The perimeter of a shape is the sum of its side lengths.
Joshua miscalculated the third length of the triangle
First, we calculate the third length (x) of the triangle.
Because the triangle is right-angled, we can make use of Pythagoras.
So we have:
[tex]x^2 = 7^2 + 7^2[/tex]
[tex]x^2 = 2(7^2)[/tex]
Take square roots of both sides
[tex]x = \sqrt{2(7^2)[/tex]
[tex]x = 7\sqrt{2[/tex]
The other shape in the figure is a square.
So, the perimeter (P) is
[tex]P = 7 + x + x + x + 7[/tex] ---- i.e. the sum of the visible lengths
So, we have:
[tex]P = 7 + 7\sqrt2 + 7\sqrt2 + 7\sqrt2+ 7[/tex]
Evaluate like terms:
[tex]P = 14 + 21\sqrt2[/tex]
Hence, Joshua's error is that:
He miscalculated the third length of the triangle
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if f (x)=4x+1 and g(x)=x+3 find (g. g) (7)
Which fractions are equivalent to
62/10
Answer:
31/5
Step-by-step explanation:
Divide both the numerator and denominator by 2.
write at least 5 arithmetic sequence and determine the common difference
An arithmetic sequence is a sequence where we use addition or subtraction to get to the next term.
Examples:
1, 3, 5, 7, 9...
Common Difference: Add 2
2, 6, 10, 14, 18, 22..
Common Difference: Add 4
100, 90, 80, 70, 60, 50..
Common Difference: Subtract 10.
25, 30, 35, 40, 45..
Common Difference: Add 5
1, 10, 19, 28, 37..
Common Difference: Add 9
Hope it helps!
[tex]ANSWERED:\\GraceRosalia[/tex]
Solve m=t/f-w for f........
Answer:
f = t/m
Step-by-step explanation:
If m∠10 = 70, then find the m∠14 and state the angle relationship.
The measure of m∠14 is 110 degrees and the angle relationship is a supplementary angles
Let us assume that angle m∠10 and m∠14 are supplementary, this means that the sum of both angles will be 180 degrees.
Since the angles are supplementary, hence the required expression will be:
m∠10 + m∠14 = 180
Given that m∠10 = 70 degrees
70 + m∠14 = 180
m∠14 = 180 - 70
m∠14 = 110 degrees
Hence the measure of m∠14 is 110 degrees and the angle relationship is a supplementary angle.
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Need help with this math question
Answer:
The answer is $48
Step-by-step explanation:
48x15=720
Given the line below.
Write the equation of the line, in point-slope form. Identify (x1, y1) as the point (-2, -1). Use the box provided to submit all of your calculations and final answers.
Answer:
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)
Step-by-step explanation:
The equation of a line in point- slope form is
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁ ) a point on the line
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 1 ) and (x₂, y₂ ) = (2, 1 )
m = [tex]\frac{1-(-1)}{2-(-2)}[/tex] = [tex]\frac{1+1}{2+2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] and (x₁, y₁ ) = (- 2, - 1 ) , then
y - (- 1) = [tex]\frac{1}{2}[/tex](x - (- 2) ) , that is
y + 1 = [tex]\frac{1}{2}[/tex] (x + 2)
A photocopier can print 12 copies in 48 seconds. If the photocopier always copies at the same rate, how
long would it take to make 5 copies?
48 seconds / 12 copies = 4 seconds per copy
4 seconds per copy x 5 copies = 20 seconds
Answer: 20 seconds
Jim rented a truck for one day . There was a base fee of $18.95 and there was an additional charge of 74 cents for each mile driven . Jim had to pay $119.59 when he returned the truck . For how many miles did he drive the truck ??
Answer:
136 miles
Step-by-step explanation:
subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents
which gives you 136 so 136 miles.
Hope this helps :)
Cost of a shirt: $14.95
Discount: 45%
Tax: 6%
What is the new cost?
Answer:
$10.28
Step-by-step explanation:
Please help me with this.
Answer:
(3,-7)
Step-by-step explanation:
The point where they cross is the solution
Please help I'll mark you the brilliantest
Answer:
12)
a =140º
b=40º
c=40º
d 140º
Step-by-step explanation:
a line is 180º
Please hurry please!
Answer:
b
Step-by-step explanation:
25/8+(4/16)=3.8-0.25=
Answer:
71/ 20
Step-by-step explanation:
1. Write a quadratic equation for the parabola that passes through the
point (2, -3) with roots (-6, 0) and (4,0).
The quadratic equation with the given conditions is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:
[tex]f(x) = a(x - x_1)(x - x_2)[/tex]
In which a is the leading coefficient.
In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:
[tex]f(x) = a(x - (-6))(x - 4)[/tex]
[tex]f(x) = a(x + 6)(x - 4)[/tex]
[tex]f(x) = a(x^2 + 2x - 24)[/tex]
It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.
[tex]a(2^2 + (2)(2) - 24) = -3[/tex]
[tex]-16a = -3[/tex]
[tex]a = \frac{3}{16}[/tex]
Thus, the equation is:
[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]
A similar problem is given at https://brainly.com/question/17987697
PLEASE HELP
The table shows information about the population of a city.
