Answer:
c) 19
Step-by-step explanation:
9^2+17^2 = 81+289 = 370
sqrt370 = approx 19
Lollipops cost 12p each, but I get 3 for 30p. What is the maximum number of lollipops I can buy if I have £2 to spend?
Answer:
18 lolly pops
Step-by-step explanation:
3 = 30p
3x6 = 1.80
= 18
She spent 1hr 15min washing her car and she spent 1hr 50min cleaning her house, how long did it take
Answer:
3 hours 5 minutes
Step-by-step explanation:
1 hour + 1 hour = 2hrs
15 minutes + 50 minutes = 65 minutes
65 minutes to 1 hr = 1 hr 5 minutes
2 hours + 1 hr 5 minutes = 3 hours 5 minutes
Answer:
3 hours and 5 minutes
Step-by-step explanation:
1 hour=60 minutes
1 hour +1 hour =2 hours
50 minutes +15 minutes = 1 hour and 5 minutes
1 hour and 5 minutes +2 hours=
3 hours and 5 minutes
3. A system of functions is given. Select
ALL values where f(x) = g(x). Round all
answers to the nearest tenth
f(x) = - x - 2x + 6
g(x) = 2x2 + 5x + 3
a) -2.7
b) -1.8
c) -0.6
d) 0.4
e) 4.1
f) 5.1
g)7.0
Answer:
Step-by-step explanation:
The easiest way is to graph both functions and see where they intersect. The intersection is where f(x) = g(x).
f(x) = -x² - 3x + 6
g(x) = 2x² + 5x + 3
Find all the missing elements
Round to the nearest tenth.
Answer:
B = 48.7°
C = 61.3°
b = 12
Step-by-step explanation:
Given:
A = 70°
a = 15
c = 14
Required:
B, C, and b
Solution:
✔️Using the law of sines, let's find C:
Sin C/c = Sin A/a
Plug in the values
Sin C/14 = Sin 70/15
Cross multiply
Sin C × 15 = Sin 70 × 14
Divide both sides by 15
Sin C = (Sin 70 × 14)/15
Sin C = 0.8770
C = Sin^{-1}(0.8770)
C = 61.282566° = 61.3° (nearest tenth)
✔️Find B:
B = 180 - (70 + 61.3) (sum of triangle)
B = 48.7°
✔️Find b using the law of sines:
b/sinB = a/sinA
Plug in the values
b/sin 48.7 = 15/sin 70
Cross multiply
b*sin 70 = 15*sin 48.7
Divide both sides by sin 48.7
b = (15*sin 48.7)/sin 70
b = 11.9921789
b = 12.0 (nearest tenth)
Question in pic plz help! ~
Im gonna label the long side of a rectangle a and the smaller side b.
For the perimeter, 2a + 2b = 34
For the area, a x b = 66
if a is 11 and b is 6, the equation for perimeter would be 22 + 12 = 34.
So a = 11 and b = 6
Answer:
Longer side = 11
Shorter side = 6
Step-by-step explanation:
L x W = 66, then W = 66/L
2L + 2W = 34
substitute for W:
2L + 2(66/L) = 34
2L + 132/L = 34
multiply both sides of the equation by L:
2L² + 132 = 34L
divide both sides by 2:
L² + 66 = 17L
L² - 17L + 66 = 0
factor:
(L - 11)(L - 6) = 0
L = 11 or L = 6
if L = 11, then W = 6
if L = 6 then W = 11
Mrs. DeRossett's sister goes to the bank to get a loan to purchase a new home. The bank advises that she make sure her mortgage payment does not exceed 30% of her monthly take home pay. If Mrs. DeRossett's sister makes roughly $5,000 per month, then what would be her recommended maximum monthly mortgage?
Answer:
1,500
Step-by-step explanation:
3.
Mrs Rita buys 6 cartons of soya bean milk. Each carton contains 1.251
of soya bean milk. Does Mrs Rita have enough soya bean milk to fill up
20 mugs with a capacity of 320 ml each? Explain.
Yes, it is possible to fill all twenty mugs.
What number could replace t below?
