The dial on an old telephone is a plastic ring 8cm in diameter with a4cm diameter hole in the center. Ten small dialing holes each of diameter 1.2cm are cut out of the ring
Answer:
Area of remaining plastic = 36.55 cm² (Approx.)
Step-by-step explanation:
Given:
Diameter of plastic dial of telephone = 8 cm
Diameter of middle hole = 4 cm
Diameter of ten small holes = 1.2 cm
Find:
Area of remaining plastic
Computation;
Radius of plastic dial of telephone = 8/2 = 4 cm
Radius of middle hole = 4/2 = 2 cm
Radius of ten small holes = 1.2/2 = 0.6 cm
Area of remaining plastic = Area of plastic dial - Area of middle hole - 10[Area of small holes]
Area of remaining plastic = π(4)² - π(2)² - π(0.6)²
Area of remaining plastic = π(16) - π(4) - π(0.36)
Area of remaining plastic = π[16 - 4 - 0.36]
Area of remaining plastic = π[11.64]
Area of remaining plastic = (3.14)(11.64)
Area of remaining plastic = 36.5496
Area of remaining plastic = 36.55 cm² (Approx.)
A coffee shop sold small coffees for $2 and large coffees for $2.50. At the end of a day the shop sold 450 cups of coffee for a total revenue of $950. How many large coffees were sold?
Write two equations for this problem and solve using substitution
Step-by-step explanation450 x 2.50 = 1125.
1125 - 950 = 175An angle that measures 100° is an angle
a. acute
b. plain
c. straight
d. obtuse
Answer:
obtuse
Step-by-step explanation:
Parallelogram ABCDABCDA, B, C, D has the following vertices: A(0,8)A(0,8)A, left parenthesis, 0, comma, 8, right parenthesis B(8,4)B(8,4)B, left parenthesis, 8, comma, 4, right parenthesis C(2,-8)C(2,−8)C, left parenthesis, 2, comma, minus, 8, right parenthesis D(-6,-4)D(−6,−4)D, left parenthesis, minus, 6, comma, minus, 4, right parenthesis Is parallelogram ABCDABCDA, B, C, D a rectangle, and why?
(Choice A)
A
Yes, because AB=ADAB=ADA, B, equals, A, D and BC=CDBC=CDB, C, equals, C, D, and ABCDABCDA, B, C, D is a parallelogram.
(Choice B)
B
Yes, because \overline{BC}
BC
start overline, B, C, end overline is perpendicular to \overline{AB}
AB
start overline, A, B, end overline, and ABCDABCDA, B, C, D is a parallelogram.
(Choice C)
C
No, because \overline{AB}
AB
start overline, A, B, end overline is shorter than \overline{AD}
AD
start overline, A, D, end overline.
(Choice D)
D
No, because \overline{BC}
BC
start overline, B, C, end overline is not perpendicular to \overline{AB}
AB
start overline, A, B, end overline.
Answer:
Yes, because \overline{BC}
BC
start overline, B, C, end overline is perpendicular to \overline{AB}
AB
start overline, A, B, end overline, and ABCDABCDA, B, C, D is a parallelogram.
Step-by-step explanation:
I did it on khan academy and I got it right
What is the ratio of the side length of the smaller square to the side length of the larger square?
FAST RESPONSE PLEASE!!!
Answer:
the smaller square length is 3cm
the larger square length is 6cm
hence their ratio will be 3:6
Simplify the ratio
we have our final answer to be 1:2
The required ratio of the side length of the smaller square to the side length of the larger square is 1 : 2.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Side of smaller square, a = 3
Side of the larger square, b = 6
According to the question,
The ratio of the side length of the smaller square to the side length of the larger square,
= a / b = 3 / 6
= 1 / 2
Thus, the required ratio of the side length of the smaller square to the side length of the larger square is 1 : 2.
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The perimeter of an equilateral triangle is 15 m. What is the length of each side of
the triangle?
Answer:
Correct Answer is (5 meters) for each side
Step-by-step explanation:
A=[tex]\ \frac{\sqrt{3}}{4} a^{2}[/tex] (area)
Perimeter = 15/3 = 5 meters each side
A recipe for peanut butter cookies uses only peanut butter ,sugar ,syrup and egg in the ratio 5:4:2:1
A) wants to makes 2.4kg of cookies
How much of each ingredient should he use.
B) using this recipe 10ph of syrup is needed to make 15 of these cookies
A)butter= 12
sugar = 9.6
syrup= 4.8
eggs= 2.4
What is ratio?A ratio indicates how many times one number contains another.
Given:
5:4:2:1
Let the common ratio be x
So, butter= 5x
sugar= 4x
syrup = 2x
egg= x
As, eggs= 2.4 kg
So, x= 2.4
Now,
butter= 5x = 5* 2.4 = 12
sugar= 4x = 4* 2.4 = 9.6
syrup = 2x = 2* 2.4 = 4.8
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What is the area of the
triangle?
6 mm
8 mm
square millimeters
Answer:
24 square millimeters
Step-by-step explanation:
Area of a triangle is half of the base times the height.
[tex]\frac{1}{2} bh[/tex]
Here, that means
[tex]\frac{1}{2}[/tex](8)(6) = 24 square millimeters
Which is the length of HJ expressed in terms of π?
PLZ help
Answer:
B. 9π/20
Step-by-step explanation:
Which is the length of HJ expressed in terms of π?
