Answer:
55.1 ft ; 236.7 ft^2
Step-by-step explanation:
radius = 7.5 ft
Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft
Perimeter of the rectangle = 4 * 2 = 8 ft
Total perimeter = 55,12389 ft
Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2
Area of the rectangle = 4 * 15 = 60 ft^2
Total area = 236,714587 ft^2
Assignment - 3. Deductive Reasoning
State a true conclusion.
1) If two planes intersect, their intersection is a line.
2) Plane Rand plane S intersect.
Conclusion:
WRITER
Answer:
the answer is the intersection is a line
hey yall heres another question i need the answer to ASAP !!!!!
Type the correct answer in each box.
The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.
the question marks stand for where the answers should go.
Answer:
girth is better than length. your welcum ;)
SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.
Answer:
D
Step-by-step explanation:
Given y varies directly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then
[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )
[tex]\frac{2}{3}[/tex] = k
y = [tex]\frac{2}{3}[/tex] xz ← equation of variation
When x = 6 and z = 3 , then
y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Answer:
the answer to this question is
d.)y=⅔xz;y(6,3)=12
The base of a triangle is 20m and its area is 250m.What is the height of the triangle
Answer:
the height of the triangle is 25
Answer:
height = 25 m
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 250 and b = 20 , then
[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is
10h = 250 ( divide both sides by 10 )
h = 25 m
through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
f(x) = x2. What is g(x)?
5
[ f(x)
g(x)
(3,3)
X
-5
5
x2
O A. g(x)=1
-02-G
B.
X
O c. g(x) = 3²
O D. g(x)=-* x2
Please help :/
The function g(x) = x²/3
Given that graph of the function f(x) = x²,
Since, the graph of f(x) is transformed to form the g(x).
We see that g(x) is passing by (3, 3)
Here, the scale factor is 1/3,
So, we can say that the equation of the function g(x) is g(x) = x²/3
Therefore, the required function is g(x) = x²/3
Learn more about function click;
https://brainly.com/question/12431044
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118°
D
B
angle C= ?
can anybody help pls?
Answer:
∡ c = 118°
Step-by-step explanation:
angle c is 118 degree (being vertically opposite angle)
∡ c = 118°
Answer:
118
Step-by-step explanation:
there is a property that i can't remember the name of that is dealing with angles across a flat line.
another way, is that 118+D=180, so D is 62
so that means D + C = 180, where D is 62 so C must be 118
WILL MARK BRANLIEST
When describing a rotation, what
information must you include?
Answer:
The point you are rotating at (also called the centre of rotation)
The angle of rotation (usually in degrees but I don't know your school)
Direction of the turn
Step-by-step explanation:
expression of three power of five rational number with a negative exponent is?
answer with step by step explanation
Answer:
[tex]\frac{1}{243}\\[/tex]
Step-by-step explanation:
The expression of three power of five rational number with a negative exponent is;
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
22 - 8x = -5x - 14
Find x
Please help this is due today
write an equation to find x, then solve for angle measure A. 25 points.
Answer:
Step-by-step explanation:
23). By applying triangle sum theorem in the given triangle,
(x + 83)° + (x + 48)° + 65° = 180°
2x + 196 = 180
2x = -16
x = -8
Measure of angle A = x + 48
= -8 + 48
= 40°
Therefore, Option A is the answer.
24). By triangle sum theorem,
(3x + 14)° + 90° + (4 + 3x)° = 180°
6x + 108 = 180
6x = 72
x = 12
Measure of angle A = (4 + 3x)
= 4 + 3(12)
= 40°
Therefore, Option A is the answer.
Helpppppppppppppppp
which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2
Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0
Which equation represents the graphed function?