\dfrac{1}{3} = \dfrac{2}{t}
3
1
=
t
2
Answer:
If you go to this link it'll give you a whole explanation and walk how to get your answer:
https://www.khanacademy.org/math/arithmetic/fraction-arithmetic/arith-review-visualizing-equiv-frac/a/equivalent-fractions-common-denominator-review
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=
Answer: good luck
Step-by-step explanation:
PLEASE HELP ALGEBRA!!
Answer:
The very first one is decay and the rest are growth
Step-by-step explanation:
Im SO sorry if i got it wrong
I REALLY hope this helped
Best of luck
π (pi) is an unending decimal. Find the Circumference of the circle below using exact π (pi).
Step-by-step explanation:
Given radius, r = 5,
Circumference of Circle, C
[tex] = 2\pi \: r \\ = 2\pi(5) \\ = 10\pi \: units[/tex]
Answer:
[tex]10\pi[/tex]
Step-by-step explanation:
As the hint below says:
[tex]C = 2\pi r[/tex]
We also know that
r = 5
So thus:
[tex]C = 2 \pi \cdot 5 = 10\pi[/tex]
Help on here too plz there’s more in my acc I need help on all
The box part of the box plot contains all the values between whích numbers?
25
30
35
40
45
50
between 27 and 36 and between 37 and 40
between 32 and 36
between 32 and 37
between 27 and 32 and between 37 and 40
Answer:
between 32 and 37
Step-by-step explanation:
that's my answer
I need the answer fast please !
Answer:
30
Step-by-step explanation:
Angles on a straight line are equal to 180°
180°-120°= 60°
Sum of Co interior angles are equal to 180°
180°-60° =120°
90°+60°+ x = 180°
((180° - 90° - 60°= 30°))
The volume of a square pyramid is 48 in^3 with a height of 4 inches. Find the length of one of the side of the base.
Answer:
6 inches
Step-by-step explanation:
area of square = 48 x 3 / 4 = 36 in^2
side = 6 in
Answer:
6 in
Step-by-step explanation:
The volume formula for a square-base pyramid of side length x and height h is V = (1/3)x²h. We want to solve this for the base side length x:
Multiplying both sides by (3/h) results in:
3V
----- = x² and so the side length, x, is √(3V/h).
h
Substituting 4 in for h and 48 in³ for V, we get: x = √(144 in³/4 in) = 6 in
Check: Does the volume formula given above result in 48 in³ when x = 6 in and h = 4 in?
V = (1/3)x²h = (1/3)(6 in)²(4 in) = 48 in³ YES: x = 6 in is correct.
What is the slope and y intercept of 4x + 2y = 6?
NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!! NO FILES!!!!
Answer:
4x−2y=6 is 21
Step-by-step explanation:
Answer:
Y intercept=3
4(0)+2y=6
y=3
slop=m=-2
y=-2x+3
y=mx+b
M=-2
Step-by-step explanation:
Which number line shows 1.5 graphed?
Answer:
The third one down
Step-by-step explanation:
Plz help!!!!
Josh conducted an experiment with the bag of
marbles shown below. He will draw a marble out of the bag, record the result, return the marble to the bag, and draw another marble, continuing the process.
If he completes this process 600 times, about how many
times should he expect to draw a striped marble?
A.Approximately 400 times
B.Approximately 250 times
C.Approximately 200 times
D.Approximately 150 times
Answer:
Step-by-step explanation:
There are 12 marbles in total with three of them being striped. The chance of pulling out a striped marble is 3/12 which can be reduced to 1/4. And 1/4 of 600 is 150.
Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x + 25) degrees. Determine the measure of each angle.
Answer: a = 3x
b = 2x+25
180 = a + b
180 = 3x + 2x + 25
180 = 5x + 25
155 = 5x
x = 31
a = 3*31 = 93
b = 2*31 + 25 = 87
Step-by-step explanation: pls mark as branlyest
1. A psychologist was interested in the effect of Vitamin A deficiency on maze learning rats. A group of nine rats learned a simple maze. Next, these same rats were deprived of Vitamin A for six weeks and were then tested again on their ability to learn a second maze equal in difficulty to the first. The scores represent the number of maze errors made under the two treatment conditions. Perform an appropriate two-tailed test of the significance of the mean difference.
