Answer:
6m by 9 m
Step-by-step explanation:
x = one side of the rectangle
x+3 = other side
The perimeter of a rectangle is
P = 2(l+w)
P =2( x+ x+3)
P = 2(2x+3)
30 = 4x+6
30 -6 = 4x
24 = 4x
Divide by 4
24/4 = 4x/4
6 =x
One side is 6 and the other is 6+3 or 9
The cars of a circular Ferris wheel at an amusement park are equally spaced about the wheel's circumference. They are numbered consecutively beginning with 1. The cars numbered 14 and 30 lie on opposite ends of a diameter. How many cars are on the Ferris wheel?
Answer:
32 cars
Step-by-step explanation:
we know that 14 and 30 lie on opposite sides of the ferris wheel, so we need to calculate how many cars are inbetween car number 14 and carn number 30. since each car is numbered starting from 1, we know that the cars do not skip any numbers. after counting, we know that there are 16 cars inbetween car number 14 and car number 30. since there are 2 sides of a circle we have to double our number by 2. so 16×2 is 32
Math step-by-step:
30-14=16
16×2=32
Which shows one way
to determine the factors of x3 - 12x2 - 2x + 24 by grouping?
Answer:
[tex]x^3 - 12x^2 - 2x + 24[/tex]
[tex]x^2(x - 12) - 2(x -12)[/tex]
[tex](x - 12)(x^2 -2)[/tex]
Step-by-step explanation:
Answer:
[tex](x^2-2)(x-12)=0[/tex]
Step-by-step explanation:
Factoring by grouping is a way of determining the factors of a polynomial equation. One firsts groups terms by putting them in parenthesis. Then one will take a common factor out of the parenthesis. Finally, one will group the coefficients and the grouped terms respectively, thus rewriting the polynomial equation as the product of its factors.
One is given the following equation:
[tex]x^3-12x^2-2x+24=0[/tex]
Group the different terms in the equation:
[tex](x^3-12x^2)+(-2x+24)=0[/tex]
Factor, write a common factor that both terms in the parenthesis share, outside of the parenthesis.
[tex]x^2(x-12)-2(x-12)=0[/tex]
Factor the equation again. Group the like terms together, and the coefficients together.
[tex](x^2-2)(x-12)=0[/tex]
If ABCD is dilated by a factor of 2, the
coordinate of A' would be:
Answer: -5, -1
Step-by-step explanation:
Ryan rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 74 cents for each mile driven. Ryan had to pay $133.17 when he returned the truck. For how many miles did he drive the truck?
Answer:
157 miles
Step-by-step explanation:
total cost = flat fee + cost per mile * miles
133.17 = 16.99 + .74 * m
Subtract 16.99 from each side
116.18 = .74m
Divide each side by .74
116.18 / .74 = .74m/.74
157 = m
Mr. James asked his students that which of the following equations can be formed using the expression x = 5:
a)2 x + 3 = 13
b)3x + 2 = 13
c)x –5 =
1d)4x –9 = 21
Answer:
[tex]2x + 3 = 13 \\ 2 \times 5 + 3 = 15 \\ 10 + 13 = 15 \\ 23 = 15 \\ 23 - 15 = 8 \\ \\ 3x + 2 = 13 \\ 3 \times 5 + 2 = 13 \\ 15 + 2 = 13 \\ 17 - 13 \\ = 4 \\ \\ x - 5 = 0 \\ 5 - 5 = 0 \\ 0 = 0 \\ \\ 4x - 9 = 21 \\ 4 \times 5 - 9 = 21 \\ 20 - 9 = 21 \\ 21 - 11 \\ = 10[/tex]
Which of the following steps is involved in solving 3 x plus 8 equals 14 ?
