Step-by-step explanation:
use pythagoras theorem for finding the height
hypotenuse is 8cm
base is 4 cm
height?
a^2+b^2=c^2
64-16=a^2
a=7.07cm
Height of equilateral triangle is 7.07cm
3x + 43 = 4x + 2(4 + 2)
Answer:
x = 31
Step-by-step explanation:
[tex]3x+43=4x+2(4+2)\\\\\rightarrow 2*4=8\\\rightarrow 2*2=4\\\\3x+43=4x+8+4\\\\3x+43=4x+12\\\\3x+43-43=4x+12-43\\\\3x=4x-31\\\\3x-4x=4x-31-4x\\\\-x=-31\\\\\frac{-x}{-1}=\frac{-31}{-1}\\\\\boxed{x=31}[/tex]
Answer:
x=31
Step-by-step explanation:
first we simlify to get the simplist equation. 3x + 43 = 4x + 12. then 4x - 3x equalls and 43 - 12 equals 31.
I need help with this:What is the value of y? Enter your answer in the box. y =
Answer:
y=5 degrees
Step-by-step explanation:
It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.
4y+10=30
4y=20
y=5 degrees
I need help ASAP jsnsnsbdbsbsnsnsnd
Answer:
9 comedy
12 horror
Step-by-step explanation:
First, there are 360 degrees in a circle.
Comedy = 90 degrees
Action and romance = 90 degrees combined
Horror = 120 degree
Science fiction = 60 degrees
To find sci fi : 90 +90 +120 = 300 - 360 = 60 degrees
36 students took the survey.
1/4 × 36 = 9
Horror is 120 degrees out of 360 degrees or 1/3 of the circle.
1/3 × 36 = 12
Answer: 12 students
Step-by-step explanation:
360* circle, 1 student per 10* so 120* = 12 students.
To double check, 90* = 9 students.
Solve (x-5)^2 =3.
Help me pls
Answer:
The correct answer is C.
Step-by-step explanation:
I solved by finding for X. Hope this helps!
Answer:
option c is correct.
hope it will help u...
Can someone please help me I really need help please help me thank you
Answer:
Negative 1/300
Step-by-step explanation:
I took the qiuz
write seven hundred fifteen and one thousand one hundred fifty- three ten-thousandths as a decimal number
Answer:
715.1153
Step-by-step explanation:
write
seven hundred fifteen = 715
and
one thousand one hundred fifty- three = 1,153
ten-thousandths = 1/10,000 = 0.000 1
together = 0.1153
as a decimal number
So when added together
the number is
715.115 3
Answer:
715.1153
Step-by-step explanation:
2 Points
Find the solution(s) to the system of equations. Select all that apply.
y = x2 - 2x-3
y = 2x - 3
O A. (0,-3)
B. (-1,0)
C. (3,0)
D. (4,5)
Answer:
A (0,-3) and D(4,5)
Step-by-step explanation:
Given system of equations
y = x2 - 2x-3
y = 2x - 3
Solution to these will be value of x for which value of y in both equation will same.
In graph, solution will point at which curve of both equation intersect each other
To solve this we will equate the two equations
[tex]x^2 - 2x-3 = 2x-3\\ =>x^2 - 2x-3 -2x + 3 = 0\\=> x^2 - 2x - 2x -3 + 3 = 0\\\=> x^2 - 4x = 0\\=>x(x-4) = 0\\Thus\\x = 0 \ or \ x-4 = 0\\x = 0 \ or \ x = 4[/tex]
Thus, value of x is 0 and 4
we will put this value in given set of equation.
y = 2x- 3
taking x = 0
y = 2*0 -3 = 0-3 = -3
one solution is (0,-3)
taking x = 4
y = 2*4 - 3 = 8-3 = 5
Another solution is (4,5).
Though , the problem is solved we will see it this value satisfies other equation or not better understanding
y = x^2 - 2x-3
taking x = 0
y = 0^2 - 2*0-3 = -3
one solution (0,-3)
taking x = 4
y = 4^2 - 2*4-3 = 16-8 -3 = 8-3 = 5
other solution (4,5)
thus, we see both equation gives same set of solution.