Answer: hello your question has some missing information attached below is the missing information
we fail to reject H0 hence μ1 = μ2mean difference ( d ) = -2.444Step-by-step explanation:
H0 : μ1 = μ2
Ha : μ1 ≠ μ2
where : μ1 = mean number of errors made in pretest
μ2 = mean number of errors made in post test
n = 9
attached below is the detailed solution
Eu tenho um ovo de páscoa que custa 24,99 e tem 185 gramas, tbm tenho uma barra de chocolate q custa 5,10 e tem 90 gramad. Qual da mais vantagem para mim?
Answer:
A maior vantagem para mim é a barra de chocolate.
Step-by-step explanation:
Temos que encontrar o custo de 1 grama de ovo de Páscoa e barra de chocolate
Para o ovo de páscoa
Tenho um ovo de Páscoa que custa 24,99 e tem 185 gramas.
185 gramas = 24,99
1 grama = x
Multiplicação cruzada
185 gramas × x = 1 grama × 24,99
x = 1 grama × 24,99 / 185 gramas
x = 0,1612258065
Aproximadamente = 0,16
O custo de 1 grama de ovo de Páscoa = 0,15
Para a barra de chocolate
Também tenho uma barra de chocolate que custa 5,10 e tem 90 gramas.
90 gramas = 5,10
1 grama = x
Multiplicação cruzada
90 gramas × x = 1 grama × 5,10
x = 1 grama × 5,10 / 90 gramas
x = 0,0566666667
Aproximadamente = 0,06
O custo de 1 grama de barra de chocolate = 0,06
A maior vantagem para mim é a barra de chocolate.
7th grade math help me pleaseee
Answer:
A. 6.25x + 7.50 = 26.25
Step-by-step explanation:
Clara paid 7.50 for an admission ticket, each round was 6.25 and she did it for x rounds. 6.25x is the same thing as 6.25 times x rounds.
Answer:
whered all the time go? :(
Step-by-step explanation:
What is the purpose of scientific notation? How is scientific notation represented? Explain.
plz help
Answer:
Step-by-step explanation: The purpose of scientific notation is to make the numbers and quantities used easier to comprehend, to read and to write.
Express both numbers with the same power of ten.
Add the base numbers.
Bring the power of ten down to represent the new power of ten for the sum.
Simplify so that the base number is between 1 and 10.
Answer:
What is the purpose of scientific notation?
"to make the numbers and quantities used easier to comprehend, to read and to write. " <----- Credits to: Yahoo
How is scientific notation represented?
"To start with, scientific notation is a form of expressing very small or large numbers in a simpler form." <--------- Credits to: Yahoo
what’s 741.38 to five decimal places?
Answer:
Step-by-step explanation:
If you're referring to moving the decimal point five places to the left, your answer should be
.0074138
If you're referring to the right, your answer should be
74138000.
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
Answer:
Step-by-step explanation:
Dani has only 1/2 of a cup of baking mix. She needs 3/4 of a cup for one batch of muffins. Which solution method shows how much of a batch of muffins Dani can make?
Questions (a,b), 1 (a,b)
a )
First of all we need to find the value of x ,
because the angles are written in terms of the variable x .
______________________________________
Let's find the value of x :STV angle & SUV angle have same measure because both of them are the front angle of SV arc .
[tex]STV angle \: = SUV angle \: \: = \frac{SV \: arc}{2} \\ [/tex]
So :
[tex]3x - 5 = 2x + 15[/tex]
Add sides 5
[tex]3x - 5 + 5 = 2x + 15 + 5[/tex]
[tex]3x = 2x + 20[/tex]
Subtract sides minus 2x
[tex]3x - 2x = 2x + 20 - 2x[/tex]
Collect like terms
[tex]x = 2x - 2x + 20[/tex]
[tex]x = 20[/tex]
Thus the measure of angle T equals :
[tex]measure \: of \: angle \: T = 3x - 5 \\ [/tex]
Now just need to put the value of x which we found :
[tex]measure \: of \: angle \: T \: = 3 \times (20) - 5 \\ [/tex]
[tex]measure \: of \: angle \: T \: = 60 - 5[/tex]
[tex]measure \: of \: angle \: T \: = 55°[/tex]
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
b )
angle S & angle V are also have same measure because they both are the front angles to the TU arc .