A. 3 x plus 8 minus 8 equals 14
B. 3 x plus 8 equals 14 minus 8
C. 3 x plus 8 plus 8 equals 14 plus 8
D. 3 x plus 8 minus 8 equals 14 minus 8
Answer:
3 x plus 8 minus 8 equals 14 minus 8
Step-by-step explanation:
3x+8 = 14
Step 1 subtract 8 from each side
3x+8-8 = 14-8
12 120° 3 3 Fig. 12.51 Calculate the area of the shaded segment in Fig. 12.51. (Leave your answer in terms of .) [JAMB]
Answer:
[tex]\text {The \ area \ of \ the \ shaded \ segment, A} = 3 \cdot \pi - \dfrac{9}{4} \cdot \sqrt{3}[/tex]
Step-by-step explanation:
The details of the circle that has the shaded segment, and the segment are;
The radius of the circle, r = 3
The angle of the arc of the segment, θ = 120°
The area of a segment, A, is given as follows;
[tex]A = \dfrac{\theta}{360^{\circ}} \times \pi \times r^2 - \dfrac{1}{2} \times r^2 \times sin(\theta)[/tex]
The area of the given segment is therefore;
[tex]A = \dfrac{120^{\circ}}{360^{\circ}} \times \pi \times 3^2 - \dfrac{1}{2} \times 3^2 \times sin(120^{\circ}) = \dfrac{12\cdot \pi-9\cdot \sqrt{3} }{4} = 3\cdot \pi - (9/4)\cdot \sqrt{3}[/tex]
You have 80$ panted cost 29$ And shirts cost 12$. Mom told you to buy one pair of pants and use the rest of the money to buy shirts. Use this information to write and solve and inequality how many shirts can you buy
Answer: 4 Shirts
Step-by-step explanation:
Given
Person has [tex]\$80[/tex]
Pant costs [tex]\$29[/tex] and shirt costs [tex]\$12[/tex]
Suppose [tex]x\ \text{and}\ y[/tex] as number of pant and shirts
Spent money must be equal or less than the total money. The inequality becomes
[tex]\Rightarrow 80\geq29x+12y[/tex]
For 1 pair of pants that is, 1 pants
[tex]\Rightarrow 80\geq 29+12y\\\Rightarrow 51\geq 12y\\\Rightarrow 4.25\geq y[/tex]
That is maximum number of shirts that can be bought are 4.
the area of a rectangle is given by 6x²+19x+15. factor to find binomial that represent the length and width of the rectangle.
Answer:Explanation:
Step-by-step explanation:Explanation:
We have that
6
x
2
+
19
x
+
15
=
6
x
2
+
10
x
+
9
x
+
15
=
2
x
⋅
(
3
x
+
5
)
+
3
⋅
(
3
x
+
5
)
=
(
2
x
+
3
)
⋅
(
3
x
+
5
)
Answer:
Step-by-step explanation:
6x² + 19 x +15 can be factor as (x-root1 )( x-root2)* coefficient of x²
use quadratic equation to fid the roots, x = (-b±√b²-4ac)/2a
6x² + 19 x +15 =0
x= (-19 ±√19²-4*6*15) / 2*6
x= (-19 ± √1)/ 12
x= (-19+ 1)/12 = -18/12 = -3/2
and
x= (-19-1)/12 = -20/12 = -5/3
6x² + 19 x +15 = 6*(x+(3/2)) (x+(5/3))
the length and with of the rectangle could be any combination of the factors of 6 and the (x+(3/2)) (x+(5/3))
if we consider 6 =2*3 we have length and width 2x+3 and 3x+5
because 2*[x+(3/2)]*3[ x+(5/3)]
if we consider 6 = 3*2 we have length and width 3x+(9/2) and 2x+(10/3)
because 3*[x+(3/2)]*2[ x+(5/3)]
if we consider 6= 6*1 we have length and width 6x+9 and x+(5/3)
because 6*[x+(3/2)]*1[ x+(5/3)]
if we consider 6= 1*6 we have length and width x+(3/2) and 6x+10
because 1*[x+(3/2)]*6[ x+(5/3)]
help me pleaseeeeeeeeeee
Answer:
top left questions answer is B
the area of the triangle is A
Volume of the cylinder is B
The area of the triangle for q 17 is A
Answer:
1. b
2.a
17.c
Step-by-step explanation:
Is the relationship shown by the data linear? If so, model the data with an equation. x y –7 5 –5 9 –3 13 –1 17
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula. we get
[tex]\dfrac{9-5}{-5-(-7)}=2[/tex]
[tex]\dfrac{13-9}{-3-(-5)}=2[/tex]
[tex]\dfrac{17-13}{-1-(-3)}=2[/tex]
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=2(x-(-7))[/tex]
[tex]y-5=2(x+7)[/tex]
[tex]y-5=2x+14[/tex]
Adding 5 on both sides, we get
[tex]y-5+5=2x+14+5[/tex]
[tex]y=2x+19[/tex]
Therefore, the equation for the given data is [tex]y=2x+19[/tex].
Given: `bar(DE)` and `bar(DF)` are midsegments of `Delta` ABC as shown. Prove: A midsegment of `Delta`ABC is half the length of the side of `Delta`ABC to which it is parallel. Match each statement to its corresponding reason. Scroll down to see all the choices. Drag the items on the left to the correct location on the right.
