1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
Learn more about area click;
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solve for x: 2x^2 + 3x = 2
solving other quadratic equation by factoring
Answer: x=1/2,-2
not sure if that is what you need
Step-by-step explanation:
i’ll award brainliest! no links
Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.
a+b=8
3a - 45=3
And is it good for the elimination method
Answer: a is 16, b is -8
Step-by-step explanation:
3a-45=3
add 45 to both sides to get rid of -45
3a=48
divide both sides by 3
a = 16
plug 16 into the first equation
16 + b = 8
subtract 16 from both sides
b = -8
is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.
How many times does this polynomial change signs?
f(x) = 3x5 – 2x4 – 6x3 + x2 - 4x – 9
Answer:
3 sign changes from the highest order term to lowest
a number increased by 8 is 21 help
Answer:
the number is 13
Step-by-step explanation:
13+8=21
Answer:I think it means that a number plus 8 is 21? or possibly multiplied?
Step-by-step explanation:
please help with this question?!?
Answer:
416 mi
Step-by-step explanation:
In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.
Remember to find the area it is length x width
9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottomLastly for the last 2 squares to find the area you multiply 8 x 8 = 64In total, you will add 72+72+72+72+64+64 which equals 416Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)
Answer:
24 pints
Step-by-step explanation:
128 ounces · 3 = 384 ounces
384/16 = 24 pints
Answer:
There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.
Step-by-step explanation:
4
Please! HELP! very easy! will give brainliest!
Answer:
Tom will need 42 bags of seed.
Step-by-step explanation:
The area of Tom's yard is 630 square feet.
Divide the area (630) by the amount of area that each bag of seed covers (15)
630 divided by 15 is 42. So, Tom will need to use 42 bags of seed to cover his whole yard.
PLEASEE HELP ME FAST
Answer:
Step-by-step explanation:
2/3 ÷ 1/3
=2/3 × 3/1 (recipracol)
=6/3
=2
Answer:
2 and [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
when you divide by a fraction you just multiply by its reciprocal
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]
then just solve
[tex]\frac{6}{3}=2[/tex]
for the second one do the same thing
[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]
The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP
Answer:30
Step-by-step explanation:
Help me!! no links or i REPORT, I will do brainliest if there is more than one answer and if you explain it
Answer: 1/2
Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.
I have a picture with the question plz help I've been stuck on this
Answer:
i'm pretty sure it's 4
Step-by-step explanation:
you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4
Santiago gave out a survey to some students in his school about their favorite color. 429 of those surveyed said their favorite color was blue. If 55% of the students surveyed said their favorite color was blue, how many students were surveyed in total?
Answer:
780
Step-by-step explanation:
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 30 x [tex]\frac{22}{7}[/tex]
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 33 x [tex]\frac{22}{7}[/tex]
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
help!!! (Brainlist!!!!!)
Answer:
Its A
Step-by-step explanation:
Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?
Answer:
120 gold is in the alloy
Step-by-step explanation:
G:S
6:4
6+4=10
200/10=20
20*6=120
Hope this helps!
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
How do i do this please
1. 10 1/2
2. 120
3. 12
Hope this helps =]
what is the volume ( round to nearest tenth if necessary)
Answer:
V = 240 cm^3
Step-by-step explanation:
The volume formula for a cone or triangular prism such as this one is
V = (1/3)(base area)(height), which here is:
V = (1/3)(80 cm^2)(9 cm), or V = 240 cm^3
A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her
mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures
the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below.
Answer:
Volume fomlua is LxWxH, just multiply the numbers with a calculator:)
What is the domain of this function?
y = 2x - 2
Answer:
The domain is (-∞,∞)
Step-by-step explanation:
Since there's no limit to this function, the values are infinity.
A point (–2, 6) is translated 4 units up. What are the coordinates of the new point?
Answer:
(-2,10)
Step-by-step explanation:
-5(m+4)=27? Solve for m.
Answer:
The answer for M should be 28 because 28 plus 4 is 32 and if you take 5 away from it it will be 27 so M equals 28 ( I hope this helps. )
Elijah went to the store and bought a pack of note cards for $3.80. If the tax was 7%, how much did he pay for the note cards?
Answer:
4.066
Step-by-step explanation:
7% of $3.80 = 0.266
Tax = 0.266
0.266 + 3.80 = 4.066
Hope this helps!! Have a great day and remember, you are loved.
y / 4 + 8 = 22 Answer?
Answer:
y = 3.5
Step-by-step explanation:
First, you do 14/4 which = 3.5
Hope this helps!
Answer:
y/4+8=22
y/4=22-8
y/4=14/1
y=56
Mai had $14.50. She spent $5.25 at the arcade. What is the exact amount of money
Mai has left?
Answer:
nine dollars and 27 cents
Step-by-step explanation:
if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents
Yw!
Answer:
9.25
Step-by-step explanation:
subtract 5.25 from 14.50
evaluate 4z -5y when z=8 and y=3
Answer:
17
Step-by-step explanation:
In 4z -5y, substitutte 8 for z and 3 for y, obtaining:
4(8) - 5(3) = 32 - 15 = 17
Answer:
17
Step-by-step explanation:
When you have a number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.
4z-5y
when z=8 and y=3
The equation really is
4 times 8 - 5 times 3
4 times 8 is 32
5 times 3 is 15
15-32
15-32= 17
Help Asap please, If you dont know it please dont!
Answer:
D. 22 2/3 square yards
Step-by-step explanation:
To find the area of a rectangle or the workshop, you just have to multiply the two measurements together.
Hope this helps!
-Luna