Answer:
AC ≈ 5.5
Step-by-step explanation:
Angle bisector theorem states that "angle bisector of an angle divides the opposite side into two segments which are proportional to the other two sides of the triangle."
By applying this theorem in the given ΔABC,
AD is the angle bisector of ∠CAB which divides the opposite side of the angle into two segments BD and CD.
Therefore, [tex]\frac{AB}{BD}=\frac{AC}{CD}[/tex]
[tex]\frac{5.1}{4}=\frac{AC}{4.3}[/tex]
[tex]AC=\frac{5.1\times 4.3}{4}[/tex]
AC = 5.4825
AC ≈ 5.5 units
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Answer: #444
Step-by-step explanation:
First find the original selling price of the article.
When sold for #372 the profit was 24%. Assume the original price is x.
372 = x + 24% * x
372 = 1.24x
x = 372 / 1.24
= #300
If he wanted to make a profit of 48% he should have sold for:
= Original price + (original price * 48%)
= 300 + (300 * 48%)
= #444
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
PLS HELP !!!!!!!
i rlly need this T__T
Answer:
(3,4) -> (8,3)
(-2,4) -> (3,3)
(-2,5) -> (3,4)
The triangle is translated 5 units to the right and 1 unit down.
Step-by-step explanation:
Add 5 to each x on the (x,y) coordinate and subtract 1 from each y.
Find the distance between the points (-4,9) and (5, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Submit
Answer:
15 unitsStep-by-step explanation:
The formula of a distance between two points:
[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]
We have:
[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]
which of the following are solutions to the equation below
Answer:
B & F
Step-by-step explanation:
(±√14 - 4)/3 =>
(√14 - 4)/3 or (-√14-4)/3
If A and B are mutually exclusive, and if P(A) = 23% and P(B) = 16%, what is P(A or B)?
P(A or B)=[%
Answer:
P(A or B) = 39%
Step-by-step explanation:
If A and B are mutually exclusive, they cannot occur at the same time, therefore their probabilities are added. This means P(A or B) = P(A) + P(B) = 23% + 16% = 39%
The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm
links will get banned
Answer:
22 cm long
eeeeeeeeeeeeeeeeeeeeeeeeeeee
I need this answered quick alot of points on the line here 2 pictures down below
Answer:
1.x=10 and x=−2.
2. the answer is x=7,-1
3.=3, =1
Step-by-step explanation:
1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.
2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.
3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2
Can someone help me with this
Answer:
C
Step-by-step explanation:
1. Absolute values are in the shape of a V, so the answer is automatically C.
2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.
Giving brainlist to whoever answers
Answer:
c
Step-by-step explanation:
Answer:
your answer is option number C 9mm
Jordan scored 19 points during a basketball game. She made a total of 9 baskets.
If Jordan made only one-point free throws and three-point baskets, how many of each did she make?
A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
Answer:
B
Step-by-step explanation:
5x3=15
4x1=4
15+4=19
PLUS a total of 9 baskets.
Therefore, your answer is B
solve for x. enter you answer below as a fraction
Answer:
x=9/80
Step-by-step explanation:
Answer:
9/80
Step-by-step explanation:
[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]
[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]
[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]
[tex]5)\ x = \frac{9}{80}[/tex]
The product of (7x+2) and 20-3x/4
Please help me on this problem
Answer:
1. (7x+2)
2. 2 - 3x/4
Find the area of the regular nonagon
Answer:
267.3
Step-by-step explanation:
area of a regular polygon =
(perimeter * apothem)/2
perimeter: 9 * 6.6 = 59.4
area: 59.4 * 9 = 534.6
534.6/2 = 267.3
area = 267.3
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
Please help
Thanks I really need help and appreciate it
Answer:
umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments
Step-by-step explanation:
have a good rest of your day tho :) ❤
math question 30 points if you answer
Answer:
Step-by-step explanation:
h(t) = - 16t² + 22t + 6
h = 13.5625 ft
Help meeeeeeeeeeeeee
Answer:
36.87( round if needed(
Step-by-step explanation:
we know a side adjacent to the angle and opposite of the angle so we apply tangent function
[tex] \tan(x) = \frac{3}{4} [/tex]
[tex] \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87[/tex]
Round if neededd
The quadrilateral shown is a rectangle. What is measure zvw
Answer:
measure of zvm is 119°
Step-by-step explanation:
xvw+zvw=180°{straight angle}zvm=180-61=119°stay safe healthy and happy.A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
Answer:
look at the picture i sent......
Solve by using substitution.
=3−8
=−4
Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
The scale shown is not balanced.
Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.
HELP PLEASEEEEE
Answer:
1 (100block)
5 (10block)
3 (1block)
Step-by-step explanation:
221-68=153
1x100=100
5x10=50
3x1=3
The amount that x = 53 needs to be to balance the scale.
What is an equation?The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.
We have an equation,
221 = x + 68
x = 221 - 68
x = 153
In 153,
1 is in place of hundred 100, 5 is in the place of 10 so, 50.
Therefore, x = 53 is the amount that needs to be to balance the scale.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days
Answer:
beau completed 2/5 of his science project on Friday
beau completed 1/3 of his science project on Friday
Now
he completed during these two days=1/3+2/5=11/15 part of his project
b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).
Answer:
ratio 80:250
Step-by-step explanation:
there will be less people than babies
for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today
Answer:
WHAT!? THEY BOTH GOT BANNED?! HOW
Obtuse can have right angles.
True or False
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up
against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)
Answer:
Step-by-step explanation:
P = 2b + a = 100
A = b * a
a = 100 - 2b
A = b(100 - 2b) = 100b - 2b^2
dA/db = 100 - 4b
100 - 4b = 0
b = 25
a = 50
slove the system of substitution
y=x-8
y=2x-4
Answer:
x + y = 4 , x − y = 2
x + 2 y = 4 , x − y = − 3
x 2 − y = 2 , 2 x − y = − 1
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
x-8=2x-4
+8 +8
---------------
x=2x+4
-2 -2
-----------
-x=4
-1 -1
----------
x=-4