Answer:
x = 1.146 and x =7.854
Step-by-step explanation:
Use the quadratic formula
x = -b ± √b² -4ac
2a
-(-9) ±√81-36
2
9 ± √45
2
The length of a car measures 30 feet what is the length of a model car if the scale factor is 1:64
Answer:
5 5/8 inches
Step-by-step explanation:
Set up and solve an equation of ratios:
x 1
------- = -------
30 ft 64
Then 64x = 30 ft, and x (the length of the model car) is 30/64 ft, or
x = 0.469 ft, or 5 5/8 inches
Find FH.
F
640
н
G
10
Write your answer as an integer or as a decimal rounded to the nearest tenth.
FH =
Submit

Answer:
FH ≈ 4.4
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos64° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FH}{GH}[/tex] = [tex]\frac{FH}{10}[/tex] ( multiply both sides by 10 )
10 × cos64° = FH , then
FH ≈ 4.4 ( to the nearest tenth )
The product of 3 and m is less than 7
Answer:
Step-by-step explanation:
3m < 7
Product means multiply, less than means less than sign.
Can please anyone help me
Answer:
y-17=5(x+2)
Step-by-step explanation:
point slope form is y-y1=m(x-x1)
y1 = y coordinate
m = slope
x1 = x coordinate
so you put in the x and y coordinates from the ordered pair into the equation
plz help tysm!!!!!!!!!!!!!!!!!!!!
Answer:
y = x - 7
Step-by-step explanation:
Slope - intercept form: y = mx + b
2x - 2y = 14
-2y = -2x + 14
Divide the equation by (-2)
[tex]\frac{-2y}{-2}=\frac{-2x}{-2}+\frac{14}{-2}\\[/tex]
y = x - 7
If a van traveled 240 miles in 4 hours how far could tha van travel in 5 hours
The equation of line L is 2x+y=3
Line M is parallel to line L and passes through
(1,−6)
Work out the equation of line M.
Give your answer in the form
y=ax+b
(3 marks)
Answer:
y = -2x - 4
Step-by-step explanation:
We transform the line equation of L:
2x + y = 3 --(-2x)--> f(x) = y = -2x + 3
We now know that L intersects the y-axis at 3 and it has a slope of -2.
In order to construct a parallel line M, it needs to have an identical slope to L.
All we need to do now is to move one step from the given point (1,-6) towards 0 with the predetermined slope of -2, resulting in the point (0,-4).
Since we know slope and intersection with the y-axis (0,-4), we can construct the line equation:
f(x) = y = -2x - 4 for line M.
If ab = 5 and a + b =10 Evaluate a^2 + b^2
Step-by-step explanation:
a^2=10+b^2=10 10+10=20
There are 45 students who participate in track. Of these, 18 do an event other than running. What percent of the students do an event other than running?
Answer:
27
Step-by-step explanation:
To find out how many people do something OTHER than running, you have to take the total amount of students participating and subtract the number of runners. 45 - 18 = 27.
Answer:
40%
Step-by-step explanation:
18÷45 = 0.4 × 100 = 40%
A village is 10km on a bearing 050° from a point O. Calculate how far the village is north of O.
Answer:
7.66 km
Step-by-step explanation:
Let distance village is ; north of O = x
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Opposite = x
Hypotenus = 10
θ = 50°
Sin50 = x / 10
0.7660444 = x / 10
x = 0.7660444 * 10
x = 7.6604444
x = 7.66
help me please!!!!!!!!
Answer: it would be 4/2
Step-by-step explanation:
Answer:
the slope is 4/2, which can be simplified to 2/1.
Step-by-step explanation:
to find a slope, you have to identify two points that the line goes through. for example, in this problem. the slope travels through (0,0) and (2,4). from (0,0) tp (2,4), the slope travels to the side two points and up four. in the equation y=mx+b, m would be 4/2 or 1/2 since it's the slope. hope this helps a bit!!
