Answer:
The answer is
Step-by-step explanation:
Q11.
The diagram shows a trapezium.
x-4
Diagram NOT
accurately drawn
2x
x + 5
All the measurements are in centimetres.
The area of the trapezium is 351 cm2.
(a) Show that 2x2 + x - 351 = 0
Answer:
Step-by-step explanation:
The area of a trapezium is given as;
Area = [tex]\frac{1}{2}[/tex](a + b)h
where: a is the length of the upper side, b is the length of its base and h is its height.
This implies that; a = x - 4, b = x + 5, h = 2x and area = 351
Thus,
351 = [tex]\frac{1}{2}[/tex]((x - 4) + (x + 50)) 2x
= (x - 4 + x + 5) x
531 = (2x + 1) x
= 2[tex]x^{2}[/tex] + x
So that;
2[tex]x^{2}[/tex] + x - 531 = 0
This gives a quadratic equation.
Please help me out. I will mark brainlist. How do I solve this?
Hello! Really need some help with this
Answer:
F
Step-by-step explanation:
Brainliest ?!?!!?!?
If the cost of electricity increases by 30% by what percentage one should reduce his spend in order that spends on electricity stays the same?
Answer:
That depend on how much you spend on electricity, and how much other spending you do.
For example: If your electric bill is 100 dollars, and it increases 30 percent to 130, that’s 30 extra dollars. If your electric bill is only 50 dollars, it will increase to 65, that’s an extra 15.
What percentage that increase is of your current spending will vary according to how much you spend. If you only spend 30 dollars, then you’ll need to cut all of it, or half of it to offset the increases I mentioned above. That’s a 100 percent or 50 percent reduction.
If you spend 1000 dollars, you’ll only need to cut spending by 3 percent to get that 30 dollars, or 1.5 percent to get the 15 dollars.
It all depends on your specific values, you can’t say “For every xx percent your electric bill increases, you need to cut spending by yy percent.”
for the consumption of X unit let u spends Y
for X - Y cost
for increased 30% means 13X/10 - 13Y/10 cost
extra money is 13Y/10 - Y = 3Y/10
note: hope this helps :)
thus (3Y/10)/ (13Y/10) *100 % = 300 / 13 = 23.07%.
Sally has 21 books Sam has 24 times more books than sally how many books does Sam have
the winning candidate in an election receives 0.64 of the votes. there are 100 voters. how many votes does the winning candidate receive?
Answer:
64
Step-by-step explanation:
.64 = Sixty-four hundredths or 64/100
That is 64% or 64 voters out of 100
Which equation is true answer ASAP!
15 divided by 112.5=7.5
15 divided by 112.5=75
112.5 divided by 15=7.5
112.5 divided by 15=75
Answer:
112.5 divided by 15=7.5
112.5 divided by 15=7.5 equation is true answer.
Given option are:
15 divided by 112.5 = 7.5
15 ÷ 112.5 = 0.1333
This option is wrong.
15 divided by 112.5 = 75
15 ÷ 112.5 = 0.1333
This option is wrong.
112.5 divided by 15 = 7.5
112.5 ÷ 15 = 7.5.
This option is right.
112.5 divided by 15 = 75.
112.5 ÷ 15 = 7.5.
This option is wrong.
Therefore, the correct equation is 112.5 divided by 15=7.5
Learn more about divide here:
https://brainly.com/question/30038387
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Hayden invested $200 in a savings account that earned 3.3% simple interest each year. William invested $300 in a savings account that earned 2.5% simple interest each year. Neither Hayden nor William add or take out money from their accounts. Hayden claims that she will earn more interest on her account than William after 2 years because she has a greater interest rate. Do you agree with Hayden? Why or why not? Be sure to defend your answer with numbers.
Answer:
No i do not agree
Step-by-step explanation:
I will MARK AS BRAINLIEST.
3x3-5/5x6+19 i don’t know what I’m don’t wrong
Hi there!
For these two equations, we would be using PEMDAS...
[tex]3[/tex]·[tex]3=9-5=4[/tex]
[tex]5[/tex]·[tex]6=30+19=49[/tex]
Hope this helps!
1. — 2X >6
How do you solve this
Answer:
x<-3
Explanation:
Divide both sides by -2 to isolate x.
Since you have divided by a negative number and it changed the positive number to a negative one, you'll need to change the direction of the sign to now reflect that.
I hope that helped!
sana tama po
In 5,368,407, which digit is in the thousands place?
Answer:
the 8
Step-by-step explanation:
It goes in order:
ones: 7
tens: 0
hundreds:4
thousands: 8
and it keeps going
what is equal to 45a-10b
Answer:
45b - 10a
Step-by-step explanation:
Answer:
5(9a-2b)
Step-by-step explanation:
This is a polynomial and you have to factor it.
GCF of 45a and 10b is 5
5(9a-2b)
Branliest would be Appreciated
CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?
A. 0.45
B. 2.82
C. 0.03
The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.
To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.
[tex]\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt[/tex]
By definition of absolute value,
[tex]|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)<0\end{cases}[/tex]
Over this particular integration interval,
• sin(t ) ≥ 0 for 1 ≤ t < π, and
• sin(t ) < 0 for π < t ≤ 5
so you end up splitting the integral at t = π as
[tex]\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt[/tex]
Now compute the distance:
[tex]\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5[/tex]
[tex]\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))[/tex]
[tex]\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82[/tex]
making B the correct answer.
A zookeeper is monitoring the supply of grain and hay that she has to feed the
animals for the week. She currently has eight pounds of hay. One pound of hay
feeds the animals for three days. The grain that she has to feed the animals is
shown in the graph below. Given the rate at which the zookeeper is giving the
animals hay and grain, on which day will she have the same amount of grain and hay remaining?
