99°
We know according to sine rule,in a triangle ABC, [tex]\frac{sinA}{a}=\frac{sinB}{b} =\frac{sinc}{c}[/tex], where a,b,c are corresponding sides opposite to angle A,B,C
In ΔBDC
[tex]\frac{sin99}{10}=\frac{sin38}{CD}[/tex]
⇒CD =6.2 cm
Area of Δ BDC = {6.2 x 10 x sin(44°)/2} cm² = 21.5 cm²
∴ Area of the quadrilateral ABCD = (21.5 + 23.4) cm² = 44.9 cm²
Find out more about 'Quadrilateral' here: https://brainly.com/question/9338914
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Related Questions
Alex traveled 41.3 kilometers on Monday and 53.75 kilometers on Tuesday.How many kilometers did he travel in two days
Answers
Answer:
he travelled 95.05km in two days
Step-by-step explanation:
41.3+53.75=95.05
(hope this helps can i plz have brainlist :D hehe)
Answer:
95.05
Step-by-step explanation:
You have to add them both together
41.3
+ 53.75
-------------
95.05
The thing is you have to make sure you line up the decimals to get the right answer, when it comes to adding and subtracting decimals.
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8, -9) and (2, -7)
Answers
Answer:
6.3
Step-by-step explanation:
6.3.
Can somebody pls help me
Answers
Answer:
this is a right angled triangle
so by the Pythagoras theorem
h2 = √ p2+. b2
h2 = √2 square + 6 square
h2 = 4+ 36
h2 = 40
h = √40
h = 20
Answer:
c=6.3cm
Step-by-step explanation:
6²+2²=c²
36+4=c²
40=c² -> (√40 ≈ 6.32)
6.32 ≈ 6.3
Ashley is saving for a computer that costs $500. She has saved up $120
so far. Which inequality represents the amount of money, m, Ashley still
needs to save? *
O m > $120
O m<$120
O m< $380
O m > $380
Answers
Answer:
m > $380
Step-by-step explanation:
First, the math:
$500-$120= $380.
She still needs $380.
Her $380 still needed is less than m, which gives us the last answer the most logical.
I hope this helped! Have a nice day.
Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
Answers
9514 1404 393
Answer:
Kim is 13Jack is 8Step-by-step explanation:
Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...
k + (k -5) = 21
2k = 26 . . . . . . . add 5, collect terms
k = 13 . . . . . . . . . divide by 2; Kim's age
k -5 = 8 . . . . . . . Jack's age
Kim is 13; Jack is 8.
HELP i have no clue how to do this hahah
Answers
Will give 20 and mark brainliest if you give explanation and answer
Answers
Answer:
[tex] part \: a. = \boxed{2 \frac{2}{3} } \\ part \: b. = \boxed{ \$8} [/tex]
Answer:
Part A: 8/3 square inches or 2.667 square inches is the area used for peas (remember to label)
Part B: $8 for selling the peas for $3
Step-by-step explanation:
1.) To find the amount of space she uses for peas, multiply 10,2/3 (or 32/3) by 1/4. (1/4)x(32/3)=8/3. That's the area for part A
2.) (8/3)x3=8. She would make $8
Megan added 57+68 by breaking apart the number by place value. She made a mistake. Click on the first line in her work where there is a mistake
Answers
Answer:
Need to see the line to see where the mistake is
Step-by-step explanation:
which number is greater then -3 A.-1 B.-3 C.-5 D.-7
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
-1 = 1
pls help, solve for a.
Answers
Which graph represents the solution to the linear system
Sy=-3x-5
-5?
y= 3x +1
Answers
Answer:
Step-by-step explanation: both graphed is D
The graph D represents the solution of the system of the equation.
What is the system of equation?One or many equation having same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given, the system of equation;
y = -3x - 5 {equation 1}
y = 3x + 1 {equation 2}
Add both of the equation:
2y = -4
y = -2
And x = 1
And the solution set is (1 , -2).
And only D have the solution set (1 , -2)
Therefore, the graph D represents the solution of the system of the equation.
To learn more about the system of equation;
brainly.com/question/13729904
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What is the equation of the line that passes through the two points (2,3) and (-2,5)
Answers
Answer: -1/2
Step-by-step explanation:
You want to find the equation for a line that passes through the points.
We use formula y2-y1/x2-x1
5-3/-2-2 = 2/-4
= -1/2
find the value 2x-18=y when x=-10
Answers
Answer:
y=-38
Step-by-step explanation:
First we have to put the x value in
2(-10)-18=y
-20-18=y
-38=y
What is the value of X
Answers
Answer:
112*
Step-by-step explanation:
The easy way to figure this out is to take the two numbers we do have and add them together. 50 + 62 = 112
We now now the complete angle if that line was not there in the middle. and sice that angle is the same at angle X it is automatically the same, 112. If you don't understand please comment and let me know.
