Answer:
The perimeter would be 6x + 12
Step-by-step explanation:
The perimeter of a triangle is the sum of all its sides.
The measures of the sides of the given triangle are:-
3x + 2, x + 6 and 2x + 4
So, to find perimeter add these values together:-
3x + 2 + x + 6 + 2x + 4
Bring all the 'x' terms together first and then the other numbers so we can add them:-
3x + 2x + x + 2 + 6 + 4
6x + 12
The perimeter of the triangle would be 6x + 12AB = [tex]x[/tex] + 6
BC = 2 [tex]x[/tex] + 4
AC = 3 [tex]x[/tex] + 2
To find:-The perimeter of the triangle.
Solution:-[tex]{\boxed{\mathcal{\red{The\: perimeter \:of\:the\:triangle\:is\: 6x\:+\:12.\:✅}}}}[/tex]
Step-by-step explanation:-We know that,
[tex]\sf\pink{Perimeter\:of\:a\:triangle\:=\:Sum\: of\: all \:three\: sides}[/tex]
[tex] = AB + BC + AC \\ = x + 6 + 2x + 4 + 3x + 2 \\ = 6x + 12[/tex]
[tex]\sf\red{Therefore, \:the\: perimeter\:of \:the\:triangle\: is \:6x\:+\:12.}[/tex]
[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]
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Answer:
c
Step-by-step explanation:
Answer:
D, a sentence that includes only one independent clause
Step-by-step explanation:
A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.
This isn't a math question but idrc
In a group of 20 students there are 11 girls what is the ratio of boys to girls
Answer:
9:11
Step-by-step explanation:
subtract the amount of girls to get the amount of boys then put it in ratio form in the order it is asked so it is 9:11
Chord \displaystyle \overline{AB} AB is 12 inches from center \displaystyle OO. If the radius has a length of \displaystyle 1515 inches, find the length of chord \displaystyle \overline{AB} AB .
Answer:
18 inches
Step-by-step explanation:
Given
[tex]r = 15in[/tex] --- radius
[tex]h = 12in[/tex] --- distance between chord and the center of the circle
Required
The chord length
See attachment for illustration
First, calculate distance AX using Pythagoras theorem.
[tex]AO^2 = AX^2 + OX^2[/tex]
This gives:
[tex]15^2 = AX^2 + 12^2[/tex]
[tex]225 = AX^2 + 144[/tex]
Collect like terms
[tex]AX^2 = 225 - 144[/tex]
[tex]AX^2 = 81[/tex]
Take square roots of both sides
[tex]AX = 9[/tex]
AB is then calculated as:
[tex]AB= AX + XB[/tex]
Where:
[tex]AX=XB =9[/tex]
So:
[tex]AB = 9 + 9[/tex]
[tex]AB = 18[/tex]
Annora bought a box of cookies that matches the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number, round to the nearest tenth. Help pls
Please help quickly !!
Since these are right triangles, we can use Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
50^2 + 20^2 = c^2
2500 + 400 = c^2
2900 = c^2
c = sqrt[ 100 * 29]
c = 10 sqrt[29]
In the boxes, a = 10, b = 29.
Hope this helps!! :)
Please help and show the formula used, along with all substitutions and calculations needed
Answer:
The given triangle is right.
Step-by-step explanation:
The Pythagorean converse theorem states the following: if one can substitute the sides of a triangle into the following formula:
[tex]a^2+b^2=c^2[/tex]
If the equation formed is a true statement, then the triangle is right, if it is not, then the triangle is not right. In this case, one is not given the angle that has the right angle, however, the hypotenuse is the longest side in a right triangle. Therefore, if the triangle is right, then the hypotenuse is the longest, then side (c) is the longest side in the given triangle. Then side (a) and (b) are the legs, the sides adjacent to the right angle. It doesn't matter which sides one substitutes for these parameters.
