Answer:
Perimeter = 12+4pi
Area = 16+8pi
Step-by-step explanation:
Description of the assumed shape:
A rectangle 2 x 8 superimposed on a semi-circle of radius 4.
Perimeter:
P = 2+8+2+(4)(pi) = 12+4pi
Area :
A = 2*8 +(pi)4^2/2 = 16 + 8pi
What is the length of the hypotenuse?
Answer:
13 cm
Step-by-step explanation:
[tex] \sqrt{ {12}^{2} + {5}^{2} } = \sqrt{169 } = 13[/tex]
Determine if the relation is a function. Explain and
justify your answer.
By looking at the table, you can see that we have an x
that is paired with two different y's so this does not fit the
definition of a function which states that each x must
be paired with exactly one y.
Kris finds a bag of glass beads on sale for $10.77 and a pattern book on sale for $8.00.
Does she have enough money to buy all five items? If not, how much more money does she need?
HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
6 carp
8 bass
7 catfish
Answer:
18
Step-by-step explanation:
Take a breath :) . I've got your back.
If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.
7 of 21 were catfish.
If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?
Ratios are 7:21 and x:54, but we'll write them as fractions:
7/21 = x/54
Then cross multiply:
21x = (54)(7)
21x = 378
divide both sides by 21
x = 18
If she catches 54 fish total, we predict she will catch 18 catfish.
---------------------------------------------
If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.
Una pequeña empresa dedicada a la fabricación de muebles lanzará al mercado un nuevo modelo de escritorio para escolares a un precio de S/ 125. Los costos fijos son S/ 4,750 y los costos variables S/ 75. Entonces, ¿cuántos escritorios se deben fabricar y vender para obtener S/ 25 000 de utilidad?
Answer:
Se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.
Step-by-step explanation:
La utilidad por cada escritorio se obtiene al sustraer los costes fijos y variables del precio, es decir:
[tex]u = S/ \,125 -S/\,4,75 - S/\,75[/tex]
[tex]u = S/\,45.25[/tex]
El número de escritorios a vender para obtener [tex]S/\,25000[/tex] se calcula mediante la siguiente regla de tres simple:
[tex]x = \frac{S/\,25000}{S/\,45,25} \times 1\,esc[/tex]
[tex]x = 552.486[/tex]
Puesto que la cantidad a vender es una variable entera, se debe redondear al entero más cercano. En consecuencia, se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.
There are 16 students and mrs Bryant wants o give them 5/8 of a large sub sandwiches does she need?
She needs______sub sandwiches
Answer: I think the answer would be 10
Step-by-step explanation:
5/8 * 16/1 = 80/8 = 10
She needs 10 sub sandwiches if there are 16 students and Mrs Bryant wants to give them 5/8 of a large sub sandwiches
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Total number of students = 16
Each student receive = 5/8 of a large sub sandwich
Total sandwich receive = 16(5/8) = 10
Thus, she needs 10 sub sandwiches if there are 16 students and Mrs Bryant wants to give them 5/8 of a large sub sandwiches
Learn more about the fraction here:
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I need to know how to do this
Answer:
Let's walk through the steps together!
Step-by-step explanation:
1
a) we know that the Pythagorean theorem is a^2+b^2=c^2
a^2+b^2=c^2 means that if we add the squared values for each of the two sides of the triangle (these sides need to have an angle of 90 degrees together. Basically they are the ones that aren't the hypotenuse) we get the value of the hypotenuse (the longest side that doesn't help to make the right angle).
We see that we have the values of a and b in this formula (these sides need to have an angle of 90 degrees together.) Plugging the values in problem 1a into this formula, we see that 16^2+12^2=x^2 (x is the value we need to find)
16^2=236
12^2=144
so the formula now says that 236+144=x^2
236+144=400, so x= [tex]\sqrt{400}[/tex] , which is 20.
so x=20
b) we can use the same knowledge we used in the first problem in this problem as well. In this problem, we are given the values of c (the hypotenuse) and one of the sides (which for our purposes can be a).
a^2+b^2=c^2 -> 100+b^2=289
This means that b=[tex]\sqrt{289-100}[/tex]
so b=[tex]\sqrt{189}[/tex]
so b=[tex]3\sqrt{21}[/tex]
2
These ones are pretty basic, having any common knowledge of ratios should lead you right to the answer. I will help you with a and d
a) we are given the values 6 and 9 as a ratio, which is the same as a 2:3 ratio. 12 corresponds to 6, so 12 would be the 2 in 2:3, meaning the answer (for the value of x) is 18
d) we are given the values 6 and 8, and the corresponding value to 8 is 12. 6 and 8 make a ratio of 3:4, and if we plug 12 in as the 3, the 4->4*4=16
3
I can't see the full problem so unfortunately, I cannot help you
I hope this helped in your understanding!