And we need to find the value of x again in this part exactly like we did for a .
[tex]angle \: \: S = angle \: \: V[/tex]
As the question told :
[tex]angle \: \: S = 3x[/tex]
and ,
[tex]angle \: \: V = x + 16[/tex]
Thus :
[tex]3x = x + 16[/tex]
Subtract sides minus x
[tex]3x - x = x + 16 - x[/tex]
Collect like terms
[tex]2x = x - x + 16[/tex]
[tex]2x = 16[/tex]
Divide sides by 2
[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]
Simplification
[tex]x = 8[/tex]
So ;
[tex]measure \: \: of \: \: angle \: \: S = 3x[/tex]
[tex]measure \: \: of \: \: angle \: \: S = 3(8)[/tex]
[tex]measure \: \: of \: \: angle \: \: S = 24°[/tex]
And we're done.
Please help Sammy buys light bulbs in pack of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.
Answer:
5
Step-by-step explanation:
Write an equation in slope intercept form that represents the line shown?
Answer:
I think the answer would be Y=-2X+5
Hope it helps you *^*
WILL NAME BRAINLIST! The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. 1 in 1 in. 3 in. What is ine area of one trapezoidal face of the figure? ___ in. 2
Area= 1/2 (a+b)h
1/2(1in. +3in.)1in.
1/2(4in.)1in.
2in.× 1in.
2in. Therefore the area is 2in.
The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal size. A shade for the window will extend 4 inches beyond the perimeter of the window, shown by the dashed line around the window. Each square in the window has an area of 169 in2. Round your answers to the nearest whole number.
Answer:
[tex](a)\ Area = 3765.32[/tex]
[tex](b)\ Area = 4773[/tex]
Step-by-step explanation:
Given
[tex]A_1 = 169in^2[/tex] --- area of each square
[tex]Shade = 4in[/tex]
See attachment for window
Solving (a): Area of the window
First, we calculate the dimension of each square
Let the length be L;
So:
[tex]L^2 = A_1[/tex]
[tex]L^2 = 169[/tex]
[tex]L = \sqrt{169[/tex]
[tex]L=13[/tex]
The length of two squares make up the radius of the semicircle.
So:
[tex]r = 2 * L[/tex]
[tex]r = 2*13[/tex]
[tex]r = 26[/tex]
The window is made up of a larger square and a semi-circle
Next, calculate the area of the larger square.
16 small squares made up the larger square.
So, the area is:
[tex]A_2 = 16 * 169[/tex]
[tex]A_2 = 2704[/tex]
The area of the semicircle is:
[tex]A_3 = \frac{\pi r^2}{2}[/tex]
[tex]A_3 = \frac{3.14 * 26^2}{2}[/tex]
[tex]A_3 = 1061.32[/tex]
So, the area of the window is:
[tex]Area = A_2 + A_3[/tex]
[tex]Area = 2704 + 1061.32[/tex]
[tex]Area = 3765.32[/tex]
Solving (b): Area of the shade
The shade extends 4 inches beyond the window.
This means that;
The bottom length is now; Initial length + 8
And the height is: Initial height + 4
In (a), the length of each square is calculated as: 13in
4 squares make up the length and the height.
So, the new dimension is:
[tex]Length = 4 * 13 + 8[/tex]
[tex]Length = 60[/tex]
[tex]Height = 4*13 + 4[/tex]
[tex]Height = 56[/tex]
The area is:
[tex]A_1 = 60 * 56 = 3360[/tex]
The radius of the semicircle becomes initial radius + 4
[tex]r = 26 + 4 = 30[/tex]
The area is:
[tex]A_2 = \frac{3.14 * 30^2}{2} = 1413[/tex]
The area of the shade is:
[tex]Area = A_1 + A_2[/tex]
[tex]Area = 3360 + 1413[/tex]
[tex]Area = 4773[/tex]