Population in 2001 is 420 000
Population in 2011 is 480 000
Liam claims
"From 2011 to 2021 the population of the city will increase by
the same percentage as from 2001 to 2011"
He works out.
population increase from 2001 to 2011 = 480 000 - 420 000
= 60 000
population in 2021 = 480 000 + 60 000
= 540 000
Does the population of 540 000 match his claim?
You must show your working.
Answer:
y
Step-by-step explanation:
The value of (√5 + √2)2
(A) 7+ 2√5 (B) 1+ 5√2 (C) 7+2√10 (D) 7-2√10
[tex]( \sqrt{5} + \sqrt{2} {)}^{2} \\ [/tex]
[tex]by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} [/tex]
Answer:(C) 7+2√10
1. Which description is most accurate for a Zero-Based Budget?
a. You spend your checking account balance down to $0 every month
b. You put every dollar of your take-home pay into a budget category each month
C. You pay every one of your debts down to $0 every month
The correct answer is A. In a Zero-Based Budget, you spend your checking account balance down to $0 every month.
Zero-base budgeting is an analysis and planning method that is used in cost management, in which the budget is planned from base zero.
Each department has to define different measures for the coming period. The total budget is now divided among the most important measures until it is used up. Particularly important measures are carried out with the special solution, rather unimportant measures with the minimal solution.
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1/4 to the power of 7 times 1/4 to the power of -4
Answer:
0.015625
Step-by-step explanation:
the answer is 0.015625
Answer:
1/4^3
Step-by-step explanation:
1/4^7 x 1/4^-4 = 1/4^ 7+-4
=1/4^3
please help this is due today
Answer:
Q4) 256 roses
Q5) 40 hamburgers
Q6) 60 professors and 168 lecturers
Q7) 20 percussionist on the sideline
Step-by-step explanation:
Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:
I) 160:5 = x:8 (using colon) or
II) 160/5 = x/8 (as two equal fractions)
You can use one of the two above.
I used the fractions here to solve the question.
After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:
160×8 = 5×x
1280 = 5x
5x = 1280
Now you have to divide on both sides to isolate x.
5x÷5 = 1280÷5
x = 256
Therefore your answer is 256 roses.
Q5) Use the same method in Q4.
Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.
First thing your going to do is add the proportion together. So basically 5+14=19.
After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.
And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12
60:168
To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.
Your final answer: There are 60 professors and 168 lecturers.
Q7) Use the same method done in Q6.
I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.
For every pound a company spends an advertising it spends 26p on its website express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form
Answer:
£1 = 100p
100:26
÷2
=50:13 thats the answer
A crane cable can support a maximum load of 21,000 kg. If a bucket has a mass of 4,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubic meters of gravel (g) can be safely lifted by the crane? Enter any fractions as reduced improper fractions.
The crane can safely lift up to _____ cubic meters.
Answer:
k hh kn gigih ih jodoh Iin om i j OB yoh gih bogoh UB
Most television showsUse 13 minutes of every hour for commercials leaving the remaining 47 minutes for the actual show. One popular told me that she wants to change the ratio of commercial time to Showtime to be 3:7. Which way would have left commercials if the if you were still watching for two hours?
Answer:
Step-by-step explanation:née
12. MOVIES You have a gift card worth $90. You
want to buy several movies that cost $12
each. Write and solve an inequality that
represents the number of movies you can
buy and still have at least $30 on the
gift card. (Section 4.4)
Answer:
5 movies
Step-by-step explanation:
90-30=60
60/12=5
Answer:
90 minus 12x is greater than or equal to 30
then solve and get x equals 5
WILL GIVE BRANLIEST TO RIGHT ANSWER
Answer:
4x + 28
3x - 30
24x + 30
14x - 7y
Step-by-step explanation:
Use M a t h w a y to solve
Please help I’m offering a lot!!
What one word completes the following sentence?
_____angles formed
by a transversal of parallel lines are
congruent and all the_______
angles are supplementary to all the obtuse angles.
Answer:
right
Step-by-step explanation:
two transverse lines make a right angle ... no triangle gas 2 right angles
What is the constant of proportionality for the graph?
Answer:
k = 5
Step-by-step explanation:
y = kx
10 = 2k
k = 5
The table of paired values represents a proportional relationship.
x 1 3 6 7
y 4 y 24 28
What is the missing y-value in the table?
8
12
16
Answer:
B) 12
Step-by-step explanation:
Hope I helped!
HELP ME!!!!!!
I WILL GIVE BRAINLIEST!!!
kate had k dollars. she bought 3 packs of gum and now has c dollars left. How much does a pack of gum cost?
Answer:
30
Step-by-step explanation:
dollers bc if kate has k dollers a pack of gum is for 30
help plz i need help help help plz
Answer:
The answer is 3x3x3x3
Step-by-step explanation:
Reason: The 4 on top is an exponent. That exponent shows how many 3's you need to put. You need to put 4 3's, so 3x3x3x3