Answer:
Step-by-step explanation:Given : right triangle ABC , AE^2 + EB^2 =9 and BE^2 + EC^2 = 16
To find : AC
Solution:
BE ⊥ AC
∠AEB = 90°
=> ΔAEB is right angled
=> AB² = AE² + EB²
=> AB² = 9
∠BEC = 90°
=> ΔBEC is right angled
=> BC² = BE² + EC²
=> BC² = 16
∠ABC = 90°
=> AC² = AB² + BC²
=> AC² = 9 + 16
=> AC² = 25
=> AC = 5
AC = 5
The length of AC is 5 units.
What is a Triangle?Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.
As per the given data:
We are given the diagram of ΔABC which is right-angled.
BE is perpendicular to AC.
AE² + EB² = 9 ...(i)
BE² + EC² = 16 ..(ii)
By using the Pythagoras theorem in ΔABE:
AE² + EB² = AB²
From comparing with eq (i)
AB² = 9
AB = √9 = 3 units
By using the Pythagoras theorem in ΔCBE:
BE² + EC² = BC²
From comparing with eq (ii)
BC² = 16
BC = √16 = 4 units
By using the Pythagoras theorem in ΔABC:
AB² + BC² = AC²
AC² = 3² + 4²
AC² = 9 + 16 = 25
AC = 5 units.
The length of AC is 5 units.
Hence, The length of AC is 5 units.
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Complete these statements.
1. An algebraic expression with one or more terms is called a
. There are 14 boys and 9 girls in Mrs. Saldaña's math class. What is the ratio of students to teachers?
A 14/1
B 9:1
C 23:1
D 23 to 2
Answer:
it would be c. 23:1 because there's 23 students in all and only one teacher
teresa wants to make some cookies the recipe calls for 5 eggs and 10 tablespoons of butter but she only has 3 eggs she needs to know if she has enough butter to make the cookies with only three eggs how much butter will she need
Answer:
I think Teresa needs 6 tablespoons of butter..
Step-by-step explanation:
Hope this right...but if it's not,im so sorry
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $11,000.00, how much was the car worth when she bought it?
A.
$12,100.00
B.
$12,222.22
C.
$12,941.18
D.
$11,578.95
Answer:
B
Step-by-step explanation:
Triangle ABC is graphed on the coordinate plane below. What is the approximate length of segment AB in units.
Answer:
5 units
Step-by-step explanation:
Count from point A to point B on the x-axis.
PLEAS HELP WILL GIVE BRAINLIESTT
Answer: An equation could be x = 3y.
Step-by-step explanation:
1) (51 – 4 + 5n") + (3 + 3n" + 1")
A) 8n+ 3
B) 814 + 61 - 1
C) 87+ + 3 + 1
D) 81+ + 31 - 1
Answer:
tanong mo sa pagong
Step-by-step explanation:
tanong mo baka alam
The water was pumped out of a backyard pond. What is the domain of this
graph?
The domain of the graph is,
''All integers less than or equal to 6''.
Option C is true.
What is Domain of graph?
Domain of a graph consists of all the input values shown on the x - axis.
The graph of a function is shown in figure.
Now, The graph is defined on the value less than 6 on the x -axis.
And, The domain of a graph consists of all the input values shown on the x - axis.
Thus, The domain of the graph is,
''All integers less than or equal to 6''.
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solve the quadratic equations below.
3x2 + 22x + 35 = 0
Step-by-step explanation:
3x² + 22x + 35 = 0
(3x + 7)(x + 5) = 0
3x + 7 = 0
x = -7/3
or x+5 = 0
x = -5
Write an equation (division) with fractions that equals 6/8
:)
Answer:
3/4 ÷ 1/2
RECHECK:
3/4 ÷ 1/2
3 / 8 x 2 / 1 = 6/8
hOPE ITS RIGHT!
Answer:
Step-by-step explanation:
HCF of 6 and 8 is 2
6÷2 / 8÷2 = 3/4
54 out of 180 as a percentage
Please show you working
High points and I will brainliest youuuuuu
Answer:
30%
Step-by-step explanation:
54 / 180 x 100% = 30%
Answer:
30% g;jujhklki/;k/lh
Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
Answer:
the answe is 10.30
Step-by-step explanation:
im also from k12 lol
PLEASE ANSWER THIS QUICKLY WITH PLOT POINTS!! ILL GIVE BRAINLIEST!
y=-8 y=-2-12
Answer:
For the first one your first point is going to be on (0, -8) and will be a continuous horizontal line.
For the second equation the first point will be on (0, -12)
you want to go down two points and go to the right once point so (1, -14), (2,-16), (3,-18)
you also want to go up two points and to the left once so (-1, -10), (-2, -8), (-3, -6) and so on
can someone help solve? will give brainliest
Answer:
Step-by-step explanation:
Your answer
About all the sides are equal so we can say (10x + 44) side's triagle is twice than another triangle
So, 10x + 44 = 2( 8x - 23)
..... 10x +44 = 16x -46
...... X = 15
Mark it as Brainlist answer. Follow me.
