Answer:
Step-by-step explanation:
The perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units
How to determine the perimeter?The coordinates are given as:
(−4,4), (−4,1), and (−8,−4).
Calculate the distance between the vertices using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-4 + 4)^2 + (4-1)^2} = 3[/tex]
[tex]BC = \sqrt{(-4 + 8)^2 + (1+4)^2} = \sqrt{41[/tex]
[tex]AC = \sqrt{(-4 + 8)^2 + (4+4)^2} = \sqrt{80[/tex]
The perimeter is the sum of the side lengths.
So, we have:
[tex]P = 3 + \sqrt{41} + \sqrt{80}[/tex]
Expand
[tex]P = 3 + \sqrt{41} + 4\sqrt{5}[/tex]
Hence, the perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units
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What is the Lcm of 22 and 33 using prime factorization
My answer would be 66
The LCM of 22 and 33, using prime factorization, is 66.
What is Number system?A number system is defined as a system of writing to express numbers.
We have to find LCM of 22 and 33 using prime factorization
Factor each term into prime factors
22 = 2 x 11
33 = 3 x 11
Identify all of the unique prime factors of these two numbers.
Finally, we can find the LCM by multiplying each of these prime factors raised to their highest power that appears in either of the two factorizations.
LCM(22, 33) = 2x 3 x 11
LCM(22, 33) = 66
Therefore, the LCM of 22 and 33, using prime factorization, is 66.
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An object is moving at a speed of 6 inches every 4.5 days. express this speed in yards per year
Answer:
365/27 yards per year
Step-by-step explanation:
[tex]\frac{6 inches}{4.5 days}[/tex] × [tex]\frac{1 yard}{36 inches}[/tex] ×[tex]\frac{365 days}{1 year}[/tex] = [tex]\frac{(6(365)) yards}{(4.5(36)) year}[/tex] = [tex]\frac{2190 yards}{162 years}[/tex]= 365/27 yards per year
You are rolling artwork to ship so it fits perfectly in a cylindrical shipping tube. The volume of the shipping tube is
169.56 cubic inches. If the radius of the shipping tube is 1.5 inches, what is the maximum height of the artwork you
can ship and what formula can you use to calculate this height?
O 6 inches; height =
volume
3.14 x (radius)?
O 18 inches; height:
volume
3.14 x radius
O 24 inches, height
volume
3.14 x (radius)2
36 inches; height
volume
3.14 x radius
O 54 inches; height
volume
3.14
The volume of a cylinder is found by using the formula V = pi x r^2 x h where r is the radius and h is the height.
Using the given volume and radius calculate the height:
169.56 = pi x 1.5^2 x h
169.56 = pi x 2.25 x h
169.56 = 7.065 x h
H = 169.56/7.065
H = 24 inches
The answer is the height is 24 inches
Answer:
b
Step-by-step explanation:
Choose the system for the graph
The answer will be A
Help help pelesse please
Answer:
450
Step-by-step explanation:
9×50=450
have a good day
please help w my khan acc
Answer:
y=2x+4
Step-by-step explanation:
When X is at 0 Y is 4 so you add four at the end and then you backtrack it and get 2x+4.
Hope it helps
Are 6/9 and2/3 proportion
Answer:
yes, they are proportional
Step-by-step explanation:
6/9 is just three time as big as 2/3 but they are basically the same fraction
Answer:
Step-by-step explanation:
yes, it is proportional
6/9 = 2/3
18 = 18
What kinds of education did Martin Luther king JR have in high school and college?
Answer ASAP
Step-by-step explanation:
graduated from Booker T. Washington High School and was admitted to Morehouse College at age 15. Graduates from Morehouse college and enters Crozer Theological Seminary.
Examine the following sequence 1, 4, 9, 16, 25.... Why is 36 the next number in the sequence? Because the pattern
is:
a. Add the next even number
Cube the number of the term, n
b. Square the number of the term, n
d. Add 2 + the number of the term, n
C.