Answer:
y=-2x+3
Step-by-step explanation:
for one, you can see that the y-intercept is at 3, so for y=m*x+b, b is 3
next, you can count to get the slope. it moves 2 units down and one unit to the left, so for slope, which is rise over run, you are -2/1= -2
so y = -2x + 3
can someone please help for brainlest
helppppppp
Which equation represents the slope-intercept form of the line below? 5 y-intercept = (0,2) slope = HOME O A. y=2x+ 3 o B. y=-x-2 3 O C. y = 2x - 3 O D. y=-3x+2
Answer:
D. y = -3/7 + 2
Step-by-step explanation:
Slope intercept form: y = mx + b
m = slope
b = intercept
The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)
x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)
Answer:
my answer is x(x+3) + 2(x - 3)
Answer:
thanks for the information
Step-by-step explanation:
Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!
Answer:
[tex]x=\frac{125}{6},\\y=11[/tex]
Step-by-step explanation:
The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:
[tex]7x-15+5x-5y=180[/tex]
The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.
Therefore, we have the following system of equations:
[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]
Combine like terms:
[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]
Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]
Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:
[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]
Verify that these two solutions work:
[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)
Please help I’ll give brainliest
Answer:
6 ^ 6
Step-by-step explanation:
hope this helps!
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] {6}^{2} \times {6}^{3} [/tex]
➺[tex] \: {6}^{2 + 3} [/tex]
➺[tex] \: {6}^{5} [/tex]
Note:-[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]
Y=1/3x+2 Is this a linear equation or nonlinear
Answer:
C
Step-by-step explanation:
i took the test
What is the perimeter of the figure shown to the right.
Plss HELP MEE
Answer:
perimeter=a+b+c+d+e+f+g+h+I
x+13+3x+2+x+5+2+8+3x
CLT
x+x+3x+3x+13+2+5+2+8
8x+30
x−115=223
Please help
Answer:
338
Step-by-step explanation:
X - 115 = 223
Add 115 to both the sides
X - 115 + 115 = 223 + 115
x = 338
Answer:
338
Step-by-step explanation:
x - 115 =223
Collect terms
x = 223 + 115
x = 338
Hope this helps you!
pls mark as brainlest ans
Bye!
-6d - 4e + 4 + 4d + 6e - 6
Answer:
-2d + 2e - 2
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:
4d - 6d + 6e - 4e + 4 - 6
(4d - 6d) = -2d
(6e - 4e) = 2e
(4 - 6) = -2
-2d + 2e - 2 is your answer.
~
Jed works for Metal Fabricators, Inc. Which just lost a large contract and has asked employees to take a 12 percent pay cut. If Jed now makes $34,500 per year, what will his yearly pay be after the pay cut?
Answer: [tex]\$30,360[/tex]
Step-by-step explanation:
Given
Jed makes [tex]\$34,500[/tex] per year
After the loss of contract, a paycut of 12% is there
The amount after the paycut is
[tex]\Rightarrow 34,500(1-0.12)\\\Rightarrow 34,500\times 0.88\\\Rightarrow \$30,360[/tex]
Dave collects model trains. So far he has 23 distinct train cars. How many ways can he put 7 cars together? = Answer 23 PAnswer 7 =23!(23−7)! =23!16! = Answer 23 ⋅ Answer 22 ⋅21⋅20⋅19⋅18⋅ Answer 17 = Answer
Answer:
He can put 7 cars together in 245,157 ways.
Step-by-step explanation:
The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
23 distinct train cars. How many ways can he put 7 cars together?
Combinations of 7 from a set of 23. So
[tex]C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157[/tex]
He can put 7 cars together in 245,157 ways.
Solve for x
2x+16 X+16
Answer:
2x(16)+16(16)
32x+256
32x/32=256/32
x=8
JL = x+16
JK+KL = x+16
2x+16+7 = x+16
2x+23 = x+16
2x-x = 16-23
x = 7
Solve for x. Round to the nearest tenth, if
necessary.
I hope this is help full to u
thank you
Answer:
x = 3.8
Step-by-step explanation:
take 53 degree as reference angle
using cos rule
cos 53 = adjacent/hypotenuse
0.60 = x /6.3
0.60*6.3 = x
3.78 = x
3.8 = x ( after converting the answer to nearest tenth)