Answer:
here
Step-by-step explanation:
In Owen's class, there are 15 girls and 12 boys. Write the ratio of boys to girls.
Answer:
4 : 5
Step-by-step explanation:
boys : girls
12 15
Divide each by 3
12/3 : 15/3
4 : 5
Answer: 4:5
Step-by-step explanation:
To simplify the ratio 12:15, divide both numbers by the GCF of the 2 numbers (3). This gives you the simplified ratio, 4:5.
Find the value of x given in the right triangle
Answer:
44.4
Step-by-step explanation:
Using SOH
sin(x)=7/10
x= 44.427
Answer:
x ≈ 44.4°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{10}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{7}{10}[/tex] ) ≈ 44.4° ( to the nearest tenth )
Pages 1 - 5:
Suppose f(x) = 6x-2 and g(x) = 2x+4 . Find each of the following functions.
a. (f +9)(x)
b. (f-9))
Answer:
8x + 2 and 4x - 6
Step-by-step explanation:
(f + g)(x)
= f(x + g(x)
= 6x - 2 + 2x + 4 ← collect like terms
= 8x + 2
(b)
(f - g)(x)
= f(x) - g(x)
= 6x - 2 - (2x + 4) ← distribute parenthesis by - 1
= 6x - 2 - 2x - 4 ← collect like terms
= 4x - 6
Match each cone's measures to its corresponding volume.
Answer:
base area=16π in² height=6 in ⇒ base area= πr²
16π²=π(r)²
r=4 in
v=1/3 ×π (4)²×(6)
v=32π in²
-------------
v=1/3 π(12/2)²×5
v=1/3π(31)×5=
v=60π in³
-------------
v=1/3 π×(25×4)=
v=100π/3 in³
OAmalOHopeO
Question 1 of 10
Classify the following triangle. Check all that apply.
121
11
599
70
10
A. Equilateral
B. Obtuse
C. Isosceles
D. Scalene
E. Acute
OF Right
PREVIOUS
Answer:
Acute and scalene
Step-by-step explanation:
All the three interior angles of triangle are less than 90 then it is an acute triangle.
All the sides have different length then it is Scalene triangle. In Scalene triangle, all the sides have different length and so all the angles are of different
Explanation:
You have the right idea. The triangle is acute since all three angles are less than 90 degrees. The triangle is also scalene because all three sides are different lengths.
For a triangle to be equilateral, the three sides must be the same length. So we can rule out choice A.
We can rule out choice B since none of the angles are larger than 90 degrees. This contradicts choice E.
We can rule out choice C because we don't have exactly two sides the same length. This contradicts choice D.
We can rule out choice F because we don't have a 90 degree angle. This contradicts choice E.
CANNNN SOMEONEEEEE HELPPPP MEEE OUTTTTT !!!!!
Answer:
sin X = 21/ 29
Step-by-step explanation:
Since this is a right triangle
sin X = opp side/ hypotenuse
sin X = 21/ 29
Answer:
[tex]\boxed{\sf sinX =\frac{21}{29}}[/tex]
Step-by-step explanation:
We need to find out the value of sinX using the given triangle . Here we can see that the sides of the triangle are 21 , 29 and 20.
We know that the ratio of sine is perpendicular to hypontenuse .
[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]
Here we can see that the side opposite to angle X is 21 , therefore the perpendicular of the triangle is 21. And the side opposite to 90° angle is 29 . So it's the hypontenuse . On using the ratio of sine ,
[tex]\sf\longrightarrow sinX =\dfrac{ p}{h}=\dfrac{ZY}{ZX}[/tex]
Substitute the respective values ,
[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ X =\dfrac{21}{29}}}[/tex]
Hence the required answer is 21/29 .
Find the surface area and the volume of the prism.
10
26
18
The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer:
Step-by-step explanation:
I answered this in your question from yesterday. See #24317186
PERE
Given: ZABC is a right angle and ZDEF is a right angle.
Prove: All right angles are congruent by showing that ZABC = ZDEF.
What are the missing reasons in the steps of the proof?
ZABC, ZDEF are
right angles
M2ABC = 90°
m2DEF = 90°
m2ABC = m_DEF
ZABC = ZDEF
Given
A
B
A:
B:
C:
Intro
Answers:
A) Definition of right anglesB) SubstitutionC) Definition of congruence=========================================
Explanation:
A) The term "right angle" is another way of saying "90 degree angle". This is a definition. Think of a definition in a dictionary. B) The substitution property allows us to replace one thing for another, as long as the two things are equal. The transitive property works as a similar idea.C) If two angles have the same measure, then they are congruent. This is the definition of congruence (or one form of it).In this exercise we have to use the knowledge of angles, in this way we can say that:
A) Right angles
B) Substitution
C) Congruence
So punctuating some necessary definitions we have that:
A) This alternative is a right angle, that is, an angle that has 90 degrees.
B) The substitution property allows us to replace one thing for another, as long as the two things are equal.
C) IIn this alternative, we are dealing with congruent angles, that is, angles that have the same measure, normally less than 90 degrees.
See more about angles at brainly.com/question/15767203
Brianna spent a total of $52 on 4 used video games. What was the average cost of a game?
$13 per game
$18 per game
$48 per game
$56 per game
plzzz helppp i need to pass this classs
Answer:
C
Step-by-step explanation:
x + 40 + 100 + x=360. (sum of angles at a point)
2x+140=360
2x=360-140
2x=220
x=220/2
x=110⁰
an object in geometry with no width, lengh or height is a(n):
Answer:
A point.
Step-by-step explanation:
An object in geometry that has width, length or height is simply a point. A point is yet just a dot.
Which is the graph of f(x) = -(x + 3)(x + 1)?
Ту
6
4
4
2
2
21
WB
2
4
B
X
6
WA
UB
-6
2
B
X
2.
-2
2
6+
2
4 6
Answer:
See attachment
Step-by-step explanation:
A function is given to us and we need to tell which graph represents the given function. The function given to us is,
[tex]\tt: \implies f(x) = -( x + 3 )( x + 1 ) [/tex]
Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,
[tex]\tt: \implies -(x +3)( x + 1 ) = 0 [/tex]
Equate each factor by 0 ,
[tex]\tt: \implies \boxed{\blue{ \tt x = -1,-3 }} [/tex]
Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .
On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .
Hence the second option is correct .
{ See attachment }
The graph of the function is graph (b)
The function is given as:
f(x) = -(x + 3)(x + 1)
The above equation means that:
The function is a quadratic functionThe function is reflected across the x-axisThe function has its zeros at x = -3 and x = 1Hence, the graph of the function is graph (b)
Read more about quadratic functions at:
https://brainly.com/question/1214333
→WILL GIVE BRAINLIEST←
In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Complete parts (a) through (c) below.
a. How many of the 3149 subjects used at least one prescription medication?
(Round to the nearest integer as needed.)
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
(Round to one decimal place as needed.)
Answer:
a. 2,727
b. (85.6%, 87.6%)
Step-by-step explanation:
The percentage of the adults aged 57 through 85 that used at least one prescription medication = 86.6%
a. The expected number of the 3,149 subjects aged 57 through 85 that used at least one prescription medication = 3,149 × 86.6/100 = 2,727.034 ≈ 2,727 (subjects)
b. The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is given as follows;
[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]
Where;
[tex]\hat p[/tex] = 86.6/100= 0.866
n = 3,149
z = The z-value at 90% confidence level = 1.645
Therefore, we get the following confidence interval of the percentage of adults (rounded to one decimal place as required);
[tex]\left (0.866 - 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}}\right) \times 100 \% \approx 85.6 \%[/tex]
[tex]\left( 0.866 + 1.645\times \sqrt{\dfrac{0.866 \times (1-0.866)}{3,149}} \right) \times 100 \% \approx 87.6 \%[/tex]
The 90% confidence interval, of the percentage C.I. ≈ (85.6%, 87.6%).
Jeffrey was feeling adventurous at lunch. Rather than choosing a single drink, he decided to mix together all the drink choices. He mixed an equal amount of 7 types of soda to fill his 12-ounce cup to the brim! How many ounces of each type of soda did Jeffrey get?
Need help with adding these!! *prob easy I’m just not good* see photo!
Answer:
2x+8w
I hope this will help you
Given that
4
x
:
3
=
6
:
5
Calculate the value of
x
Answer:
Step-by-step explanation:
4x = 6/5 * 3
4x = 18/5
x = 18/5*4 = 9 / 10 = 0.9 Ans.
Answer:
0.9 I hope it help you to do this question
Enter the equation of the line in slope-intercept form.
Slope is 4, and (5,2) is on the line.
The equation of the line is y =
Answer:
y = 4x -18
Step-by-step explanation:
y-2 = 4(x-5)
y = 4x -20+2
y = 4x -18
Answer:
y = 4x-18
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
y = 4x+b
Substitute the point in the equation and solve for b
2 = 4(5)+b
2 = 20+b
2-20 = b
-18 =b
y = 4x-18