Please select the best answer from the choices provided
А
B
ОООО
Save and Exit
Next
Submit
Mark this and return
Answer:
b
Step-by-step explanation:
1,4,9,16,25,36,...
we see every number is square of numbers .
every number can be represented by n²
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
A scale drawing of an office space uses a scale of 1 in : 4 yd. The scale drawing has an area of 12 square inches.The area of the office space is ____ square yards
The scale factor of area of the drawing to the area of the office is the
square of the scale factor of the length of the drawing.
The area of the office space is 192 square yards.Reasons:
The given parameters are;
1 inch in the scale drawing = 4 yd. in actual dimension
4 yd. = 144 inches
Therefore;
1 inch in the scale drawing = 144 inches in actual dimension
The scale factor of length of the drawing, s = 1:144
The scale factor of area = s²
Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =s^2[/tex]Therefore, we have;
[tex]\dfrac{Drawing \ area}{Actual \ area} =\dfrac{12}{A} = s^2 = \left( \dfrac{1}{144} \right)^2[/tex]Where;
A = The actual office space area
There fore;
12 × 144² = A × 1²
A = 12 × 144² = 248,832 in.²
1 yd.² = 1,296 in.²
[tex]248,832 \, in.^2 = \dfrac{248,832}{1,296} \, yd.^2 = 192 \, yd.^2[/tex]The area of the office space is 192 square yards.
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The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?
A)
The ride requires a $14 initial fee, plus 50 cents per mile driven
B
The ride requires a $14 initial fee, plus 51.90 per mile driven
The ride requires a $14 Initial fee, plus 52.15 per mile driven
D
The ride requires a 514 initial fee, plus 52.50 per mile driven
The table is an illustration of a linear function.
The description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
The base fee is the charges, when the number of miles is 0
From the table;
y = $14, when x = 0
So, the base fee is $14
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex]m = \frac{16.5 - 14}{5-0}[/tex]
[tex]m = \frac{2.5}{5}[/tex]
[tex]m = 0.5[/tex]
The above means that:
The cost per mile is $0.5 (i.e. 50 cents)
Hence, the description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
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Find the value of the trigonometric ratio.
Answer:
SOHCAHTOA
cosA= adjacent
hypotunuese
cosA= 30
34
cosA= 30:34
cosA= 15:17
1. Jean bought the new Iphone for $1080 (Tax included) on an installment plan. The installment
agreement included a 10% down payment and 24 monthly payments of $50 each.
a. How much is the down payment?
b.what’s the total amount of the monthly payments?
c.how much did Jean pay for the phone on the installment plan?
d.what is the finance charge (interest)?
Answer:
jndfjhasbfjashdfbasjdfbjashbdcjashdbjcbjhasdcbjasdcbjashdcbjashcdbjadhcbasdhcb
Step-by-step explanation:
Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
Write the equation of a line that goes through the point (2, 4) that is parallel to the
line y = 3x - 6.
Answer:
y = 3x - 2
Step-by-step explanation:
Parallel lines have the same gradient in this case 3 is the gradient.
We will use the point (2,4) to form our own equation.
4 will be y, 3 will be m, 2 will be x
All we need is to find the C in the equation y=mx + c
4 = 3(2) + c
4 = 6 + c
C = -2
Therefore;
y = 3x - 2
helppppp pleaseeee ill literally do anything!!!!!!!!!!!!!!!
Answer:
33ft^2
Explanation:
surface area of square pyramid equation: [tex]A = a^2 + 2a\sqrt{\frac{a^2}{4} +h}[/tex]
A = 34.63, so none of the answers shown are really it.
The value of an asset, currently priced at $100 000, is expected to increase by 20% a
year.
(a) Find its value in 10 years’ time.
(b) After how many years will it be worth $1 million?
Answer:
A) it will become 300,000 in the next 10 years.
4. 3/16. × 7 12/32.
Answer:
1 49/128
Step-by-step explanation:
3/16. × 7 12/32
3/16 * 236/32
177/128
1 49/128
5 by 8 of the children in the field are girls. There are 45 boys. How many girls are there?