Mark has $9.10 to buy some fruit. He wants to buy six pounds of apples, which are $0.99 a pound and as many pounds of bananas as he can, which are $0.79 a pound. How many pounds of bananas can he buy?
Answer: 4 pounds
Step-by-step explanation:
Mark has $9.10 to buy fruits.
6 pounds of apple at $0.99 will cost $5.94
Balance 9.10 - 5.94 = 3.16
Bananas are $0.79 a pound
For $3.16, he will get
3.16 / 0.79 = 4 pounds of bananas
Solve: 1.2n+1=1-n
HELP PLS ASAP WILL GIVE BRAINLIEST IF CORRECT
Answer:
Hello!
~~~~~~~~~~~~~~~~~
1.2n+1=1-n
=
n = 0
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!
Is the following number rational or irrational? 3.14/5
Answer:
A rational number is a number that can be written in the form
p
q
, where
p
and
q
are integers and
q
≠
o
.
Claim: Most adults would erase all of their personal information online if they could.
A software firm survey of 453 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Find the value of the test statistic. (Round to two decimal places as needed.)
Answer:
271.80
Step-by-step explanation:
453 ⇒ 100% x(the missing value) ⇒ 60%using the proprtionality we get
x =[tex]\frac{453*60}{100}[/tex] x = 271.80simplify.
I need this answer..
One length of a rectangular garden lies along a patio wall. However, the rest of the garden is enclosed by 32 feet of fencing. If the length of the garden is twice its width, what is the area of the garden?
Answer:
128 square feet
Step-by-step explanation:
Let the perimeter of the rectangular garden be expressed as 2(L+W)
L = length of the garden
W = width of the garden
If the length of the garden is twice its width then L = 2W; W = L/2
P = 2(L+L/2)
Since the perimeter is L + 32 (One length of a rectangular garden that lies along a patio wall and the rest of the garden is enclosed by 32 feet of fencing.)
Substituting in the formula above:
32+L = 2(L+L/2)
32+L = 2L+L
32 = 2L
L = 16 feet
Since L = 2W
W = L/2 = 16/2
Width = 8 feet
Area of the garden = Length × Width
Area of the garden = 16×8
Area of the garden = 128 square feet
The area of the rectangular garden is equal to 128 square feet.
Let the length of the rectangular garden be L.Let the width of the rectangular garden be W.Given the following data:
Perimeter = 32 + L feet.Translating the word problem into an algebraic equation, we have;
The length of the garden is twice its width:
[tex]L=2W[/tex] = [tex]W=\frac{L}{2}[/tex]
The formula for perimeter of a rectangle.Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P=2(L+W)[/tex]
Where:
P is the perimeter of a rectangle.L is the length of a rectangle.W is the width of a rectangle.Substituting the parameters into the formula, we have;
[tex]32+L=2(L+\frac{L}{2})\\\\32+L=2L+L\\\\32+L=3L\\\\3L-L=32\\\\2L=32\\\\L=\frac{32}{2}[/tex]
Length, L = 16 feet.
For the width:
[tex]W=\frac{L}{2}\\\\W=\frac{16}{2}[/tex]
Width, W = 8 feet.
Now, we can calculate the area of the rectangular garden:
[tex]Area = LW\\\\Area = 16 \times 8[/tex]
Area = 128 square feet.
Read more on area of a rectangle here: https://brainly.com/question/25292087
What is an equation of the line that is perpendicular to y + 1 = -3(x - 5) and passes through the point (4, -6)?
Answer:
Option A.
Step-by-step explanation:
y + 1 = -3x + 15
y = -3x + 14
A line perpendicular would have a slope of 1/3.
y = 1/3x + c
-6 = 1/3 * 4 + c
4/3 + c = -6
c = -18/3 - 4/3
c = -22/3
So, we have y = 1/3x - 22/3.
y + 6 = 1/3(x - 4)
y + 6 = 1/3x - 4/3
y = 1/3x - 4/3 - 18/3
y = 1/3x - 22/3
So, the correct answer is Option A.