-Suvi
need help again pls and ty
Answer:
22 square units
Step-by-step explanation:
Area of a triangle formula:
A = 0.5bh
Given:
b = 11
h = 4
Work:
A = 0.5bh
A = 0.5(11)(4)
A = 5.5(4)
A = 22
Find (-5) when f(x) = x^2 + 2x + 5
Answer:
Value of F(x) when x = -5 is 20
Step-by-step explanation:
Given equation;
f(x) = x² + 2x + 5
f(x) = f(-5)
Find:
Value of F(x) when x = -5
Computation:
Given function;
f(x) = x² + 2x + 5
By putting value of x in given function
f(-5) = (-5)² + 2(-5) + 5
f(-5) = (-5 x -5) + 2(-5) + 5
f(-5) = (25) - 10 + 5
f(-5) = (25) - 5
f(-5) = 20
Value of F(x) when x = -5 is 20
Builders are replacing the congruent roofs on House A and House B. What is the measure of
Someone please help me ?!?!?
Answer:
c
Step-by-step explanation:
atus
view
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = Ź, find sin 0.
sin 0 =
V 역
Simplify the fraction.
Enter
Answer:
√7 / 4
Step-by-step explanation:
Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:
sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.
Given that cosΘ = 3 / 4
Therefore, cosΘ = adjacent / hypotenuse = 3 / 4
adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:
opposite² + adjacent² = hypotenuse²
x² + 3² = 4²
x² + 9 = 16
x² = 7
x = √7
sinΘ = opposite/hypotenuse = √7 / 4
Check the following pair of linear equations is consistent or inconsistent
5x - 3y = 11, -10x + 6y = -22
Answer:
Consistent
Step-by-step explanation:
It was a solution.
Plz help j don't the answer to this
an isotope is an atom with a different number of____neutrons____ ,than a normal atom
What is the area of the figure below?
Use 3.14 for it.
fi6 cm
7 cm
A 42 cm
B 61.2 cm?
C 80.5 cm?
D 118.9 cm?
Answer:
option B
Step-by-step explanation:
The figure is combination of parallelogram and semi- circle. So,
area = area of parallelogram + area of semi-circle
[tex]Area \ of \ parallelogram = base \times height = 7 \times 6 = 42 cm^2\\\\Area \ of \ semi-circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = 19.2cm^2\\\\Therefore \ Area = 42 + 19.23 = 61.2cm^2[/tex]
solve the simultaneous equation 3a+4c= 67 5a+6c= 106
Q 4: A triangle has vertices A (1,6), B (1, 2) and C (6,2). What is the area of the triangle?
Plss helpppppp.
Answer:
10 units
Step-by-step explanation:
point A has the coordinate (1,6) and point B has the coordinates (1,2), so the difference in the y values will give height of the triangle which is 6-2 = 4
similarly the point B has the coordinates (1,2) and point C has the coordinates (6,2). Calculate the difference in x values which is 6-1 = 5 which is the base of the triangle
now use the area of a triangle formula which is 1/2 * b * h
= 1/2 * 5 * 4
= 1/2 * 20
= 10
Two times a number minus four times another number is ten, and four times the first
number minus four times the second number results in four. What are the two
numbers? Let the first number be x. Iand the second number be y.
Answer:
-3 and -4
Step-by-step explanation:
x = 1st number
y = 2nd number
2x-4y=10
4x-4y=4
distribute first equation by -2 to eliminate x-values:
-4x + 8y = -20
+ 4x - 4y = 4
4y = -16
y = -4
solve for 'x':
2x - 4(-4) = 10
2x + 16 = 10
2x = -6
x = -3
The solution for the given system of equations is x = -3 and y = -4.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
This is a system of linear equations in two variables, x and y.
The first equation is:
2x - 4y = 10
The second equation is:
4x - 4y = 4
You can solve one of the equations for one of the variables, and then substitute that expression into the other equation.