Answer:
5+8 = 13
5:8
Girls
8÷5 × 45
== 28
hope it helped
Answer:
75 girls
Step-by-step explanation:
[tex]\dfrac{5}{8} \ are\ girls[/tex]
[tex]\dfrac{8-5}{8}=\dfrac{3}{8} \ are \ boys[/tex]
Let the total children = x
[tex]\dfrac{3}{8} \ of \ x = 45\\\\\dfrac{3}{8}*x = 45\\\\x =45*\dfrac{8}{3}= 15 * 8\\[/tex]
x = 120 children
Number of girls = 120 - 45 = 75
Pa help pleas ineed po
Answer:
As shown in the attachment,
Step-by-step explanation:
refer to the attachment
Elisa owns 28% of the Grudman Corporation. The rest of the shares are owned equally by the remaining six shareholders. What percent of the corporation does each of the other shareholders own?
Answer:
12%
Step-by-step explanation:
each shares 12% because 100-28=72
72÷6=12%
Prove the polynomial identity.
(4x^2−2)^2−(4x^2)^2=4(1−2x)(1+2x)
Drag and drop the lines of the proof in the correct order to complete the proof.
Answer:
(4x^2 - 2)^2 - (4x^2)^2 = 4(1 - 2x)(1 + 2x)
16x^4 - 16x^2 + 4 - 16x^4 = 4(1 - 2x)(1 + 2x)
4 - 16x^2 = 4(1 - 2x)(1 + 2x)
4(1 - 4x^2) = 4(1 - 2x)(1 + 2x)
4(1 - 2x^2)(1 + 2x) = 4(1 - 2x)(1 + 2x)
Rewrite 4^-9 using a positive exponent.
Step-by-step explanation:
using a positive exponent
4^-9 = 1/ 4^9
__________
[tex] \: [/tex]
[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]
Step by step :[tex] {4}^{ - 9} = ...[/tex]
[tex] \longmapsto \frac{1}{ {4}^{9} } [/tex]
[tex] \longmapsto \frac{1}{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4} [/tex]
[tex] \longmapsto \blue{ \frac{1}{262.144}} [/tex]
answer please. bots will obvious be deleted
Answer:
A right triangle needs to have all the sides of the same length. Since this obviously does not, it is not a right triangle. Infact, this is a scalene triangle because all of its sides are unequal.
(-11[(3-25 divided by |-2|+5]
Answer:
(-11[2-25/ l-2l + 5]
(11[2-25/2+5]
(11[23/7]
11(3.28571428571)
36.1428571429
Between P.M. and A.M., the water level in a swimming pool decreased by 12/25 inches
. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
12/25
Step-by-step explanation:
How to convert the mixed number to a fraction
6 and 1 over 7?
Answer:
43/7
Step-by-step explanation:
6 1/7
First, you need to multiply 6 by 7, then add 1
43/7
Answer:
[tex]\frac{43}{7}[/tex]
Step-by-step explanation:
6 x 7 + 1
there is 6 whole fractions so it would be [tex]\frac{7}{7}[/tex] 6 times then add the [tex]\frac{1}{7}[/tex]
which would be [tex]\frac{43}{7}[/tex]
hopefully that made sense!
13. There are 6 times as many dogs as cats. If the total number of dogs
and cats is 21, how many dogs are there?
Answer: The answer you would be looking for is 126.
Step-by-step explanation:
If theres 21 you are multiplying by 6 and that is 126
Danielle and 8.25% commission on everything she sells at the electronics store where she works. She also earns a base salary of $650 per week. How much did she earn last week if she sold $4,900 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.
Step-by-step explanation:
She earns $1046 that week
show the steps and name the properties you used to solve the equation below
log3=log2-log(3x+7)
Ps. if you just try to get points I will have your answer removed which takes away the points
Answer:
0.477121=−log(3x+7)+0.30103
Step 1: Flip the equation.
−log(3x+7)+0.30103=0.477121
Step 2: Add -0.30103 to both sides.
−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103
−log(3x+7)=0.176091
Step 3: Divide both sides by -1.
log(3x+7)=−0.176091
Step 4: Solve Logarithm.
log(3x+7)=−0.176091
10log(3x+7)=10−0.176091
3x+7=0.666667
3x+7−7=0.666667−7(Subtract 7 from both sides)
3x=−6.333333
3x
3
=
−6.333333
3
(Divide both sides by 3)
x=−2.111111
Step-by-step explanation:hope this helps
