Answer:
The perimeter of the triangle can be expressed as 5x + 18.
Step-by-step explanation:
Perimeter of an object is the sum of the length of its sides.
For the required triangle, we have;
length of the base = x
length of the second side = 3x + 9
length of the third side = x + 9
Perimeter of the triangle = length of the base + length of the second side + length of the third side
= x + (3x + 9) + (x + 9)
= x + 3x + 9 + x + 9
= 5x + 18
The perimeter of the triangle can be expressed as 5x + 18.
I don’t know how to do these I need help
k = 15 is the answer!!!!!!
(Help please) Find both the perimeter and the area of the following rectangle
2x+3
X+6
Perimeter:_____
Area:____
Given:
Length of a rectangle = (2x+3) units
Width of the rectangle = (x+6) units
To find:
The perimeter and the area of the rectangle.
Solution:
We know that, the perimeter of the rectangle is
[tex]Perimeter=2(Length+Width)[/tex]
[tex]Perimeter=2((2x+3)+(x+6))[/tex]
[tex]Perimeter=2(3x+9)[/tex]
[tex]Perimeter=6x+18[/tex]
The area of rectangle is
[tex]Area=Length\times width[/tex]
[tex]Area=(2x+3)\times (x+6)[/tex]
[tex]Area=2x^2+12x+3x+18[/tex]
[tex]Area=2x^2+15x+18[/tex]
Therefore, [tex]Perimeter=6x+18[/tex] and [tex]Area=2x^2+15x+18[/tex].
The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answer:
300
Step-by-step explanation:
(75*4)/1
Help me pleaseeeee I need this quick
Answer:
Step-by-step explanation:
Multiply?
pls help i don’t understand!
You may need to input the number only without the "degrees".
=============================================================
Explanation:
First we'll focus on triangle DEH. Ignore the other points and values.
We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.
cos(angle) = adjacent/hypotenuse
cos(H) = EH/DH
cos(x) = 32/49
x = arccos(32/49)
x = 49.227195
The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.
We'll come back to this value later.
---------------------
Now focus on triangle HFG. Ignore the other points.
We have the sides of FG = 38 and GH = 43
Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.
To find y, we'll need the sine rule this time
sin(angle) = opposite/hypotenuse
sin(H) = FG/GH
sin(y) = 38/43
y = arcsin(38/43)
y = 62.094527 which is approximate to 6 decimal places
---------------------
The last step is to add the values of x and y we found earlier
angle DHG = (angle DHE) + (angle FHG)
angle DHG = (x) + (y)
angle DHG = (49.227195) + (62.094527)
angle DHG = 111.321722
angle DHG = 111 degrees after rounding to the nearest whole degree.
----------------------
If you wanted to do this all in one step, you could say:
arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.
find the measure of angle STP
lillian works 7 hours each day for 5 days a week. she earns £420 each week. how much does she earn per hour?
need ASAP I will mark beainlist for correct t answer
Answer:
Lillian gets paid $12 an hour.
Step-by-step explanation:
I multiplied 7 times 5, which gives you 35. The you divide 420 by 35, which then gives you 12 dollars
please help me !!! i'll give brainliest
Answer:
a. root (x^2 + 64)
Step-by-step explanation:
(8^2 + x^2) = y^2
If you root both sides,
y = root (x^2 + 64)
Permutations
How many different six-letter words can be formed from the word SCHOOL?
Answer:
Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil
Explicacion:listo :)
Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1999.85
Step-by-step explanation:
A = P(1 + rt)
Where:
A = Amount after t years
P = Initial amount invested = £1850
r = Interest rate = 2.7%
t = Time in years = 3 years
Calculation:
First, converting R percent to r a decimal
r = R/100 = 2.7%/100 = 0.027 per year.
Solving our equation:
A = £1850(1 + (0.027 × 3))
A = £1999.85
Therefore, Brian will have £1999.85 after 3 years.
round 6,577 the nearest thousand
Answer: 7,000
Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up
Work out the size of angle x.
105°
to
Answer:
105
Step-by-step explanation:
cuz it is corresponding angle
For your batch of cookies, you'll need 2 cups of chocolate chips for every 5 cups of cookie dough mix. You have 30 cups of cookie dough mix, how many cups of chocolate chips?
2/5=x/30 so first one times by 6 and to get 12
I want to take the measurements of my 5 avocado trees and order their
heights from shortest to tallest, that way they can get enough sunlight to
continue growing. I have to worry about sea level, so those above sea
level get sunlight more easily (positive is above sea level, negative is
below sea level). The 5 heights are in feet: 6,-3, 2,-8,-6. Please help me
order them from shortest to tallest so I plant them in the right order to get
enough sunlight.
Answer:
If we are saying everyhing above sea level is taller then plants under sea level. Then here is the order
Step-by-step explanation:
-8, -6, -3, 2, 6
And just in case it's above sea level the shortest then 6, 2, -3, -6, -8
I will go down on you at this point
WILL MARK BRAINLIEST IF RIGHT DONT ANSWER IF U DONT KNOWWWW
Answer:
ASA
Step-by-step explanation:
Angles WXV and ZXY were proven congruent.
Angles W and Y were proven congruent.
Sides WX and XY were proven congruent.
1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet
Answer:
80 square feet
Step-by-step explanation:
I hope this helps a little bit.
Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?
Answer:
12 months
Step-by-step explanation:
2150-350=1800
1800÷150=12
someone please help me with this problem
Answer:
x=45
y=135
z=45
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
what can you conclude about the rain and the students commute on the bus and train?
Kelly has a rectangular fish aquarium that
measures 18 inches, 8 inches wide and 12 inches
tall. How much water does the aquarium can
hold?
Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.
Answer:
[tex]1\%[/tex]
Step-by-step explanation:
Simple interest (I) = $160
Principal amount (P) = $2000
Time period (t) = 8 months
Let R denotes rate of interest.
Relation between simple interest, principal amount, time and rate of interest is given by [tex]I=\frac{PRT}{100}[/tex]
[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]
Answer:
12
Step-by-step explanation:
It would be: r = I * 100 / P * R
r = 160.67 * 100 / 2000 * 2/3
r = 16067*3 / 4000
r = 48201 / 4000
r = 12
evaluate functions from their graph g(7)
Answer:
Evaluate functions from their graph g(7)= 4
Step-by-step explanation:
If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.
We should look for the point on the graph whose x-coordinate is 7.
The point on the graph whose xxx-coordinate is 7 is the point (7,4)
Therefore, g(7)=4.
What is 15% of a restaurant check for $46.72? Round your answer to the nearest hundredth, if necessary.
Answer:
$7.01
Step-by-step explanation:
46.72 * 0.15 = 7.008
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]
If the scale factor is 5/3 what is the width of the new rectangle?
Answer:
If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
Step-by-step explanation:
We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50
42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58
Answer:
Your answer is D. 58
Step-by-step explanation:
x= [tex]\sqrt{(42^2+40^2)}[/tex]
2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?
Answer:
A. 2a+6
Step-by-step explanation:
I did the test and this is what I got.