Substitute in the given values and solve to prove the triangle is right,
[tex]a^2+b^2=c^2\\[/tex]
Substitute,
[tex](9.6)^2+(12.8)^2=(16)^2[/tex]
Simplify,
[tex]92.16+163.84=256[/tex]
[tex]256=256[/tex]
The given triangle is right since its sides follow the Pythagorean converse theorem.
How long is a pencil the nearest inch and to the nearest centimeters?
Answer:
A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.
The question says to the nearest inch. Therefore we have to approximate to to a whole number.
7.5, when rounded up to the nearest number, is 8 inches.
Hence, the answer is 8 inches or 19 centinmeters.
Cheers
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
Someone please help me thank you
Answer:
[tex]y=-\frac{1}{3}x+-7[/tex]
Step-by-step explanation:
The graph shows a negative slope with 3 units in between each point.
Every 3 x-units, the y-unit goes up once.
What's the solution to 3x – 6 < 3x + 13? A) x > 5 B) All real numbers C) There are no solutions. D) x < –5
Answer:
C) there are no solutions
Step-by-step explanation:
3x-6<3x+13
3x<3x+19
0<19
How long an umbrella will fit in the bottom of a suitcase 1.5 feet by 2.5 feet
Answer:
pointing towards the top
Step-by-step explanation:
1.5 feet long 2.5 feet wide the suitcase is so straight
HOPE OT HELPS
Harry buys a waffle maker priced at $48. If the sales tax is 9%, how much tax will Harry pay?
Answer:
2325
Step-by-step explanation:
Kkkkkkkkjajahaaj
Find the values of x and y in the picture. Express answers in simplest radical form. (square root from)
Answer:
[tex]x = \frac{12}{ \tan(60 \degree) } \\ x = \frac{12}{ \sqrt{3} } \\ x = 4 \sqrt{3} \: cm[/tex]
[tex]y = \frac{12}{ \sin (60 \degree) } \\ y = \frac{12 \times 2}{ \sqrt{3} } \\ y = \frac{24}{ \sqrt{3} } \\ y = 8 \sqrt{3} \: cm[/tex]
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Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
Learn more about continuous compounding interest here:
https://brainly.com/question/28004698
https://brainly.com/question/27355680
If the area of the parallelogram ABCD is 570 square meters, find the height.
Answer:
Height of parallelogram = 30 meter
Step-by-step explanation:
Given:
Area of parallelogram = 570 square meters
Find:
Height of parallelogram
Computation:
Base of parallelogram = 19 meter
Area of parallelogram = Base of parallelogram x Height of parallelogram
570 = 19 x Height of parallelogram
Height of parallelogram = 570 / 19
Height of parallelogram = 30 meter
Helllllllloooppppppp pls . *
Answer:
It's 46
Step-by-step explanation:
Because 90-44 it's 46
I need help on this. it would really help me alot
Answer:
23.31 ft
Step-by-step explanation:
Tan y= opposite÷adjacent
tan 47= 25÷ x
tan 47 • x = 25
x= 25÷ tan 47
x= 23.31 ft
HOPE THIS HELPS!
I need please it would really help me alot !!
no link or zooms
Answer:
18.266
Step-by-step explanation:
let me know if you can help
Answer:
You S,tupid
Step-by-step explanation:
PLS HELP I NEED THIS DONE ASAP AND IT IWLL MEAN ALOT AND ILL MAKRK U AS BRAINLIST ITS 6TH GRADE GEOGRAPHY
Answer:
The area of the shaded polygon is 31 square units.
Step-by-step explanation:
The procedure to calculate the area of the shaded irregular polygon is described below:
1) Calculate the area of the initial rectangle.
2) Calculate the areas of the four triangles.
3) Subtract the areas of the four triangles from the initial triangle.
[tex]A = (9)\cdot (6) - \frac{1}{2}\cdot (4)^{2} - \frac{1}{2}\cdot (5)\cdot (2) - \frac{1}{2}\cdot (2)^{2} - \frac{1}{2}\cdot (4)^{2}[/tex]
[tex]A = 31[/tex]
The area of the shaded polygon is 31 square units.
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Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
Which illustration predicts the effects of rotating the given triangle 75 degrees about R counterclockwise?