Answer: Day 6
Step-by-step explanation: Every 3 days 1 pound of hay is used every day 1 pound of grain is used. There are 10 pounds of grain and 8 pounds of hay. On the 6th day there are 6 pounds of hay left and 6 pounds of grain left.
I need help 79 points
Answer:
can u explain this a little bit more i think ik the answer but im not sure #3 is well i think it is 120#4 is 164.85 #5 is 40 yea hope this helps :)
Step-by-step explanation:
Answer:
#3 = 120
#4 = 164.85
#5 = 40
#6= 240
Step-by-step explanation:
hope i helped!
please explain denominator and numerator
Answer:
numerator on top
denominator on bottom
Step-by-step explanation:
8kg ham costs $12/kg. find the cost per pound.
Answer:
The cost per pound is: $5.45 per pound
Step-by-step explanation:
Given
8kg ham costs $12/kg
To determine
Find the cost per pound
As
1 kg = 2.2 pounds
Weight of 8kg in ponds = 8 × 2.2 = 17.6 ponds
Cost of ham/pound = $12/2.2 pounds
= $5.45 per pound
Thus, the cost per pound is: $5.45 per pound
Pedro bought a movie ticket for $9.50 and popcom por $4.35. He has $8.75 left
over How much money did he have before he went to the movies?
Answer:
He had $22.60
Step-by-step explanation:
$9.50 + $4.35 = 13.85 + 8.75 = $22.60
Question 6 of 10
What is the equivalent radical expression for the exponential expression
below?
151/2
O A √15²
B. 154
C. 15
D. 152
Answer:
√15
Step-by-step explanation:
Assuming that it is:
[tex]15^\frac{1}{2}[/tex]
Exponent rule for fractional exponents are:
[tex]x^\frac{a}{b}=\sqrt[b]{x^a}[/tex]
Apply rule:
[tex]15^\frac{1}{2}=\sqrt{15}[/tex]
Hope this helps!
During a scuba dive, Lainey descended to a point 23 feet below the ocean surface. She continued her
descent at a rate of 23 feet per minute. Enter an inequality you could solve to find the number of minutes
she can continue to descend if she does not want to reach a point more than 97 feet below the ocean
surface. Use t to represent the variable for the minutes Lainey can continue to descend.
The inequality is
t (select)
t (23) ≤ 97 - 23
The minus 23 at the back represents the feet she already descended before what the question wants us to calculate
≤ is used instead of < because it states more than, not "equal or more than" (meaning 97 sharp is fine)
Question 7
1 pts
Simplify the following expression:
-9(14p - 8) - 4p
-130p + 72
O 122p - 72
0-130p - 18
O 130p - 72
Answer:
Step-by-step explanation:
i
Any regular polygon can be divided into the same number of _____ triangles as the polygon has sides.
Answer:
Congruent
Step-by-step explanation:
Any regular polygon can be divided into the same number of congruent triangles as the polygon has sides.
Hope it helped!!!
Mia has 4 horses and 11 apples. She gives each horse the same number of
apples, and she uses as many apples as she can. How many apples does Mia
give each horse? How many apples are left?
» Complete the equation.
11 : 4 =
R
Answer:
She gives 2 apples to each horse, and there will be 3 apples left.
Step-by-step explanation:
We know that Mia has 4 horses and 11 apples
She gives each horse the same number of apples, such that she uses the maximum number of apples that she can.
If she has 4 horses and she gives the same amount to each horse (let's say that this amount is N apples to each horse)
Then she uses a total of 4*N apples.
Then if N = 1, she needs 4*1 = 4 apples.
if N = 2, she needs 4*2 = 8 apples.
if N = 3, she needs 4*3 = 12 apples.
But she has only 11 apples, so she can not give 3 apples to each horse.
Then the maximum number of apples that she can give to each horse is N = 2, 2 apples to each horse.
Now, we know that she has 11 apples in total, and she gives 2 to each of the 4 horses, then she gives:
4*2 = 8 apples.
The number of apples that are left are:
11 - 8 = 3
There are 3 apples left.
please help me asap thank you !!
Answer:
x = 3
Step-by-step explanation:
Measure of a triangle is 180° degree.
.·. 46 + 105 + 6x + 11 = 180
.·. 162+6x=180
.·. 6x=180-162
.·. 6x= 18
.·. x= 18/6
.·. x= 3
Find the area of these shapes!! Will mark brainliest for right answer
Answer:
for first one
total area =l×b+1/2×b×h=6×4+1/2×2×6=30cm²
Step-by-step explanation:
for second one
total area =l×b+1/2×b×h=7×5+1/2×7×2=35+7=42m²
HELP SOLVE ASAP
Vanessa needs to rent a car while on vacation. The rental company charges $17.95, plus 18 cents for each mile driven. If Vanessa only has $40 to spend on the car rental, what is the maximum number of miles she can drive? _________________________Miles
Answer:
2 miles.
Step-by-step explanation:
17.95 +17.95= 35.90
Please help :c !!!!
Answer:
Row D
Step-by-step explanation:
y = 2x - 3
if x = 10
y = 2 * 10 - 3
= 20 - 3
= 17
so row d is incorrect.
What type of slope is shown in the graph?
positive
negative
zero
undefined
Answer:
this is a negative slope
Step-by-step explanation:
hope this helps!
Answer:
negative
Step-by-step explanation:
Renae drives a delivery can on the weekends
She had a total of 12 3/4 gallons of fuel Renae knows that ever gallon fbfuel she can travel 21 miles of she uses all her Fuel how many miles will she travel
Answer:
267 3/4 miles
just do 12 3/4*21