Answers
Answer:
height = 10 , area = 240 units²
Step-by-step explanation:
The diagonal splits the rectangle into 2 right triangles.
Using Pythagoras' identity in the right triangle formed
with hypotenuse h = 26 and legs 24 and height x , then
x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )
x = [tex]\sqrt{100}[/tex] = 10
Height = 10 units
area of rectangle = 24 × 10 = 240 units²
Related Questions
help please 6(l+3)<3(2l+6)
Answers
Answer:
No solution
Step-by-step explanation:
Expand and simplify both expressions:
6l+18 < 6l+18
6l+18-18 < 6l+18-18
6l < 6l
0 < 0
Therefore, there is no solution
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $225 each, and the desktop computers cost $250 each. How many total computers would someone buy if they get 19 notebooks and 12 desktop computers? How many total computers would someone buy if they get
n notebooks and
d desktop computers? (n+d)
Answers
Answer:
n=19
d=12
$225n+$250d=
$225(19)+$250(12)=
4275+3000
=7275
Step-by-step explanation:
The graph shows how the number of hats in your collection increased since you began collecting 6 months ago. How many hats did you collect during the second month? Hat Collection A graph has time (months) on the x-axis, and total number of hats on the y-axis. Lines connect points (0, 0), (1, 3), (2, 5), (3, 8), (4, 9), (5, 10), (6, 12). hats
Answers
Answer:
Step-by-step explanation:
Two hats were collected in the second month (5-3) =2.
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
There are 20 red marbles
Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:
= 1 - 5/9
= 4/9
If there are 45 marbles in total, the number of red marbles will be:
= 4/9 × 45
= 20
Therefore, there are 20 red marbles.
help ASAP please which too answers are correct
Answers
Answer:
20 (30 + d)
Step-by-step explanation:
your welcome :)
Answer:
2 and 4th one.
Step-by-step explanation:
Hopes This Helps :)
Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent
Answers
Answer:
solution, cp=Rs150 profit=Rs12 Now, profit percent=profit% of cp or,profit percent=12/100 x Rs150 Therefore,profit percent =18%
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
We know that
Profit% = Profit/CP × 100
=> 12/150 × 100
=> 12/15 × 10
=> 4/5 × 10
=> 8%
What is 22.6% of 65
Answers
22.6/100 = 0.226
0.226 x 65 = 14.69
Answer:
14.69
Step-by-step explanation:
22.6% = 0.226
65 × 0.226 = 14.69
Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for you conclusions. sequence1: 1/2, 7/6, 11/6, 5/2
Answers
The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence
The given sequence is:
[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]
A sequence is an arithmetic sequence if it has a common difference d
In the given sequence:
[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]
[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]
Since the sequence has a common difference of 2/3, it is an arithmetic sequence
Learn more on sequence here: https://brainly.com/question/25935727
HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE
Answers
half of the 40 is 20 so 3/2 of the area is 60
State what information is required to know that the triangles are congruent.
-GEOMETRY
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf \angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]Answer: Choice A
Explanation:
The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".
One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.
P(x)=−.002x2+2.5x−700
Answers
Answer:
P = − 0.002x + 2.5 − 700 over x
Step-by-step explanation:
What is the solution to the system of equations shown below?
y = -x-2
4y + 8 = x
A. No solution
B. (2,0)
C. (0,2)
D. Infinitely many solutions
Answers
Answer:
The answer is c when u solve for x it gives 0 and for y gives 2
please help ASAP! A circular plate has a radius of 13 centimeters.
What is the area of the plate?
Use 3.14 for π.
Answers
Answer:
area = PI x r^2
area = 3.14 x 13^2
area = 3.14 x 169
area = 530.66
Step-by-step explanation:
Plz Mark as brainliest hope this helps
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
The variable f models the fee (in dollars) for climbing d meters.
f=110+0.12d
What is the initial fee?
Answers
110 is the initial fee.
intial fee is the y-intercept.
the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?