15w - 4 = 41 w=___ help
Answer:
[tex]15w - 4 = 41 \\ 15w = 41 + 4 = 45 \\ w = \frac{45}{15} \\ w = 3[/tex]
Burger = 8.00
Fries = 2.00
Drink = 1.00
Tax = 7%
Tip = 20%
Total = _______
Answer:
$13.79
Step-by-step explanation:
$8.00+$2.00+$1.00=$11.00
7%=$0.77
$11.00+$0.77=$11.77
20%=$2.02
$11.77+42.02=$13.79
Write this ratio as a fraction in simplest form without any units
28 days to 5 weeks
You can use the table below to help convert the units.
1 minute = 60 seconds
1 hour
60 minutes
1 day = 24 hours
1 week = 7 days
The ratio as a fraction will be 4 : 5 or 4/5.
The ratio given is ; 28 days to 5 weeks .
We have to find out this ratio as a fraction in the simplest form ?
What will be the value of ratio ; 2 : 4 will be ?
The value will be 1 : 2.
We have to change given ratio as a fraction in simplest form for ;
28 days to 5 weeks. To convert it in ratio we firstly need to change 5 weeks into days.
∵ No. of days in 1 week = 7 days
⇒ No. of days in 5 weeks = 7 × 5 = 35 days
The ratio as the fraction will be ;
[tex]\frac{28 days}{35 days}[/tex]
taking 7 common from both numerator and denominator.
= [tex]\frac{4}{5}[/tex]
Thus , the ratio as a fraction will be 4 : 5.
To learn more about ratio click here :-
https://brainly.com/question/23621804
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Betsy uses 8.8 of blue paint and white paint to paint her bedroom walls. 1/4 of this amount is blue paint. And th rest is white how many pints of white paint did she use to paint her bedroom walls
Answer:
6.6 pints of white paint is used to paint the bedroom walls
Step-by-step explanation:
Pints of blue paint used to paint the bedroom walls = 8.8
Ratio of blue paint used = [tex]\frac{1}{4}[/tex]
Therefore,
Ratio of white paint used = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Pints of white paint used to paint the bedroom walls = [tex]\frac{3}{4}(8.8)=3(2.2)=6.6[/tex]
Therefore,
6.6 pints of white paint is used to paint the bedroom walls.
Does this diverge or converge?
Answer:
L = 7/6 , and the correct option is B, the series diverges.
Step-by-step explanation:
Here we have that:
[tex]an = \frac{(3n + 3)*7^n}{6^{n+4}}[/tex]
Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:
[tex]a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}[/tex]
We can simplify the right part to get:
[tex]\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}[/tex]
[tex]\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}[/tex]
Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.
The first derivatives are:
For the denominator: (3*6)
For the numerator: (3*7)
Then we need to find the limit as n goes to infinity to:
[tex]\frac{3*7}{3*6} = \frac{7}{6}[/tex]
But this does not depend on the value of n, then the limit is just 6/7.
L = 7/6
And 7/6 > 1.
Then we can conclude that our series diverges.
Which expression is equivalent to 74% of 12?
0.74 x 12
74 x 12
7.4 x 12
O 7.4 + 12
Answer:
0.74x12
Step-by-step explanation:
Answer:
hello! :) have a good day!
74% of 12 is 8.88
So it would be
0.74 x 12 = 8.88
Helppp please I have a 25 in math
PLEASE HELP!!!! WILL GIVE BRAINLIEST TO BEST ANSWER ASAP!!! TIME SENSITIVE
Answer:
12
Step-by-step explanation:
a is 12
Write the standard form of the equation of the circle with the given characteristics. Center: (3, 9); Solution point: (−2, 21)
Given:
Center of a circle is (3,9).
Solution point is (-2,21).
To find:
The standard form of the circle.
Solution:
Radius is the distance between center (3,9) and the solution point (-2,21).