From the first equation:
2x - 4y = 10
2x = 4y + 10
x = 2y + 5
Substitute this expression of x in the second equation,
4(2y+5) - 4y = 4
8y + 20 - 4y = 4
4y = -16
y = - 4
Now, substitute this value of y in x = 2y + 5
x = 2 × -4 + 5
x = - 3
Hence, the solution for the system of equations is x = -3 and y = -4.
Learn more about the Linear equations here:
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Help if you know the answer plz and thank you!!
Answer:
-12 w^3
Step-by-step explanation:
-9w^3 - 3 w^3
Factor out the common term
w^3( -9-3)
w^3 (-12)
What is an equation of the line that passes through the points ( 3 , 1 ) and ( − 3 , − 7 ) ?
Answer:
y = 4/3x - 3
Step-by-step explanation:
Use this formula to find the slope first.
(y2 - y1) / (x2 - x1)
(x2, y2) --> (-3, -7)
(x1, y1) ---> (3, 1)
Now plug in:
(-7 - 1) / (-3 - 3) = -8 / -6 = 4/3
Now find the y intercept by plugging any points to y= 4/3x + b
I will use (3, 1).
1 = 4/3(3) + b
1 = 4 + b (subtract 4 on both sides)
-3 = b
So the formula is
y = 4/3x - 3
What number should be added to −5/11to get 26/33?
Hurry please need fast
Answer:
SAS
Step-by-step explanation:
One of the postulates is called SAS and it states that if two triangles have 2 sides with the same length and the angles between the two sides are the same then the two triangles are congruent. This is exactly what we see on the diagram shown in the question, therefore the correct postulate is SAS
You are flying a kite and want to know its angle of elevation. The string on the kite is 39 meters long and the kite is level with the top of a building that you know is 24 meters high. Find the angle of elevation of the kite
.a.58.392
b.37.980
c.31.608
d.52.020
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the string = 39 m
The kite is level with the top of a building that is 24 meters high.
We need to find the angle of elevation of the kite.
A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]
So, the angle of elevation of the kite is 37.97°. The correct option is (b).
How can 17% of 58 be calculated?
A. by dividing 17 by 58
B. by dividing 58 by 0.17
C. by multiplying 17 by 58
D. by multiplying 58 by 0.17
Answer:
D. by multiplying 58 by 0.17
[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]
JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?
Answer: 4/5
Step-by-step explanation:
ill mark brainliest for correct answer
Answer:
Solution given:
[tex]\frac{1}{5}(6+3+1)²[/tex]
[tex]\frac{1}{5}(10)²[/tex]
[tex]\frac{1}{5}100[/tex]
=20 is a required answer.
Someone help me please want asap
Answer:
C
Step-by-step explanation:
Trust me bro.
Explain why 4x+1 is equal to 2x+12
PLEASE I NEED HELP!!
Answer:
t=75
h=19
x=9
s=6
Your welcome (:
Ricardo and John start swimming from the same location. Ricardo starts 15 seconds before John and
swims at a rate of 3 feet per second. John swims at a rate of 4 feet per second in the same direction as
Ricardo. Which equation could you solve to find how long it will take John to catch up with Ricardo?
Does anyone know the answer?
Answer:
t = (t₁ · vr)/ (vj - vr) = 45 seconds
Step-by-step explanation:
Given:
Initial time from Ricardo t₁ = 15 seconds, Ricardo's velocity (speed) vr = 3 ft/s,
John's velocity (speed) vj = 4 ft/s
Requested time when John catch Ricardo t = ?
During 15 seconds, Ricardo moved away
S = vr · t₁ = 3 ft/s · 15 s = 45 feet.
From that moment, the same time runs for both of them
Ricardo's path is S₁ = vr · t and John's path is S₂ = vj · t
S + S₁ = S₂ => S = S₂ - S₁ => 45 = vj · t - vr · t
When we draw t we get:
t ( vj - vr) = 45 t = 45 / (vj - vr) = 45 / (4 - 3) = 45 / 1 = 45 seconds
t = 45 seconds
S₁ = vr · t = 3 · 45 = 135 ft
S₂ = vj · t = 4 · 45 = 180 ft
Select all the correct answers.
Based on these sets of side lengths, which triangles are right triangles?
8 units, 15 units, V75 units
08 units, 3 units, V73 units
16 units, 30 units, V50 units
5 units, 7 units, 174 units
Answer:
08 units, 3 units, V73 units
Step-by-step explanation:
Pythagoras theorem can be used to determine which sets of side lengths are for a right triangle
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
8² + 15² = √289
8² + 3² = √73
16² + 30² = √1156
only the second option is correct