The WSJ lists a bond as Acme 9s13 and the price as 89.875. If your required rate of return is 10%, would you buy one of these bonds in 2001?
Answer :
Yes
Explanation :
A bond in finance may be defined as an instrument of the indebtedness of a bond. It is a fixed income instrument that shows a loan by investors. Bonds may be in mutual funds or in private funding.
Here in the question it is given that WSJ is a company and it listed a bond on the market as Acme 9s13.
The price of the bond 89.875
The rate of return rate will be = 10%
So I will buy the bond of WSJ in the year 2001 as it will give a return of $ 931.00
HELP QUICK!! solve by substitution and show work please
Answer: You should solve by equal method not substitution. y=7 x=2
Step-by-step explanation: Equal value method is when two things equal each other and in this case both 3x+1 and 5x-3 equal y so they also equal each other. 3x+1=5x-3 add 3 to each sides
3x+4=5x subtract 3x from each side
4=2x divide by 2
x=2 solve for y=3x+1
y=3(2)+1
y=7
in a city 30 °/• are female and 40°/. are males . what are remaining children
Answer:
30% are children.
Step-by-step explanation:
Females = 30%
Males = 40%
Therefore, children = 100% (total) - 30% + 40%
100 - 70
30%
in a city 30 °/• are female and 40°/. are males . what are remaining children?
SOLUTION:Given,
▶️ percentage of females = 30%
▶️ percentage of males = 40%
▶️ let the percentage of children be x.
Now,
▶️ x = 100% (total population) - 30% + 40%
▶️ x = 100% - 70%
▶️ x = 30% (Children population)
ANSWER:The population % of children in a city is 30%.
NEED HELP NOWAngles not necessarily drawn to scale
Answer:
x = 45 degrees
Step-by-step explanation:
Opposite adjacent angles are congruent
160 - x = 115
x = 45
Anybody good in geometry and know how to do this ? Free Brainliest and points
Answer:
Answer- 1696.5 cubic inches
Step-by-step explanation:
r = d/2
r = 12/2 = 6 inches
Volume V = πhr^2
V = 3.14×15×6×6
V = 1695.6
Answer:
Its D
Step-by-step explanation:
(c) Expand and simplify
(x-6)(x+9)
Answer:
x^2 +3x -54
Step-by-step explanation:
Use the method FOIL
(First, Outer, Inner, Last)
1. Multiply the 1st terms in bracket 1 and the 1st term in bracket 2:
(x × x)
2. Multiply the 1st term in bracket 1 and the 2nd term in bracket 2:
(x × 9)
3. Multiply the 2nd term in bracket 1 and the 1st term in bracket 2:
(-6 × x)
4. Multiply the 2nd term in bracket 1 and the 2nd term in bracket 2:
(-6 × 9)
5. You'll get the answer:
(x^2 + 9x - 6x - 54)
(x^2 + 3x -54)
Katie picked 25 carrots from her garden and divided them equally into 5 bunches to give to her neighbors. How many carrots are in each bunch?
Answer:
5
25/5=5
Step-by-step explanation:
Rosa purchase two chocolate bars and six ice cream bars for each of her five friends chocolate bars cost $3 each and eat ice cream bars W dollars each which expression represents the total amount Rose has been on her five friends?
Answer:
3W
Step-by-step explanation:
Can someone please help me with my math corrections?
HELP ASAP I WILL MARK BRAINLIEST
Answer:
It's the first one...!!!
A group of biologists are surveying the mice population in the forest. The equation N=75•3^t gives the total number of mice, N, t years since the survey began. Explain what the numbers 75 and 3 mean in this situation.
Ariel sold bags of gourmet popcorn for the school fundraiser. She sold 30 bags in two weeks, raising $112.50 for the school. How much did a bag of gourmet popcorn cost?
Answer:
3.75 dollars
Step-by-step explanation:
If 30 bags of popcorn = 112.50
Then what would one bag equal?
First start off by putting money/bags
[tex]\frac{112.50}{30}[/tex]
Then solve.
112.50/30 = 3.75
Your answer is 3.75.
Hope this is correct, and hope it helps ^_^
Answer:
$3.75 per bag
Step-by-step explanation:
Put the total cost (112.50) and divide it by how many she sold (30) to get your answer. hope this helped
a
y = 2x + 5
C.
Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7)
Answer:
c .....the answer is c.....
Step-by-step explanation:
I hope this helps
10/9= 2/3xd
what is the value of D
Answer:
d=5/3x
Step-by-step explanation:
Let's solve for d.
(2/3x)(d)=10/9
Step 1: Divide both sides by (2x)/3.
2/3dx / 2x/3=10/9 / 2x/3
d=5/3x
I need help and please show work
Answer:
WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a ...
Step-by-step explanation:
Which graph represents the inequality x>6
Answer:
Step-by-step explanation:
Answer:
D
Step-by-step explanation: