Answer:
The perimeter of the big rectangle is 38 cm
Step-by-step explanation:
Rectangle 1 and rectangle 2 share the same width, let their width be a cm while Rectangle 3 and rectangle 4 share the same width, let their width be b cm
Rectangle 1 and rectangle 3 share the same length, let their length be x cm while Rectangle 2 and rectangle 4 share the same length, let their length be y cm
The perimeter of a rectangle = 2(length + breadth).
For rectangle 1:
Perimeter = 2(a + x) = 10
a + x = 5 1)
For rectangle 2:
Perimeter = 2(a + y) = 20
a + y = 10 2)
For rectangle 3:
Perimeter = 2(b + x) = 28
b + x = 14 3)
For rectangle 4:
Perimeter = 2(b + y) = 18
b + y = 9 4)
Adding equations 1, 2, 3 and 4 gives:
a + x + a + y + b + x + b + y = 5 + 10 + 14 + 9
a + a + b + b + x + x + y + y =38
2a + 2b + 2x + 2y = 38
2((a + b) + (x + y)) = 38
For the big rectangle, let its width = c = a + b and its length be d = x + y
The perimeter of the big rectangle = 2 (c + d)
Therefore:
2((a + b) + (x + y)) = 38
2(c + d) = 38 cm = The perimeter of the big rectangle
The perimeter of the big rectangle is 38 cm
Find the equation of the circle whose center and radius are given. Center:(-2,-5) Radius=1
Answer:
( x+2)^2 + (y+5)^2 = 1
Step-by-step explanation:
The equation of a circle can be written in the form
( x-h)^2 + (y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -2)^2 + (y- -5)^2 = 1^2
( x+2)^2 + (y+5)^2 = 1
Answer:
[tex](x + 2)^{2} + (y + 5)^{2} = 1[/tex]
Step-by-step explanation:
The guy above is correct! I just finished the quiz and checked the answer key.
I really need help with this question! Please help me!!!
Answer:
42°
Step-by-step explanation:
AD bisects ∠CAB, which means it splits ∠CAB into two equal parts. ∠CAB equals 84°. 84° ÷ 2 = 42°.
Find the product.
7xy(3x2y3)
PLEASES HELP!!! ASAP!!!
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
Answer:
21x^3y^4
Step-by-step explanation:
Multiply each term:
21x^3y^4
Plz mark me brainliest!!
hi again here's the picture
Answer:
351.88 mStep-by-step explanation:
Given,
D = diameter of semicircular part = 42 m
L = Length of straight part = 110 m
Now, let's find the perimeter:
= 2 ( length of semi-circle + length of straight part )
[tex] = 2( \frac{\pi \: d}{2} + l)[/tex]
Plug the values
[tex] = 2( \frac{3.14 \times 42}{2} + 110)[/tex]
Calculate the product
[tex] = 2( \frac{131.88}{2} + 110)[/tex]
Divide
[tex] = 2 (65.94 + 110)[/tex]
Calculate the sum
[tex] = 2 \times 175.94[/tex]
Calculate
[tex] = 351.88 \: m[/tex]
Hope this helps..
Best regards!!
Answer:
351.88 m²
Step-by-step explanation:
diameter of the semicircle=42 the radius=42/2=21
perimeter of circle=2π r=2(3.14(21))= 131.88(since you have two semi-circle,then it is a full circle)
perimeter of the rectangle: 2(110)=220( the width used to measure the perimeter of the circle)
the area of the track=131.88+220=351.88
origin is the corner of square whose one side is 3 X + 4 Y + 5 = 0 find its area.
options:
a.1
b.2
c.3
d.4
Answer:
The correct option is;
a. 1
Step-by-step explanation:
Given that the origin (0, 0) is the corner of the square
The equation of one of the sides = 3·X + 4·Y + 5 = 0
Therefore, we have;
Y = -3/4·X - 5/4
Which gives the slope as -3/4 and the y-intercept as (0, -5/4)
The sloe of the perpendicular side from the origin to the given line is therefore = -(1/(3/4)) = 4/3
The y-intercept of the current particular perpendicular side = 0
The equation is therefore;
y = 4/3·x + 0
The coordinate of the point of intersection of the two sides of the square above is found by equating the two lines to each other as follows;
4/3·x = -3/4·X - 5/4
4/3·x + 3/4·X = -5/4
25/12·X = -5/4
X = -5/4×12/25 = -3/5
Y = 4/3·x = 4/3× (-3/5) =-4/5
The length of a side = √((-3, 5) - 0)² + ((-4, 5) - 0)² = √1 = 1
The area of a square = (Length of side) × (Length of side)
∴ The area of the square = 1 × 1 = 1
The area of the square = 1.
Please answer it now in two minutes
Answer:
m∠F = 20.6°
Step-by-step explanation:
In the given right triangle ΔHGF,
∠G = 90°
By applying tangent rule in the triangle,
tan(∠F) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{\text{HG}}{\text{GF}}[/tex]
= [tex]\frac{3}{8}[/tex]
= 0.375
m∠F = [tex]\text{tan}^{-1}(0.375)[/tex]
= 20.556°
= 20.6°
Therefore, measure of angle F is 20.6°
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answer:6 a p e x
Step-by-step explanation:
Write the following phrase as an expression. "7 more than n"
Answer:
7+n
Step-by-step explanation:
More indicates that we are adding an amount to n.
So since it is 7 more, we need to add 7 to n.
Note that an expression does not include an equal sign, so we are done.
Other commonly seen phrases are:
less than -> indicates subtraction
product of -> indicates multiplication
divided by -> division
Alexandria is practicing her long distance running. On day 0, she can run 2 miles without stopping. She wants to add 1/4 mile to her run each day.
What is the slope for this linear relationship?
Answer:
slope = 1/4
Step-by-step explanation:
If a equation is in form of y = mx + c
them m is the slope of line.
____________________________________________
Let Y(d) be the distance ran by Alexandria on dth day
Y(0) = 2
she adds 1/4 miles each day then
Y(1) = 2 + 1/4
Y(2) = 2 + 1/4 +1/4 = 2 +1/4(2)
Y(3) = 2 + 1/4 +1/4 +1/4= 2 +1/4(3)
.
.
.
.
similarly
in d days she can run 2 miles + 1/4*d miles
thus, we have
Y(d) = 2 + 1/4(d)
it can be also solved
Thus we see that it is a linear relationship y = 2 + 1/4(d)
which is in the form of y = mx + c
comparing mx to 1/4 d
we have m = 1/4
thus,
slope of this linear relationship is 1/4
What is 30% of 80? show two strategies for solving this problem
by both directly multiplying 0.3(80) AND setting up equivalent ratios and solving with cross products
30/100= x/80. You
must show all of your work!
Answer:
24
Step-by-step explanation:
30/100=x/80
cross multiply:
100x=2400
divide by 100:
x=24
Not quite sure how you want me to explain the other way step by step... Hope this helps!
80*.3=24
A circular track is 1000 yards in circumference. Cyclists A, B, and C start at the same place and time, and race around the track at the following rates per minute: A at 700 yards, B at 800 yards, and C at 900 yards. What is the least number of minutes it mus take for all three to be together again?
Answer:
B gains 100 yards every minute. So, after 10 minutes, B has lapped A once.
C gains 100 yards on B every minute, so after 10 minutes C has lapped B.
Thus, after 10 minutes, A has gone 7 laps, B has gone 8 laps, C has gone 9 laps, and all are even again.
A 40 ft board is cut into two pieces so that one piece is 8 ft longer than the other piece. Find the length of the two pieces
Answer:
16 and 24 ft
Step-by-step explanation:
If we call the length of one piece x, the length of the other piece is x + 8, therefore, we can write the following equation:
x + x + 8 = 40
2x + 8 = 40
2x = 32
x = 16 so x + 8 = 16 + 8 = 24.