Answers
Answer:
The numbers are 27 and 41.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
The numbers would be 41 and 27
Step-by-step explanation:
It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68
(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answers
Answer:
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 – 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Thank you!
Giving brainliesttttttt
Answers
Answer:
I think it is the line D as a thought
Leo solved the equation b = 12 a−1−−−−−√3 for a, but made an error. His work is shown. Complete the sentences that follow.
Answers
The value of a in terms of b is given as [tex]a = 8b^3[/tex]
Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
We are to solve the equation for the variable "a"
Given;
[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]
Cross multiply
[tex]2b=\sqrt[3]{a-1}[/tex]
Cube both sides of the equation:
[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]
Add 1 to both sides of the equation:
[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]
Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]
Learn more on subject of formula here: https://brainly.com/question/657646
after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with???
Answers
Answer:
46.85
Step-by-step explanation:
He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85
I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)
Answers
Answer:
Option B, x + 2y = 8
Step-by-step explanation:
When two lines are parallel, their gradients are equal i.e M1 = M2
(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)
Gradient of a line = (y2 - y1)/(x2 - x1)
Using coordinates (-4,0) and (4,-4)
Gradient of the line = (-4-0)/[4-(-4)]
= -4/4+4
= -4/8
= -1/2
Therefore gradient of the parallel line is -1/2
Equation of a line using slope intercept form
(y - y1) = m(x - x1)
The parallel line passes through point (2,3)
y - 3 = -1/2 ( x - 2)
2(y - 3) = -1(x - 2)
2y - 6 = -x + 2
2y + x = 8
I hope this helps you to learn....
(3-5i)^2
i know the answer I’m just confused on how to get to that point. Please and thank you!
Answers
[tex](3-5i)^2\\\\=3^2-2(3)(5i) + (5i)^2\\\\=9-30i +25i^2\\\\=9-30i +25(-1)~~~~;[i^2=-1]\\\\=9-30i-25\\\\=-16-30i[/tex]
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.
Answers
Answer:
$1
Step-by-step explanation:
Sorry the first x is blank
The second x:
$5.06-$2.06=$3
3/3=$1
Choose all the number lines that show equivalent fractions.
A.
+
1
0
j
1
B.
o
+
1
이고
0
1
+
+
+
1
D.
0
1
-
AU E.
0
+
1
Plz help me this is my exam no links
Answers
Answer:
a and d
Step-by-step explanation:
can someone help me. these are due tonight.
Answers
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
Please helpppppppppp
Answers
Answer:add 126 and 21 and 1.19
Step-by-step explanation:
126+21+1.19=
hope this helped
Answer:
7.14
Step-by-step explanation:
126 miles divided by 21 miles is 6 miles
So 6 gallons for 126 miles
1.19 times 6 is 7.14
Can you help me explain
Answers
Answer:
6, 60, 0.6, 600 are the answers
the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some
Step-by-step explanation:
On the first day of the trip, Robert canoes for 3 hours. How far did Robert travel?
I need help I don't know how to solve this please help
Answers
Answer:
9 miles per hour
Step-by-step explanation:
He goes 3/4 of a mile in 15 minutes, so multiply x 4 to get how far per hour. 3/4 x 4 = 12/4 = 3 miles per hour. He went for 3 hours, so 3 x 3 = 9.
Can you help me, please?
Answers
Answer:
listen picture is not clear
What is the value of the expression below when z=
5?
5z - 4
Answers
Answer:
Well we’ll just substitute
So 5z-4
And z is 5
5*5-4
25-4=21
The value is 21
Im so confused of what to do?
if you're good at maths please help
with steps
Answers
Answer:
you need to show the number is prime
Step-by-step explanation:
To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.
The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...
2^7 -1 = 128 -1 = 127
The sum of digits is 10, which is not a multiple of 3: not divisible by 3.
The units digit is 7, not 0 or 5: not divisible by 5.
The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.
We know that 11² = 121, so 127 is not divisible by 11.
All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.
_____
Additional comment
It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.
You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.