Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answer:
d. distributive property
Step-by-step explanation:
Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n
Can somebody solve this question for me it would be so helpful I will give brainliest first it needs to be rounded to the nearest 10th
Answer:
F. 824.8 ft³
Step-by-step explanation:
To find the volume of a cube, you want to multiply the length by width by height.
l = 8.2
w = 9.4
h = 10.7
l • w • h
8.2 • 9.4 • 10.7
= 824.756
Round to the nearest tenth.
824.8 ft³
Hope this helps!
HELP what's the distance for this question?
Answer:
[tex]Distance = 38.57ft[/tex]
Step-by-step explanation:
Given
[tex]Base = 60[/tex]
[tex]\theta = 50[/tex]
Required
The distance between the top and John
The distance is calculated using:
[tex]sin\alpha = \frac{Distance}{Base}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 50[/tex]
[tex]\alpha = 40[/tex]
So, we have:
[tex]Sin(40) = \frac{Distance}{60}[/tex]
[tex]Distance = 60 * sin(40)[/tex]
[tex]Distance = 60 * 0.6428[/tex]
[tex]Distance = 38.57ft[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
I got 49 will someone double check me please?!
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answer:
true
Step-by-step explanation:
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
Tina bought 3.2 pounds of grapes. The grapes cost $1.45 per pound. How much did she pay for the grapes?
Answer:
4.64
Step-by-step explanation:
If you do 20% of 1.45, you would get 0.29, add that by 1.45 plus 1.45 plus 1.45, and you get 4.64. Hope this helps!
Answer:
$4.64
Step-by-step explanation:
3 x 1.45 = 4.35
1.45 x .2 = .29
4.35 +.29 = 4.64
Please help me answer this
9514 1404 393
Answer:
a) zeros: -2/3, 6
b) x < -2/3, signs: -, -; sign of product: +
-2/3 < x < 6, signs: +, -; sign of product: -
x > 6, signs: + +; sign of product: +
c) solution: x < -2/3 ∪ x > 6
Step-by-step explanation:
a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)
3x +2 = 0 ⇒ x = -2/3
x -6 = 0 ⇒ x = 6
The zeros of the quadratic are x = -2/3 and x = 6.
__
b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.
__
c) The solution is where the signs of the factors match:
x < -2/3 or -6 < x
20 = 2(n – 3) solve.
In a lab experiment, 130 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 8 hours. How many bacteria
would there be after 21 hours, to the nearest whole number?
Answer:
y = 802
Step-by-step explanation:
a line has a slope of -3 and a y-intercept of 5. write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation?
Answer:
y = -3x + 5
Step-by-step explanation:
Since the y-intercept occurs at the point (0,5), you can use that and the point slope equation to find the equation.
This looks like y - 5 = -3 (x - 0);
Solving for y, you get y = -3x + 5;
To graph this equation you would put one point at (0,5), then use the slope to count down three and to the left one to find other points, or you could just plug in numbers for x to find their corresponding y values and plot it like that.
Hopefully this helps- let me know if you have any questions!
which expression equals the sum 1+2+3+4+5+6..
Answer:
7 * 3
7+7+7
3+3+3+3+3+3+3
2+2+2+2+2+2+2+2+2+2+1
(2*10)+1
(10*1)+11....
...and so on
Step-by-step explanation:
I don't know what type of expression you are looking for
What is 12 1/2 - 7 6/7?
Answer:
4 9/14
Step-by-step explanation:
Answer:
The answer is 4 9/14
james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide
answer:
he would use 3 cups of sugar and would need to multiply
step-by-step explanation:
since he only wants 1/2, we would multiply by the original amount6 X 1/2 = 3 cups of sugar
Will mark Brainliest! What is the value of P. Thank you!
Answer:
question of number 10 is 3
What is sinK?
A. 12/13
B.13/12
C.5/13
D.5/12
Answer:
A. 12/13
Step-by-step explanation:
Remember SOH, CAH, TOA.
In this situation, the function is sine so sine= opposite/hypotenuse.
The side opposite of K is 12.
The hypotenuse is the longest side so it will be 13.
Therefore, sineK= 12/13(a)
Answer:
12/13
Step-by-step explanation:
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
WILL GIVE BRAINYEST!!! PLS HELP!!!
Mr. Hudson walked 12 miles in 3 hours. At this rate,
how far will he walk in 5 hours? Write your answer in
a complete sentence AND show your work.
Kevin correctly answered 75% of 32 test questions. How many questions did Kevin answer correctly? How many more questions would Kevin have had to answer correctly to get more than 80% correct?
Answer:
At least 26 questions to get around an 82% not 25 because that equals 78%
Step-by-step explanation:
Answer:
Kevin answered 24 questions correctly.
Kevin would have to answer 25.6 questions correctly to get more than 80%.
PLS HELP
i said 45 but it was marked incorrect, im super confused
Answer:
60
Step-by-step explanation:
trangles always equal 180 degrees on the inside angles
180-75-45 = 60
please help me i really need help please
Answer:
90+42+x = 180
132+x=180
x=180-132
x=48
Answer:
48 DEGREES
Step-by-step explanation:
First you need to find the other two angles : 42 + 90 = 132 ( the 90 comes from the little square like shape on the other angle).
So x = 180 - 132 = 48 ( we use 180 because it is the sum of interior angles of a triangle.
HOPE THIS HELPED
WILL MARK BRANL:IEST NO FAKE ANSWERS I NEED ASAP
Answer:
(-5, 9)
Step-by-step explanation:
6) A packet of 1350 chocolates were distributed among 3 sections A, B, C of class VI in the ratio 6: 5:4. Find each section's share
A)510, 460, 350
B)540, 450, 360
C)520, 440, 335
D)500, 400, 450
Answer:
its a or d
Step-by-step explanation:
a or d but ptibably a
26.) In a midnight sale in a mall, Charice bought a
shirt with 40% discount. How much did she pay if the
original price is Php 200?
A. PhP 80.00
C. PhP 140.00
B. PhP 120.00
D. PhP 160.00
I will give Brainliest
Answer:
B. 120.00
Step-by-step explanation:
200-40%=120
Answer:
the answer is very easy i calculated this so if my calculations are correct it will be PHP 160.00
In isosceles triangle WXY, XY is 13 inches in length and WY is 10 inches. What is the length of XZ? answer asap please
=============================================================
Explanation:
Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.
That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.
We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.
-----------------------------------
Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.
We'll use the pythagorean theorem to find XZ
a^2 + b^2 = c^2
(XZ)^2 + (ZY)^2 = (XY)^2
(XZ)^2 + (5)^2 = (13)^2
(XZ)^2 + 25 = 169
(XZ)^2 = 169-25
(XZ)^2 = 144
XZ = sqrt(144)
XZ = 12
Segment XZ is 12 inches long.
help please i’ll give extra points & brainlist:)!
help me on math pls plss I'm stuck agian:(((((
Answer:
the answer to a is 25, im unsure what B is.
Step-by-step explanation:
hope this helps!!!
Question 60/62 (3.p.)
KAH
ht
w
2011
Solve and choose the correct answer.
A water tank is in the form of a cylinder whose radiusis 2 m and length is
3.5 m. The quantity of water in litres that can be stored in the tank is
..
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6