In the figure below, angles ACB and ANC are right-angles. What is the 10cm area of AABC?
A 24 cm²
B 37.5cm²
C 40cm²
D 75 cm²
Answers
Answer:
area of ΔABC = 48 cm²
Step-by-step explanation:
We have been provided with height of 6 cm and have to find base.
using Pythagoras theorem:
a² + b² = c²
a² + 6² = 10²
a² = 100 -36
a² = 64
a = √64
a = 8
Area of both triangles:
[tex]\frac{1}{2}[/tex] * base * height
[tex]\frac{1}{2}[/tex] * 8 * 6
24 cm²
area of both triangles: 24 cm² * 2 = 48 cm²
Apply Pythagorean theorem
[tex]\\ \tt\hookrightarrow AN^2=10^2-6^2[/tex]
[tex]\\ \tt\hookrightarrow AN^2=8^2[/tex]
[tex]\\ \tt\hookrightarrow AN=8cm[/tex]
AB=2(8)=16cmArea
[tex]\\ \tt\hookrightarrow \dfrac{1}{2}bh[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{1}{2}(16)(10)=8(10)=80cm^2[/tex]
Required area:-80/2=40cm^2
Related Questions
Draw a picture of 3 5/7 as a fraction.
Answers
If you would do this in whole number form, it'll be 40/7.
Answer:
3 5/7
Step-by-step explanation:
picture
what is 56/30 in its simplest form?
Answers
Answer: 1 13/15
Hope this helps!
The question is in the picture.
Answers
Answer:
x = 7[tex]\sqrt{3}[/tex]
Triangle area formula: base * height * 1/2
We are given:
Base - 14 cm
Height - x
Using the pythagorean theroem (a^2 + b^2 = c^2) we can figure out the height.
We are given:
Side a - 14 / 2 = 7 cm
Side b - the height (x)
Side c - 14 (it's an equilateral triangle)
Now, substitute the given values:
7^2 + x^2 = 14^2
49 + x^2 = 196
x^2 = 147
x = [tex]\sqrt{147}[/tex]
x = 7[tex]\sqrt{3}[/tex]
Need help on the last problem please. Thank you
Answers
Answer:
sorry but i can not see clearly sorry
Step-by-step explanation:
i am realy realy sorry :( :(
Hey guys ! Can anyone help me with these problems please and thanks
Answers
1)
m = 3√2√2
= 6
n = a
= 3√2
Answer = D) m = 6 , n = 3√2
2)
m = n = a
m = 3
n = 3
Answer = A
Incorrect
Question 6
VNIA.
The figure is a trapezoid. Solve for the measure of angle Hand the measure of angle K.
1
439
H
a
104°
K
76
measure of angle H =
measure of angle K = 137
Answers
Answer:
∠H = 137°
∠K = 76°
Step-by-step explanation:
The sum of the interior angles of a trapezoid = 360°
In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180°
The legs are the non-parallel sides: JK and HI
Therefore, 104 + ∠K = 180
⇒ ∠K = 180 - 104 = 76°
And, ∠H + 43 = 180
⇒ ∠H = 180 - 43 = 137°
Sum of two adjacent angles in trapezium equals 180°
[tex]\\ \tt\hookrightarrow <H+43=180[/tex]
[tex]\\ \tt\hookrightarrow <H=180-43[/tex]
[tex]\\ \tt\hookrightarrow <H=137[/tex]
And
[tex]\\ \tt\hookrightarrow <K+104=180[/tex]
[tex]\\ \tt\hookrightarrow <K=180-104[/tex]
[tex]\\ \tt\hookrightarrow <K=76°[/tex]
Find the product. Simplify your answer.
(2v+2)(3v–2)
Multiplying Binomials.
I suck at math.
Answers
Answer:
See below.
Step-by-step explanation:
(2v+2)(3v-2)
6v²-4v+6v-4
6v²-2v-4
-hope it helps
(Also, I'm great at algebra, so let me know if you need anymore help.)
Step-by-step explanation:
2v (3v-2)+2 (3v-2)
6v^2-4v+6v-4
6v^2+2v-4
HELP ME FIND MIDPOINT
Answers
Answer: (-1/2, 0) which is the same as saying (-0.5, 0)
================================================
Explanation:
The x coordinates of A and B are -2 and 1 respectively.
Add up those values to get -2+1 = -1
Then cut that result in half: -1/2 = -0.5
This is the x coordinate of the midpoint.
--------
Repeat for the y coordinates:
Add: 1 + (-1) = 0
Cut in half: 0/2 = 0
The y coordinate of the midpoint is 0
-------
Overall, the midpoint is located at (-1/2, 0) which is the same as writing (-0.5, 0). This is where the segment AB crosses the x axis.
I need this answered ASAP. A baseball hit by
a player in the major leagues
can leave the bat at a speed
of 110 miles per hour.
Suppose a batter hits a ball
at that speed directly back
to the pitcher’s mound,
about 61 feet from home
plate. To the nearest tenth of
a second, how long does it
take the ball to reach the mound?
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Quadrilaterals are formed on the side of a fishing tackle box by the adjustable shelves and connecting pieces. Explain why the shelves are always parallel to each other no matter what their position is.
Answers
If both pairs of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
Find the value of x and y in parallelogram ABCD.
A) x = 13, y = 7
B) x = 15, y = 6
C) x = 1, y = 1
D) x = 6, y = 8
E) None of the answers are correct
Answers
Step-by-step explanation:
х-7=6 , х=13
2у-6=8 у= 7
А)
10
Find the area of the semicircle.
Either enter an exact answer terms of ar or use 3.14 for at and enter your answer as a decimal.
units2
Answers
Answer: 39.25
========================================
Work Shown:
d = diameter = 10
r = radius = d/2 = 10/2 = 5
A = area of a full circle
A = pi*r^2 = 3.14*5^2 = 78.5
Cut this in half to get the area of a semicircle (aka half circle)
(78.5)/2 = 39.25
This result is approximate.
HELP PLEASE, IF YOU GET IT RIGHT YOU WILL RECEIVE BRAINIEST !!!!
Answers
Answer:
ok it is very hardest app
What number is in between 6534 and 6565
Answers
Answer:
I am assuming any number in between these two, so let's just say 6,550.
Step-by-step explanation:
If you count up from 6,534, you will eventually get to 6,550. If you continue to count up, you will eventually reach 6,565 which is bigger than 6,550.
A class has 7 boys and 10 girls. Select all associated ratios for this class.
10:3
7:3
17:5
7:17
10:7
10:17
7:10
3:7
Answers
Answer:
7:10
Step-by-step explanation:
…..
because boys number is 7 and girl number is 10 so
What is the value of the expression n(8n/10) when n =
5?
Answers
Answer:
(8n/10)
8 × 5 = 40
40 ÷ 10 = 4
Consider the polynomial p(x) = 16x4 - 81y4. Which of the following are equivalent expressions?
Select all that apply.
Answers
Answer:
Second expression and Last expression
Step-by-step explanation:
Second expression and Last expression
1. [tex](4x^2-9y^2)(4x^2-9y^2)[/tex]
[tex]4x^2(4x^2-9y^2)-9y^2(4x^2-9y^2)[/tex]
[tex]16x^4 -36x^2y^2 -36x^2y^2+81y^4[/tex]
[tex]16x^4 -72x^2y^2+81y^4[/tex]
2. [tex](4x^2-9y^2)(4x^2+9y^2)[/tex]
[tex]4x^2(4x^2+9y^2)-9y^2(4x^2+9y^2)[/tex]
[tex]16x^4+36x^2y^2-36x^2y^2-81y^4[/tex]
[tex]16x^4-36y^4[/tex]
3. [tex](4x^2+9y^2)(2x-3y)(2x-3y)[/tex]
[tex](4x^2+9y^2)(4x^2-6xy-6xy+9y^2)[/tex]
[tex](4x^2+9y^2)(4x^2-12xy+9y^2)[/tex]
[tex]16x^4-48x^3y+36x^2y^2+36x^2y^2-108xy^3+81y^4[/tex]
[tex]16x^4 -48x^3y+72x^2y^2-108y^3+81y^4[/tex]
4. [tex](4x^2+9y^2)(2x+3y)(2x+3y)[/tex]
[tex](4x^2+9y^2)(4x^2+6xy+6xy+9y^2)[/tex]
[tex](4x^2+9y^2)(4x^2+12xy+9y^2)[/tex]
[tex]16x^4+48x^3y+36x^2y^2+36x^2y^2+108xy^3+81y^4[/tex]
[tex]16x^4+48x^3y+72x^2^2+108xy^3+81y^4[/tex]
5. [tex](4x^2+9y^2)(2x+3y)(2x-3y)[/tex]
[tex](4x^2+9y^2)(4x^2-6xy+6xy-9y^2)[/tex]
[tex](4x^2+9y^2)(4x^2-9y^2)[/tex]
[tex]16x^4-36x^2y^2+36x^2y^2-81y^4[/tex]
[tex]16x^4-81y^4[/tex]
Hope this helps!
