Answer:
AC=11.38 cm
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
The figure shows two triangles and we are required to calculate the length of the side AC, knowing two sides and the angle between them. Thus, applying the formula:
[tex]AC^2=17^2+13^2-2*17*13*\cos42^\circ[/tex]
[tex]AC^2=289+169-442*0.7431[/tex]
[tex]AC^2=129.53[/tex]
[tex]AC=\sqrt{129.53}[/tex]
AC=11.38 cm
Triangle ABC is similar to triangle DEF
Answer:
A my dude. good luck!!!!!
Answer:
A
Step-by-step explanation:
AC = 5
DF = 15
5 x 3 = 15
BC = 3
EF = 9
3 x 3 = 9
Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:
[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex] and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]
and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]
Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?
Answer:
The width of the lid is 15 cm
Step-by-step explanation:
The Perimeter of a Rectangle
Given a rectangle of width W and height H, the perimeter is calculated as:
P = 2(W + L)
Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:
2(W + L) = 56
Dividing by 2:
W + L = 28
Since the lid was L=13 cm long, the width is:
W = 28 - 13 = 15
The width of the lid is 15 cm
I will give brainliest to the correct answer!
In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?
a. 1/6
b. 6/19
c. 4/19
d. 2/9
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
Find the missing length marked with a question mark.
UVW-USR
Given:
[tex]\Delta UVW\sim \Delta USR[/tex]
To find:
The missing length marked with a question mark.
Solution:
Let x be the missing value.
We have,
[tex]\Delta UVW\sim \Delta USR[/tex]
Corresponding sides of similar triangles are proportional, so
[tex]\dfrac{UV}{US}=\dfrac{VW}{SR}=\dfrac{UW}{UR}[/tex]
Using this, we get
[tex]\dfrac{UV}{US}=\dfrac{UW}{UR}[/tex]
On substituting the values, we get
[tex]\dfrac{70}{x}=\dfrac{55}{44}[/tex]
[tex]\dfrac{70}{x}=\dfrac{5}{4}[/tex]
On cross multiplication, we get
[tex]70\times 4=5\times x[/tex]
[tex]280=5x[/tex]
[tex]\dfrac{280}{5}=x[/tex]
[tex]56=x[/tex]
Therefore, the missing length is 56 units.
pleaseee help meee will give brainliest or whateva
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
A property dealer charges a commission of 2% on the first 25000 and 1.5 % on the remainder. What commission does he charge for selling a plot of land of 130000
Answer:
$2075
Step-by-step explanation:
commission = 0.02 x $25,000 = $500
The remainder = $130,000 - $25,000 = $105,000
Commission on the remainder = 0.015 x $105,000 = $1,575
Total commission = $1,575 + $500 = $2075
Plz help !!!!!!!!!!!!!!!!!!
Answer:
i am sorry i do not understand ill try to look harder ill keep u updated
Step-by-step explanation:
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
Pleaseee help mee I will appreciate it
Answer:
Read explanation!
Step-by-step explanation:
A = $0.89
B = $0.92
C = $0.94
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?
Answer:
Rewrite (Lambert form):
[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]
Simplify :
[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]
Solve:
[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]
Result:
[tex]x=2,\:x=1[/tex]
Hope this helped u :)
If this was too complicated I can edit it for you.
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
Solve for x in the literal equation −4 = xy + z.
Answer:
x = (-4 - z)/y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-4 = xy + z
Step 2: Solve for x
Subtract z on both sides: -4 - z = xyDivide y on both sides: (-4 - z)/y = xRewrite: x = (-4 - z)/yWill give brainliest
In terms of x, find an expression that represent the area of the shaded region . The outer square has side lengths of x+5 and the inner square has side lengths of x-2 .
*image*
Area: ______ square units
Answer:
the expression to find the shaded region : 14x+21
Step-by-step explanation:
(x+5)² - (x-2)² solve by distribution
7(2x+3)
14x+21
Answer:
14x+21
Step-by-step explanation:
(x+5)² - (x-2)²
7(2x+3)
14x+21
Which spinner could not be used to simulate a baby being born male or female. a spinner 2 equal section. A spinner with 3 equal sections. a spinner with 6 equal sections. A spinner with 10 equal sections
Answer:
C spinner with 7 equal sides
Step-by-step explanation:
12y - 4 what is answer
Answer: 4(3y−1)
Step-by-step explanation:
Answer:
4(3y - 1)
Step-by-step explanation:
To factor this find the greatest common factor of 12y and -4, which would just be 4.
Then, you have 4(3y - 1)
help me read the instructions answer number 2 help me
Answer:
3. See explanation
2. [tex]\displaystyle Yes[/tex]
1. [tex]\displaystyle [2, 1][/tex]
Step-by-step explanation:
3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.
2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.
1. See above imagery
I am joyous to assist you at any time.
Find the volume of a cylinder with a radius of 3 inches and a height of 2
Answer:
56.55m³
Step-by-step explanation:
use a calculator, not brainly
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
5(14 – 39 ÷ 3) + 4 •
Answer:
9
Step-by-step explanation:
Answer:9
Step-by-step explanation:
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
Find the product
(4)(-11) =
Answer:
4 X -11
-44
plz mark as brainliest
Answer:
-44
Step-by-step explanation:
Basically It's like 4x11, but you put a negative sign.
2x + 7 =30, x = 3 true or false
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
Part A
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the
function V to identify the x-intercepts. List them in order from least to greatest.
Answer:
4321
Step-by-step explanation:
rreer5t66
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
Answer:
The description of the rotation is 180 degrees clockwise or counterclockwise rotation
Step-by-step explanation:
Here, we want to get the kind of rotation that maps the triangle into its new coordinates
we have this as;
(x,y) to (-x, -y)
that will be ;
a 180 degrees rotation or counter clockwise rotation
180 rotation so A
Step-by-step explanation: