Answer:
Step-by-step explanation:
You have a 30-60-90 triangle. The sides of a 30-60-90 are in the ratio 1:√3:2.
The side opposite the 30° angle is 5, so the side opposite the 60° angle is 5√3, and the side opposite the 90° angle is 5×2 = 10.
x = 5√3
y = 10
Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.
Work out the percentage increase in the cost of her car insurance
(3 marks)
Answer:
Increase=638/245*100=260.40
Step-by-step explanation:
First: work out the difference (increase) between the two numbers you are comparing.
Increase = New Number - Original Number.
Then: divide the increase by the original number and multiply the answer by 100.
% increase = Increase ÷ Original Number × 100.
If using the method of completing the square to solve the quadratic equation
x2 + 13x -3 = 0, which number would have to be added to "complete the
square"?
Answer:
Step-by-step explanation:
The term added which completes the square is half of the linear coefficient squared. In a quadratic ax^2+bx+c, b is the linear coefficient, so in this case the added term would be
(13/2)^2=169/4=42.25
The term 13/2 is added to complete the square.
What is a quadratic equation?
A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The quadratic equation is x^2 + 13x -3 = 0.
This is not the perfect square term. So we can solve this by using the completing the square method.
⇒ [tex]x^{2} +13x-3=0[/tex]
⇒ [tex]x^{2} +13x=3[/tex]
⇒ [tex]x^{2} +13x + (\frac{13}{2})^{2} =3+(\frac{13}{2})^{2}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =3+\frac{169}{4}[/tex]
⇒ [tex](x+\frac{13}{2} )^{2} =\frac{181}{4}[/tex]
⇒ [tex]\sqrt{ (x+\frac{13}{2} )}^{2} =\sqrt{\frac{181}{4}}[/tex]
⇒ [tex](x+\frac{13}{2})[/tex] = ± [tex]\frac{\sqrt{181} }{2}[/tex]
Hence we can conclude that the term 13/2 is added to complete the square.
Learn more about quadratic equations here
https://brainly.com/question/12014272
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PLEASE HELP HELP HURRY PLEASE !!!!!!!!
Answer:
what are we helping with?
Step-by-step explanation:
Mia jogs 3 kilometers in 20 minutes. There are about 0.6 miles in a kilometer. What is Mia’s approximate speed in miles per minute?
0.25 miles per minute
0.09 miles per minute
4 miles per minute
11 miles per minute
Answer:
answer is 0.09 per minute
Step-by-step explanation:
edge 2021
If we add 7 to twice a number , we get 49. Find the number
The first term of a geometric sequence is 18 and the multiplier is 3.5. What is the 5th term of the sequence?
Answer:
2701.125
Step-by-step explanation:
fifth term = 18(3.5)^4
Answer:
a₅ = 2701.125
Step-by-step explanation:
Multiply each term by 3.5 , that is
a₁ = 18
a₂ = 3.5 × 18 = 63
a₃ = 3.5 × 63 = 220.5
a₄ = 3.5 × 220.5 = 771.75
a₅ = 3.5 × 771.75 = 2701.125
Write the slope of the line containing each pair of points.
1. (3, 4) and (5, 7)
2. (5, 2) and (9,4)
Kinda confused on this
Answer:
1) 1.5 2) 0.5
Step-by-step explanation:
To find slope using two points like (x1,y1) and (x2,y2), the slope is (y2-y1)/(x2-x1), so for first question (7-4)/(5-3) = 3/2 = 1.5, and same for the second question.
HELP DUE AT MIDNIGHT TN
Answer:
<8
Step-by-step explanation:
<1 and <8 are alt exterior angles
find ST, find UV, Find the perimeter of triangle RST, find SU
Answer:
(a). ST = 15 units; (b). UV = 3 units; (c). [tex]P_{RST}[/tex] = 54 units; (d). SU = 9 units
Step-by-step explanation:
The centroid of a triangle is the intersection of the three median of the triangle.
If a median of a triangle is a perpendicular, then a triangle is an isosceles triangle.
Divide (6x2 + 12x) by 3x
Answer:
choice 1) 2x+4
Step-by-step explanation:
(6x²+12x)/3x = 2x+4
Find the equation of the straight line which passes through each of the following pairs of points.
(1,4) (3,10)
Answer:
y = 3x + 1
Step-by-step explanation:
First, find slope:
[tex]y2 - y1 / x2 - x1[/tex]
[tex]10 - 4/ 3 - 1 = 6 / 2 = 3[/tex]
Then, put the equation into point-slope form using the point (1, 4):
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope
y - 4 = 3(x - 1)
If you want to put this into slope-intercept form, it would be
[tex]y-4=3(x-1)\\y - 4 = 3x - 3\\y = 3x + 1[/tex]
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!
Answer: y = (-1/2)x + 8.5
Step-by-step explanation:
A line perpendicular would have a slope that is the negative reciprocal of the given equation.
In this case, the slope is 2, so the perpendicular equation's slope would be -1/2.
We plug in (1, 8) to find b, or the y intercept.
8 = (-1/2)(1) + b
b = 8.5
So the equation would be:
y = (-1/2)x + 8.5
Answer:
[tex]y=-\frac{x}{2}+\frac{17}{2}[/tex]
Step-by-step explanation:
hope this is what you are looking for
have a nice day!!
Jada makes sparking juice by mixing 2 cups of sparkling water with every 3 cups of apple juice.
How much sparkling water does Jada need if she uses 15 cups of apple juice?
cups of sparkling water.
How much apple juice does Jada need if she uses 6 cups of sparkling water?
cups of apple juice.
Jada needs 10 cups of sparkling water if she uses 15 cups of apple juice.
Jada needs 9 cups of apple juice if she uses 6 cups of sparkling water.
Please help i will mark you brainiest
Select ALL the situations classified as exponential decay.
1. the temperature of a hot cup of coffee left on the counter every minute
2. the amount of a radioactive element remaining in a sample every decade
3. the amount of money in a savings account that earns interest annually
4. the monthly sales of albums by a band whose popularity is declining
5. the value of a home in a growing community every year
Answer:
1,2,4
Step-by-step explanation:
1: The temperature should be decreasing in an exponential rate as the coffee is hot
2: radioactive element should keep decreasing over years
3: should be increasing rate
4: 'popularity is declining' indicates it's a decay
5: 'growing community' indicated it's increasing
.
A full glass of water can hold á of a bottle.
How many glasses of water can be filled with 3 bottles of water?
Answer:
Step-by-step explanation:now a full glass holds 1/6 of a bottle that means 1 bottle contains 6 glasses. hence,3 bottles should be 3x6=18. now 1 bottle =6 glasses, then 1/2=6/2=3. ∴3 1/2 bottles would be=18+3=21 glasses
Plot 36 and 36 on the number line.
+
+
0
+
1
+
7
+
8
2
3
4
5
6
9
10
Answer:
Imagine skip counting by 9
<-------Negative side Positive Side------>
<-36 -27 -18 -9 -0- 9_18_27_36->
Numberline:
If logb y = 2x + logb x, find y.
Answer:
y = 2 x + log ( b x ) , y
Step-by-step explanation:
here you go buddy
Could someone please help me solve these 3 questions..
20 points and brainest if you answer all 3
Find the value of x.
Answer:
x=71
Step-by-step explanation:
What is the value of y in the equation 2(3y − 6) = 0
Answer:
[tex]y = 2[/tex]
Step-by-step explanation:
1) Divide both sides by 2.
[tex]3y - 6 = 0[/tex]
2) Add 6 to both sides.
[tex]3y = 6[/tex]
3) Divide both sides by 3.
[tex]y = \frac{6}{3} [/tex]
4) Simplify 6/3 to 2.
[tex]y = 2[/tex]
Therefor, the answer is y = 2.
please with 5 or 6 i don't get this at all
Answer :
5 )
1 - 119
2 - 61
3 - 61
4 - 119
5 - 119
6 - 61
7 - 61
6 )
3 - 102
4 - ??
5 - ??
6 - 133
7 - 47
8 - 47
9 - 133
Step-by-step explanation:
Mark me brainly
4. A stamp collection contains 32 Canadian stamps, 20 United Kingdom stamps, and 12 Asian stamps.
Write a ratio, in simplest form, to compare all the stamps.
What 32:30:12 in sim plaits form
Answer:
it'll be 64:5
Hope this helps
Hope this helps ALL THE BEST!!
who is good at math?
Answer:
i will forever hate math
Step-by-step explanation:
Find the value of x and check the solution.
5 + 4x = -11
Answer:
x=-4
Step-by-step explanation:
5+4x=-11
4x=-11-5
4x=-16
x=-16/4
x=-4
5+4(-4)=-11
5-16=-11
-11=-11
Answer:
x = -4
Step-by-step explanation:
5 + 4x = -11
4x = -11 - 5
4x = -16 (Divide 4 both sides)
x = -4
5 + 4x = -11
5 + 4(-4) = -11
5 - 16 = -11
-11 = -11
Compare the function f(x) = 4x + 2 to the function shown in the graph. Which statements are correct? А) The function f(x) = 4x + 2 and the graphed function have the same slope. B) The function f(x) = 4x + 2 has a greater rate of change than the graphed function. The graphed function has a greater rate of change than the function f(x) = 4x + 2. D) The graphed function has a y-intercept with a greater value than the function f(x) = 4x + 2. E) The function f(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
PLZ HELP ME
Answer:
B D and E
Step-by-step explanation:Got it right on USATP
What can you conclude about the relationship between government and big business before the Progressive Era began?
The government imposed strict regulations on big business
The government let big business do almost anything they wanted
The government helped working people unionize, upsetting big business
The government regularly sued big business in court
Answer: it’s the second one
Step-by-step explanation:
Help me with this please 4 and 6 only though.
y=9x is proportional
y= 19x - 5 is non proportional.
Hope this helped
Answer:
well 4 is proportional.
6 is non proportinal
Step-by-step explanation:
15 pionts and brainllest to first answer unless wrong please halp asap
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the area of the semicircle rounded to the nearest hundredth?
226.87 mm2
907.46 mm2
113.43 mm2
453.73 mm2
thn answer this one 2 please
The radius of the semicircle in the following composite figure is 8.5 millimeters. What is the total area of the composite figure rounded to the nearest hundredth?
257.43 mm2
185.43 mm2
370.87 mm2
298.87 mm2
Answer:
area of semicircle only = 113.43 mm²
total area = 185.43 mm²
Step-by-step explanation:
(8.5²)(π)(0.5) = 113.43 mm²
(12)(12)(.5) = 72 mm²
72 + 113.43 = 185.43 mm²
Answer:
185.43 mm²
Step-by-step explanation:
a train at a speed of 130 km/h and travels a distance of 1240 km. how long did it take the train to complete it's journey
Answer:
8 hours!
Step-by-step explanation:
Two rectangles are similar. The first is 6 inches wide and 4 inches long. The
second is 9 inches wide. Find the length of the second rectangle.
Answer:
It is 6 inches long
Step-by-step explanation:
Since they are similar the ratio of width and length will be the same for both so the ratio for the first one is 2/3 so whats two thirds of 9? 6, and that's your answer. If you have any questions about this just leave a comment