[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(-2-3)^2+(21-9)^2}[/tex]
[tex]r=\sqrt{(-5)^2+(12)^2}[/tex]
[tex]r=\sqrt{25+144}[/tex]
On further simplification, we get
[tex]r=\sqrt{169}[/tex]
[tex]r=13[/tex]
The radius of the circle is 13 units.
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center and r is the radius.
Putting h=3, k=9 and r=13, we get
[tex](x-3)^2+(y-9)^2=(13)^2[/tex]
[tex](x-3)^2+(y-9)^2=169[/tex]
Therefore, the standard form of the circle is [tex](x-3)^2+(y-9)^2=169[/tex].
if the sides of a triangle are in the ratio 3:4:5, prove that it is
right-angled triangle
Answer:
hope this helps
Step-by-step explanation:
Let a , b , c are three sides of a triangle
a : b : c = 3 : 4 : 5
a = 3x ,
b = 4x ,
c = 5x
a² = 9x²
b² = 16x²,
c² = 25x².
c² = a² + b²
by the pythagorean theorem,
a , b , c forms a right angled Triangle.
Answer:
yes it's a right angle triangle
Step-by-step explanation:
Given the sides are in the ratio 3:4:5.
Let ABC be the given triangle.
Let the sides be 3x,4x and hypotenuse be 5x.
According to Pythagoras theorem,
AC
2
=BC
2
+AB
2
BC
2
+AB
2
=(3x)
2
+(4x)
2
=9x
2
+16x
2
=25x
2
AC
2
=(5x)
2
=25x
2
AC
2
=BC
2
+AB
2
Hence ABC is a right angled triangle
Match each fraction with the reduced, equivalent fraction.
Which of the following r-values represent perfect correlation coefficients
PLEASE
Answer:
1.00 and -1.00
Step-by-step explanation:
A correlation of 0.0 shows no linear relationship between the movement of two variables.
And the values range between -1.00 and 1.00
Line 2 shows position data for an object that is speeding up. Use the centimeter ruler to measure the distance of each dot from dot 1, and record it in the table
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
explanation: This is the edmentum answer
Answer:
1= 0
2= 0.5
3= 1.5
4= 3
5= 5
6= 7.5
7= 10.5
8= 14
Step-by-step explanation:
The Suarez family paid $12.00 for 3 movie tickets. How much would they have paid for 9 tickets?
Answer:
$36 (see below)
Step-by-step explanation:
First, you have to find how much they paid for one ticket.
If they paid $12 for 3, then they paid $4 for 1.
You could've also use a ratio:
$12 $x
-------- = --------
3 1
Cross multiply:
$12 (1) = $3x
$12 = $3x
$4 = x
So $4 for 1 ticket.
To find the cost of 9 tickets, just multiply the price by the number of tickets, which is:
$4 (9) = $36
omggggggggg please please help meeeeeeeeee
Answer:
9
Step-by-step explanation:
9-7= 2
2<3
Answer: B
x < 10
Step-by-step explanation:
X - 7 < 3
X < 3 + 7
X < 10
The cost price of a boat is marked up by 8%.
a. Calculate the cost price if the marked up price is $43200.
Answer:
$40000
Step-by-step explanation:
The formula is x*1.08 = 43200. If you want to find the original price then isolate x. x*1.08 = 43200 -> x = 40000.
Graph the inequality on the number line. m≥2-3
Answer:
Step-by-step explanation:
m ≥ 2-3
m ≥ -1 (graph this on a number line)
(BRAINLIEST IF CORRECT HURRY!)
Chris wraps presents at a local gift shop. If it takes 1.3 meters of wrapping paper per present, how many can Chris wrap if he has 50 meters of wrapping paper?
A. 37
B. 38
C. 40
D. 41
Answer:
B) 38
Step-by-step explanation:
Divide 50 by 1.3 to find how many presents Chris can wrap. It comes out to approximately 38.46, but because Chris cannot wrap 0.46 of a present, he can wrap up to 38 presents.
y = 5x – 2
y = x + 6
What’s the Solutions