If you only have a 1 3 cup measuring cup and a recipe calls for 5 1 3 cups of flour, how many 1/3 cups would you need to use?
Answers
Answer:
You would need 16 1/3 cups!
Step-by-step explanation:
I used an equation, but you could also use mental conversions! :
1/3c = 5 1/3
(1/3c)3 = (5 1/3)3 (multiply each side by 3 (3/1))
3c /3 = (48) /3 (divide each side by 3)
c = 16
:)
(c = cups!)
The requried number of 1/3 cups to make the recipe is 16.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Measuring cup = 1/3
Recipe required number of cups = 5 1/3 of flour,
Let the number of 1/3 cups = x
1/3x = 5 1 / 3
x/3 = 16 / 3
x = 16
Thus, the requried number of 1/3 cups to make the recipe is 16.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ2
can I have help pls
Answers
let’s decide whether the following points are on the line 2x=y - 7
(-8.6, -10.2)
Answers
Answer:
14.997
Step-by-step explanation:
yea yeaaa i knowwww
While shopping at the mall, Tom bought 3 hats and 4 pairs of glasses and spent $123. His friend Jerry bought the same type of items consisting of 1 hat and 3 pairs of glasses and spent $66. How much does a pair of glasses cost? How much does a hat cost?
Answers
Answer:
a pair of glasses costs $17
a hat costs $21
Step-by-step explanation:
h = hat
g = glasses
3h + 4g = 123
1h + 3g = 66
multiply the 2nd equation by 3
3h + 9g = 198
negate everything in the 1st equation and add it to the 'new' 2nd equation
3h + 9g = 198
+ -3h - 4g = -123
5g = 75
g = 15
substitute the 15 in either one of the 1st equations
1h + 3(15) = 66
h + 45 = 66
h = 66-45
h = 21
to check, substitute both g=15 and h=21 into BOTH 2 original equations.
Find the dimensions of a rectangle
having a perimeter of 38 meters
and an area of 84 square meters.
What is the length of the shorter side?
Answers
what is 4,357.25 rounded to the second decimal
Answers
what is 4,357.25 rounded to the second decimal
A:4,400
Mrs.Vincent had to cut the cake into 55 slices. What percent of the cake did each student get?
Answers
Answer:
1.82 %
Step-by-step explanation:
Divide 100% among 55 students
[tex]\frac{100}{55} =1.82[/tex]
Hope this helps
Help me guys pleaseeeeeeeeeee
Answers
Solve for x in the equation X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
X= 123.22
O
x= 12+3/10
Answers
Answer:
90x8+3
Step-by-step explanation:
X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
X= 123.22
O
x= 12+3/10
Answer this pls for 15 points
Answers
this is the answer hope it helps
Answer:
3x/(x-3) (x+1)
Step-by-step explanation:
Amelia has $25 to spend on makeup this week she loves lipstick each lipstick tube cost $4 what is the maximum number of lipsticks that she can purchase
one step inequality word problems
Answers
Answer:
ok so x is how many she can buy so
4x≤25
x=6.26
so she can buy 6
Hope This Helps!!!
There is a picture inside the question pls help asap!!
Answers
Explanation:
Could I get brainliest for my amazing efforts.
what is the answer to 12+56=76(56+89)=15
Answers
Answer:
false
Step-by-step explanation:
steps:
12+56=7
simplify 12+56: 68
12+56
add the numbers: 12+56=68
=68
68=7
the sides are not equal
false