Hope this helps!
Which is the solution to the equation 1/4x-1/8=7/8+1/2x
Answer:
x = -4
Step-by-step explanation:
Step 1: Subtract 1/2x on both sides
-1/4x - 1/8 = 7/8
Step 2: Add 1/8 on both sides
-1/4x = 1
Step 3: Divide both sides by -1/4
x = -4
Answer:
x = -4
Step-by-step explanation:
1/4x-1/8=7/8+1/2x
Add 1/8 to each side
1/4x-1/8+1/8=7/8+1/8+1/2x
1/4 x = 1 + 1/2x
Subtract 1/2x from each side
1/4x -1/2x = 1 + 1/2x -1/2x
Getting a common denominator for the x terms
1/4x -2/4x =1
-1/4x = 1
Multiply by -4
-4 * -1/4x = 1* -4
x = -4
What is the square root of 100000000?
Answer:
10,000 is the answer to ur question
Answer:
10000
Step-by-step explanation:
√100000000 = 10000
How many gallons of a 20% salt solution must be mixed with 4 gallons of a 30% salt solution to make a 25% salt solution?
Answer:
4 gallons
Step-by-step explanation:
Say that g = the number of gallons of a 20% salt solution,
The first thing we want to do here is to convert each " percentage " into decimal form, to make things a bit simpler here.
( [tex]20(percent) = 0.20[/tex]
( [tex]30( percent ) = 0.30[/tex]
( [tex]25( percent ) = 0.25[/tex]
Before this mixture takes place, the 20% salt solution is associated with g, the number of gallons of a 20% salt solution. Respectively the 30% salt solution is associated with 4 gallons. After mixing the two ( g and 4 ) the 25% salt solution should be associated with g + 4. We can therefore conclude the following equation -
0.20( g )+0.30( 4 ) = 0.25( g + 4 )
And now, let us solve for " g, "
0.2g + 1.2 = 0.25g + 1
- 0.2g = - 0.2g
_________________
1.2 = 0.05g + 1
- 1 = - 1
_________________
0.2 = 0.05g,
g = 4 gallons of a 20% salt solution
Jessica and Barry squeezed oranges for juice. Jessica squeezed 23 5 cups of juice. Barry made 1 4 cup less than Jessica. Barry estimated that Jessica squeezed about 21 2 cups of juice. Which is the best estimate for the amount of juice Barry made? 2 1/4 cups How much juice did Barry actually make? 2 and three-fifths minus one-fourth = StartFraction 13 over 5 EndFraction minus one-fourth = StartFraction 52 over 20 EndFraction minus StartFraction 5 over 20 EndFraction
Answer:
1. 2 1/4 cups
2. 2 7/20 cups
Answer:
2 1/4 and 2 7/20
Step-by-step explanation:
If the common difference of an A.P is d, find a3 – a1
Answer:
2d
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference, thus
a₃ - a₁
= a₁ + 2d - a₁
= 2d
You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a) What is the probability that you will have to wait longer than 10 minutes
Answer:
2/3
Step-by-step explanation:
You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30
that is 2 chances of you waiting longer than 10 minute
6. April works as an emergency medical technician (EMT) and is a photographer. As an EMT she earns $19 per
hour. Last week she worked t hours as an EMT and her friend paid her $100 for a photoshoot. Write an
expression to represent the total amount April earned last week.
Answer: 19t +100
Step-by-step explanation:
19t +100 where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.
Answer:
19t+100
Step-by-step explanation:
it is the amount of hours (T)*19 +100 so it is the paycheck +100 which she got from the photoshoot
Pls help me out!! Ill be so happy!! TYSM
Answer:
Hey there!
The line 4x-3y=-9 can be converted to y=mx+b form.
4x-3y=-9
-3y=-4x-9
3y=4x+9
y=4/3x+3
The slope of a line perpendicular to this line would be -3/4.
The slope of a line parallel to this line would be 4/3.
Hope this helps :)
what is the rate of change between (1,15) (3,45)?
Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
11) Forty percent of the homes constructed in the Quail Creek area include a security system. Three homes are selected at random: 1. What is the probability all three of the selected homes have a security system? 2. What is the probability none of the three selected homes have a security system? 3. Did you assume the events to be dependent or independent?
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
What is the equation of a horizontal line that passes
through the point (-4, -5)?
Answer: y=-5
Step-by-step explanation:
A horizontal line appears on the graph if it goes through the y-axis. Knowing this, the coordinate tells us that the y-coordinate is -5. This tells us that the equation of the line is y=-5.
Kyree had a summer job cutting lawns. He made $32 in June, $45 in July, and $43 in August. In September he spent $17 on school supplies and $26 on clothes. How much money does he have left?
Answer:
77
Step-by-step explanation:
you add the amount he earn which is 32+45+43 which will give you 120 and than you subtract the amount he spend which are 17 and 26, after that you will get 77 as your answer
Answer:
See below.
Step-by-step explanation:
June: $32
July: $45
August: $43
[tex]32+45+43=120[/tex]
Kyree has $120 in total.
School supplies: $17
Clothes: $26
[tex]26 +17=43[/tex]
[tex]120-43=77[/tex]
Kyree has $77 left.
:)
Line segment AB is drawn in the coordinate plane. Carlos graphed the set of points that are the same distance from both point A and point B. What did Carlos graph?
Answer:
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Step-by-step explanation:
Carlos graphed the set of points that are equidistant from both point A and point B.
Carlos graphed the perpendicular bisector of the segment that joins the two points. (a line)
Jessie recently drove to visit her parents who live 240240 miles away. On her way there her average speed was 2525 miles per hour faster than on her way home (she ran into some bad weather). If Jessie spent a total of 88 hours driving, find the two rates.
Answer:
The speed/rate to her parent's house is x = 75 mph
The speed/rate from her parent's house is y = 50 mph
Step-by-step explanation:
Given;
Distance to her parent's house = 240 miles
Total distance travelled (to and fro) = 240×2 = 480 miles
Total time taken t = 8 hours
On her way there her average speed was 25 miles per hour faster than on her way home (she ran into some bad weather)
Let x and y represent her speed to and from her parent's house respectively.
x = y+25 ......1
The time taken to her parent's house is;
time = distance/velocity
t1 = 240/x = 240/(y+25)
The time taken from her parent's house is;
time = distance/velocity
t2 = 240/y
Total time taken t = t1 +t2
t = 240/(y+25) + 240/y = 8
Solving for y ;
(240y + 240(y+25))/(y^2 +25y) = 8
Cross multiply;
240y + 240y+6000 = 8y^2 + 200y
480y +6000 = 8y^2 + 200y
8y^2 + 200y -480y -6000 = 0
8y^2 - 280y - 6000 = 0
Divide through by 8;
y^2 - 35y - 750 = 0
Solving the quadratic equation;
y = 50
or
y = -15
Velocity cannot be negative, so y = 50mph
From equation 1;
x = y+25
Substituting y =50
x = 50 + 25
x = 75 mph
The speed/rate to her parent's house is x = 75 mph
The speed/rate from her parent's house is y = 50 mph
The points on the number line represent 6.72, 6, and 6.15.
+
6
6.4
6.1
6.5
6.8
6.9
6.2
6.3
6.6
6.7
7
7
Which shows the numbers in order from least to greatest?
O 6.72, 63, 6.15
O 6.72, 6.15, 6-7
O 6.15, 6.72, 65
O 6.15, 67, 6.72
Answer:
C is the right answer for me. But im like 80% sure on that tho. Hope this helps so much! :)
Step-by-step explanation:
there are only blue, yellow and green cubes in a bag. there are three times as many blue cubes than yellow cubes and five times as many green cubes then blue cubes. what is the chance that Sarah will get the yellow cube in its simplest form.
Answer: 1/11
Step-by-step explanation:
Let x be no. of yellow cubes.
Blue = 2x
Green = 4 x 2x = 8x
Total cubes = x + 2x + 8x = 11x
P(yellow) = x / 11x = 1/11