How to find the missing side of a triangle
Answers
Answer:
All sides of a triangle should equal 180 degrees, so just add up the given sides and subtract them from 180
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
16 / 2 = 8
a^2 + b^2 = c^2
8^2 + b^2 = 10^2
64 + b^2 = 100
-64 -64
b^2 = 36
square root 36
b = 6
so
x = 6
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
The actual length of a building is 168 feet and its width is 152 feet. If the scale length of the bulding in the drawing is 21 inches and the width is 19 inches what scale was used in the drawing
Answers
Answer:
40
Step-by-step explanation:
Answer:
1 inch = 8 feets
Step-by-step explanation:
Actual Length = 168 feets
Scale length = 21 inches
168 / 21 = 8
Actual width = 152 feets
Scale width = 19 inches
152 / 19 = 8
Hence, we can conclude that
Scale used :
1 inch = 8 feets
That is 1 inch in drawing equals 8 feets of the actual size
Find the area of the shaded region. Use 3.14 for pi.
Answers
Answer:
50.88
Step-by-step explanation:
Look at the image :)
I’m not sure what to answer.
Answers
(9-r)^4
Simplify the expression. (x-4 x² + 7) - (-5x² + 5x - 3)
Answers
x^2 - 4x + 10
sorry if there is no explanation but i hope this helps :)
:In one school district, 20% of the grade 7 teachers assigned homework over the
holiday break. If 12 teachers assigned homework, how many total grade 7 teachers are there
Plz help me
Answers
Answer:
Lo siento broders
Step-by-step explanation:
Given the following diagram, find the missing measure. Given: PMIMO 2 P m2 = 30°, m P= 30 60 90 120
Answers
Steps:
90° + 30° + p = 180°
120° + p = 180°
p = 180° - 120°
p = 60°
Check:
90° + 30° + p = 180°
90° + 30° + 60° = 180°
180° = 180° ✅
I would appreciate brainliest If this was correct and help! :)
please show your explanation <3
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
A.) 604.2
B.) 607.5
C.) 12.5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Yvonne is using a coordinate grid cor the first time. She wants to find the location of the ordered pair (3 ,7) on the grid. Starting at the origin , which movement should Yvonne do first? A- Move right along the x-axis to 3 B- Move up right along the y-axis to 7 C- Move right along the y-axis to 7 D- Move up along the x-axis to 7
Answers
Answer:
6,3
Step-by-step explanation:
a square has an area of 49 cm2. what is the length of each side?
Answers
Answer: 24.5
Step-by-step explanation:
what is 6 divided by cos72?
Answers
It's 19.41640787.
Hope this helps!!
Answer:
19.4 to 1 decimal place
Step-by-step explanation:
calculator
Ariana went shopping for a new video game.The listed price of the video game was $36 but the price with tax came to $37.08.Find the percent sales tax
Answers
Answer:
3% aka 0.03
Step-by-step explanation:
perform the division of monomials
18x⁶y²z⁵/6x³yz²
Answers
Answer:
3x³yz³
Step-by-step explanation:
18x⁶y²z⁵/6x³yz² = 18/6 x⁶⁻³ y²⁻¹ z⁵⁻² = 3x³yz³
Use the add-on method for determining interest on a loan of $,2540 with an annual rate of 6% and a term of 4 years. Then, determine the annual interest rate during the last month of the loan.
Answers
Answer:
Part A
The interest on the loan is $609.6
Part B
The interest amount on the last month is $12.7
Step-by-step explanation:
Part A
With the add-on interest method, the interest on the loan is added before the monthly payment is determined
The monthly payment, A = (P × I)/n
Where;
A = The amount payed monthly
P = The principal amount borrowed = $2,540
I = The interest on the loan = P × R × T
R = The interest on the loan = 6%
T = The duration of the loan = 4 years
n = The number of monthly payment = 4 × 12 = 48
Plugging in the variables to the simple interest formula, we get;
I = $2,540 × 6/100 × 4 = $609.6
The interest on the loan, I = $609.6
Part B
The monthly payment is therefore;
∴ A = ($2,540 + $609.6)/48 = $65.61[tex]\overline 6[/tex]
The amount payed as interest on the last month, [tex]I_m[/tex], is given as follows;
$65.61[tex]\overline 6[/tex] - $2,540/48 = $12.7
The amount payed as interest on the last month = $12.7
What is the smallest possible value for x when
1
2
x
plus 5 is greater than or equal to 3?
A.
–2
B.
–3
C.
–4
D.
–5
Answers
Answer:
a
Step-by-step explanation:
2=X - 3
X=
-5-4-3-2-1 0 1 2 3 4 5
(numbers above are a number line)
Answers
2= X -3
2+3=5
X= 5