Answer:
Option B is correct
Step-by-step explanation:
The triangle if rotated by 75 degrees in the counter clock wise direction will have C vertices in the second quadrant , A vertices also in the second quadrant and B vertices in the third quadrant.
Hence, option B is correct
A retail shop is replacing their flooring with laminate wood. The floor plan is shown below. Determine the total square feet of laminate wood needed to complete the job.
===========================================================
Explanation:
As shown in the diagram below, I've drawn a blue horizontal line to split the figure into two rectangles (smaller one up top, larger down below).
The smaller rectangle up top is 25 ft by 8 ft, giving an area of 25*8 = 200 sq ft.
The larger rectangle down below is 35 ft by 25 ft so we have an area of 35*25 = 875 sq ft.
The total area is 200+875 = 1075 square feet
Notes:
We can write "square feet" as "sq ft" or as "ft^2" without quotes.The portion "5 ft", in the upper left corner, is never used.Lily has 642 stamps in total. She has 54 US stamps than foreign stamps. How many does she have each
Answer:
answer in photo
hope this helps :)
Step-by-step explanation:
Answer:
348 US and 294 Foreign
Step-by-step explanation:
642 - 54 = 588
588 /2= 294
294+54=348
differentiation of 1 by root x
Answer:
Here is Your answer!!!!
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find the range of X
Answer:
Step-by-step explanation:
Numbers that is less than 5 like 4,3,2,1,0
Answer:
1>x>-2 or -2<x<1
Step-by-step explanation:
2<3-x<5 (minus 3)
-1<-x<2 (devide by -1)
1>x>-2
Mike borrowed a sum of rs 9450 for 5 years at a rate of 6% per year. calculate the total amount that he had to pay.
A =?
P= 9456
r = 6% = 0.06
t = 5 yrs
Formula
A= P(1+r)^t
A= 9456×1.06⁵
A = 12646.23
the total amount that he had to pay was 12646 rs
Problem 7.1 (10 points) Let pXnqn"0,1,... be a Markov chain with state space S " t1, 2, 3u and transition probability matrix P " ¨ ˝ 0.5 0.4 0.1 0.3 0.4 0.3 0.2 0.3 0.5 ˛ ‚. (a) Compute the stationary distribution π. (b) Is the stationary distribution π also the limiting distribution? Give a reason for your answer.
Answer:
The responses to the given can be defined as follows:
Step-by-step explanation:
For point a:
fixing probability vector that is [tex]W = [a b c][/tex]
[tex]\therefore[/tex]
relation: [tex]WT =W[/tex]
[tex]\to 0.5a+0.3b+0.2c=a ..................(1)\\\\ \to 0.4a+0.4b+0.3c=b..............(2)\\\\ \to 0.1a+0.3b+0.5c=c.................(3)[/tex]
solving the value:
[tex]a=0.3387 \\\\ b=0.3710\\\\ c=0.2903[/tex]
Therefore the stationary distribution [tex]\pi =[0.3387 \ 0.3710\ 0.2903][/tex]
For point b:
[tex]\pi[/tex] will be limiting distribution if [tex]\pi_j=\lin_{n\to \infity} (X_n=\frac{j}{X_0}=i) \Sigma_{\sqrt{j}} n_j=1[/tex]
[tex]\pi[/tex] satisfies the above condition so, it is limiting the distribution.
Dominic says the approximate volume
of the sphere below is 85.33 cm3.
Find the correct approximate volume,
using 3.14 for p. Round to the nearest
hundredth. What was Dominic’s
likely error? (The radius is 4.)
Answer:
V = 267.95 cm^3
Dominic forgot to multiply by the approximation for pi
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 ( 3.14) (4)^3
V = 267.946666666
Rounding to the nearest hundredth
V = 267.95 cm^3
If you do not multiply by the approximation for pi
V = 85.3333333pi cm^3
Dominic forgot to multiply by the approximation for pi
Ani was told to write the number four and eight hundredths. She wrote 4.8. Was Ani correct or incorrect