Answer:
24 and 16
Step-by-step explanation:
x + x+8=40
2x+8=40
2x=32
x=16
16 and 24
can anyone help me with this Function
Answer:
[tex]\Large \boxed{\sf \ \ 6x^2-2x-6 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex](f-g)(x)=f(x)-g(x)=6x^2-4-(2x+2)\\\\=6x^2-4-2x-2=\large \boxed{6x^2-2x-6}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = [tex]\frac{1}{2}[/tex](GH + EF) = [tex]\frac{1}{2}[/tex] (90 + 45)° = 0.5 × 135° = 67.5°
It is believed that 30% of the people in Washington state want cell phone use banned in cafes. The CEO of a major coffehouse chain in Seattle wonders whether the opinion of the people who go to her cafes is different from the overall population. She hires a polling agency to investigate this issue. In a random sample of 1450 individuals, 474 people have the same opinion as the overall population. What is the p-value?
Answer:
The p-value is 0.025
Step-by-step explanation:
Given that:
30% of the people in Washington state want cell phone use banned in cafes
sample size N = 1450
X = 474 people have the same opinion.
The objective is to calculate the p-value.
Let's assume the level of significance = 5% = 0.05
From the information given ; the null and alternative hypothesis can be computed as:
[tex]\mathbf{H_o: p = 0.30 } \\ \\ \mathbf{H_a: p \neq 0.30}}[/tex]
USING MINITAB; the simulation on what we compute on our MINITAB can be written as:
Test for p = 0.3 vs p not = 0.3
Sample X N Sample p 95 C.I Z-value P-value
1 474 1450 0.326897 (0.302752, 0.351041) 2.23 0.025
From what we have in our MINITAB Output;
Z - value = 2.23
P-Value = 0.025
p=E/x+Y express x in terms of p,e and y
Answer:
x = E/(p - y)
Step-by-step explanation:
p - y = e/x
x(p-y) = e
x = e/(p-y)
Answer:
Hey there!
p=e/x+y
p-y=e/x
x(p-y)=e
x=e/(p-y)
Hope this helps :)
What is the probability that both of Eduardo's partners for the group project will be girls? StartFraction 9 Over 65 EndFraction StartFraction 24 Over 65 EndFraction StartFraction 64 Over 169 EndFraction StartFraction 128 Over 325 EndFraction
Answer:
StartFraction 24 Over 65 EndFraction
Step-by-step explanation:
Total number of students = 26
Number of boys = 10
Number of girls = 26-10
=16
Eduardo has to pull two names out of the hat without replacing them.
First name
Probability= Favourable outcome/Total outcome
Probability of girls=16
Total probability=26
Eduardo has to pull two names out of the hat without replacing them.
Probability= Favourable outcome/Total outcome
=16/26
=8/13
For the second name:
Without replacement of the first hat
Probability of girls=16-1=15
Total probability=26-1=25
Probability= Favourable outcome/Total outcome
=15/25
=3/5
Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5
=24/65
StartFraction 24 Over 65 EndFraction
Answer:
B.) 24/65
Step-by-step explanation:
Took the test
Help I will mark brainliest
Answer:
A.{7}^{15}
[tex]4.7475615 {}^{12}[/tex]
Step-by-step explanation:
[tex]( {7}^{5} ) {}^{3} = {7}^{5} =(16807) {}^{3}=4.7475615 {}^{12} [/tex]
Hope this helps ;) ❤❤❤
Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?
Answer:
a = 55° and b = 60°
Step-by-step explanation:
→ Remember 2 key points about angles
Angles in a triangle add up to 180°Alternate angles are equal→ Angle a is alternate to 55° so using the 2nd point,
a = 55°
→ Remember the fact that angle in a triangle add up to 180°
55° + 65° + b = 180°
→ Collect the whole numbers
120° + b = 180°
→ Minus 120° from both sides to isolate b
b = 60°
The solution is : the measures of angles A and B are:
A = 55° and B = 60°
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
We know that 55+ b+ other angle = 180 since they make a straight line
The other angle = 65 since they are alternate interior angles
55+ B+ 65 = 180
Combine like terms
120 + B = 180
B = 60
A + B + 65 = 180
interior angles of a triangle must equal 180 degrees
A +60+ 65 =180
Combine like terms
A +125 = 180
A = 55
Hence, The solution is : the measures of angles A and B are:
A = 55° and B = 60°
To learn more on angle click:
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Find the derivative of f(x) = negative 9 divided by x at x = -4. 4 divided by 9 16 divided by 9 9 divided by 16 9 divided by 4
Answer:
ﾠﾠﾠﾠﾠﾠﾠﾠ
Step-by-step explanation:
ﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠﾠ
Answer:
9/16
Step-by-step explanation:
how to do this question plz
Answer:
[tex]=3/4[/tex]
Step-by-step explanation:
[tex]\frac{4\sqrt{18}}{16\sqrt{2}}[/tex]
First, simplify the fraction:
[tex]=\frac{\sqrt{18}}{4\sqrt2}[/tex]
Now, simplify the radical in the numerator (the radical in the denominator cannot be simplified:
[tex]\sqrt{18}=\sqrt{9\cdot2}=\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}[/tex]
Substitute:
[tex]=\frac{3\sqrt{2}}{4\sqrt{2}}[/tex]
The radicals cancel:
[tex]=3/4[/tex]
248 miles per hour = x meters per second. Round to the nearest hundredth.
Answer:
110.87 m/sStep-by-step explanation:
This problem is based on unit conversion from miles per hour to meter per second.'
From tables 1 mph= 0.44704 m/s
Given 248 mph to be converted to meters per second.
hence we have
1 mph= 0.44704 m/s
248 mph= x
cross multiplying we have
x= 110.86592 m/s
to the nearest hundreth we have
110.87 m/sfirst correct answer gets best marks and it doesn't have to be long just a quick answer that's it
Answer:
see below
Step-by-step explanation:
-3.55 g≤ -28.4
Divide each side by -3.55, remembering to flip the inequality
-3.55 g/-3.55≥ -28.4/-3.55
g≥8
Closed circle at 8 and the line goes to the right
The cost of a cell phone bill (C) increases when the number of text messages (T) increases. Write the correct equation for this scenario, and solve for the cost when the number of texts is 4.
Answer:
[tex]c = \frac{2}{5} t[/tex], if the number of texts is 4, then the cost is $1.60.
Step-by-step explanation:
If 2 texts costs $5, then each text costs $[tex]\frac{2}{5}[/tex].
So, we can setup the equation to [tex]c = \frac{2}{5} t[/tex].
If the number of texts is 4, we can substitute that into our equation.
[tex]c = \frac{2}{5} \cdot 4[/tex]
[tex]c = \frac{8}{5}[/tex]
[tex]c = 1.60[/tex]
Hope this helped!
Please answer it now in two minutes
Answer:
0.9
Step-by-step explanation:
This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.
Answer:
59 degrees
Step-by-step explanation:
Sin = opposite / hypotenuse
In this case sin is 6/7
To find the angle of this we need to use the arcsin, or sin^-1 function
Arcsin(6/7) = 58.9972809 degrees
This gets rounded to 59 degrees
A supermarket sells fruit snacks by the box. Each box holds x packages of strawberry snacks and y packages of cherry snacks. Nina bought 6
boxes.
Write two expressions for how many more strawberry packages than cherry packages Nina bought. Then, write what the two expressions
being equivalent means in terms of the situation.
( PLZ I NEED HELP WITH THIS !)
Answer:
The two equivalent expressions are 6(x − y) and 6x − 6y.
Step-by-step explanation:
The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes. That's the same as finding the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression.
Have a good day!<3
The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.
What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes then it will be as;
6(x-y)
Now, the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression will be;
6x - 6y
The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.
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The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model Upper A equals 5 comma 500 e Superscript 0.065 t Baseline . How much did you initially invest in the account?
Answer:
initial investment in the account is 5500.
Step by step Explanation:
exponential growth model provide details of what happens when the same number is multiplied over and over again, it's applications can be found in economics and science generally.
Exponential models gives situations when the rate of change of a particular thing is directly proportional to how much of that thing is.
the given equation becomes A = 5500 * e^(0.065* T)
But an exponential growth equation can be expressed in this form F = P * e^(RT)
Where F = the future value
P = the present or initial value
R = interest rate per time period
T = number of time periods
From the given equation in the question, we can see that
F = A which is the future value
P = 5500 which is the present or initial value.
R = 0.065 which is interest rate per time period
Therefore, your initial investment in the account is 5500.
Find the length of AB , given A(5,-2) and B(-3,-4)
Answer:
sqrt(68) is the length.
Step-by-step explanation:
For this you will use the distance formula, sqrt((x2-x1)^2+(y2-y1)^2)
So for this it is sqrt((5+3)^2+(-2+4)^2)
sqrt(64+4)
sqrt(68)
8.246
Drag the tiles to the correct boxes. Not all tiles will be used. Consider the following function: f(x) = -3/4x+9. Place the steps for finding f^-1(x) in the correct order.
Answer:
The steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
f(x) = –3/4x + 9
The inverse, f¯¹(x) of the above expression can be obtained as follow:
f(x) = –3/4x + 9
Let y = f(x)
y = –3/4x + 9
Interchange x and y
x = –3/4y + 9
Making y the subject of the expression, we have:
x = –3/4y + 9
Rearrange
x – 9 = –3/4y
Cross multiply
4(x – 9) = –3y
Divide both side by –3
–4/3(x – 9) = y
Clear bracket
y = –4/3x + 12
Replace y with f¯¹(x)
f¯¹(x) = –4/3x + 12
Therefore, the steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Answer:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
f(x) = –3/4x + 9
The inverse, f¯¹(x) of the above expression can be obtained as follow:
f(x) = –3/4x + 9
Let y = f(x)
y = –3/4x + 9
Interchange x and y
x = –3/4y + 9
Making y the subject of the expression, we have:
x = –3/4y + 9
Rearrange
x – 9 = –3/4y
Cross multiply
4(x – 9) = –3y
Divide both side by –3
–4/3(x – 9) = y
Clear bracket
y = –4/3x + 12
Replace y with f¯¹(x)
f¯¹(x) = –4/3x + 12
Therefore, the steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
−2(x−7)+3(x+5)=x+9 PLEASE HELP
Answer: no solution
Step-by-step explanation:
-2(x-7)+3(x+5)=x+9
Distribute
-2x+14+3(x+5)=x+9
Distribute
-2x+14+3x+15=x+9
Combine like terms
x+29=x+9
Subtract(x)
29=9
Because 29 does not equal 9, the equation has no solutions
Hope it helps <3
Answer:
There is no solution.
Step-by-step explanation:
[tex] - 2(x - 7) + 3(x + 5) = x + 9[/tex]
Distribute -2 through the parentheses
[tex] - 2x + 14 + 3(x + 5) = x + 9[/tex]
Distribute -3 through the parentheses
[tex] - 2x + 14 + 3x + 15 = x + 9[/tex]
Collect like terms
[tex]x + 14 + 15 = x + 9[/tex]
Add the numbers
[tex]x + 29 = x + 9[/tex]
Cancel equal terms on both sides of the equation
[tex]29 = 9[/tex]
The statement is false for any value of x
x ∈ ∅
Hope this helps..
Best regards!!