PLZ help
The formula to calculate arc length when central angle is in degrees =
Arc length = θ/360 × 2πr
r = radius = 1
θ = 81°
Hence:
Arc length in π =
= 81/360 × 2 × π × 1
= 162π/360
= 9π/20
Therefore, the arc length = 9π/20
Option B is the correct option
1. How can you find answers to the statistical questions?
2. How about answers to non-statistical questions?
1 The solution involves four steps.
Make sure the sample size is big enough to model differences with a normal population. ...
Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.
Find the standard deviation of the difference. ...
Find the probability.
help plz
what's [tex]\sqrt{8*8}[/tex]
Thx!!
Answer:
8
Step-by-step explanation:
[tex]\sqrt{8*8}[/tex] = [tex]\sqrt{64}[/tex]
[tex]\sqrt{64}[/tex] = 8
Hope this helps!
Answer:
Solution given:
[tex]\sqrt{8*8}[/tex]
[tex]\sqrt{8²}[/tex]
[tex]\large \bold{8}[/tex]
I need to know the surface area of this prism please help !!!! I will give brainlist !
Answer:
614
Step-by-step explanation:
15 x 13 = 195 two times 195 x 2 = 390
4 x 15 = 60 two times 60 x 2 = 120
4 x 13 = 52 two times 52 x 2 = 104
104 + 120 + 390 = 614
Answer:
SA = 2(l·w)+2(w·h)+2(l·h)
SA = 614 sq in
Step-by-step explanation:
SA = 2(4x13)+2(13x15)+2(4x15)
= 2(52)+2(195)+2(60)
= 104 + 390 + 120
= 614
What is the area of this polygon?
A. 43.5 units
B. 45.5 units
C. 46.5 units
D. 49.5 units
Answer:
A. 43.5 units
Step-by-step explanation:
(8×4)+(½×3×4)+(½×3×2)+(½×5×1)
= 32+6+3+2.5
=43.5 units
Jason bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 41 cards left. How many cards did Jason start with ?
Answer:
66 cards
Step-by-step explanation:
41 - 8 = 33
33 times 2 = 66
The menu at the 51's baseball game has 8 flavors of drinks, 4 types of french fries, and 3 types of hamburgers. How many different ways could you purchase a drink, fries, and hamburger? (Combination)
Answer:96
Step-by-step explanation:
It's super easy you just multiply 8x4x3=96
and that gives you the answer
Solve for X
x = ___ (Round to the nearest hundredth)
Answer:
12.62
Step-by-step explanation:
imagine a circle with the center at the corner (let's call it A) with the 31 degree angle. the radius is AB.
so,
x = sin(31)×AB
and
21 = cos(31)×AB
therefore,
AB = 21/cos(31) = 24.4993...
=> x = sin(31)×24.4993... = 12.62 (12.61807...)
What is the value of en7x?
1
O 1
o 7e
O 7x
07
Answer:
im not sire u tell me like i think its 07
The value of the given expression is 7x.
What is an expression?A mathematical statement containing variables and numbers connected by at least one arithmetic operation is called an expression.
Given is an expression, [tex]e^{ln7x[/tex]
Let
[tex]y = e^{ln7x[/tex]
Taking ln both the sides,
[tex]ln(y) = ln(e^{ln7x})[/tex]
㏑ y = ㏑ 7x ㏑ e
㏑ y = ㏑ 7x
y = 7x
Hence, the value of the given expression is 7x.
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Please help me with this math question will mark brainliest
Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.
PLEASE HELP WILL GIVE BRAINLY!!
Which object has a taller height based on the given information?
Object A: a parallelogram with an area of 60m2 and a base of 10m
Object B: a parallelogram with an area of 40m2 and a base of 4m
Answer:
Which object has a taller height based on the given information?
Object A: a parallelogram with an area of 60m2 and a base of 10m
Object B: a parallelogram with an area of 40m2 and a base of 4m
Object A
OR
Object B: (Correct)
Step-by-step explanation:
Because the base of B is 4m but the hight is 10m2 because 10x4=40
1) A Jet travels 520 miles in 2 hours. At this rate, how far could the jet fly in 13 hours? What is the rate of speed of the jet?
Answer:
[tex]Speed = \frac{distance}{time} = \frac{520}{2} =260miles \ per \ hour \\\\Distance = Speed * time = 260 * 13 = 3380miles[/tex]
what is the circrumfrence of a circle with a diameter of 7 feet? Use 3.14 for pi
Answer:
Step-by-step explanation:
if you take the diameter of a circle and put it around the circumference you will need to have 3 and a bit more (pi=3.14) of diameters to cover the whole circumference.
C = pi*d = 3.14 * 7 = 21.98 feet
163 * 80 − 153 * 47 − 153 * 33 compute in the most rational way BRAINLIEST IF CORRECT
Answer:
820
Step-by-step explanation:
Some people may get confused and just calculate this question from left to right, but I was taught to use this formula:
Brackets
Exponents
Division
Multiplication
Addition
Subtraction
--------
So lets multiply first,
163 × 80 = 13,040
153 × 47 = 7,191
153 × 33 = 5,049
-------
Next, we subtract:
13,040 - 7,191 - 5,049 = 820
------
Have a good day :)
Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?
A){2 +√11 , 2 - √11}
B){-2 +√11 , -2 - √11}
C){2 + √11, 2 +√11 }
Answer:
A) {2 +√11 , 2 - √11}Step-by-step explanation:
[tex]x^2 - 4x-7=0\\\\\underline{x^2 - 2\cdot x\cdot2+2^2}-2^2-7 =0\\\\\big(x-2\big)^2-4-7=0\\\\ \big(x-2\big)^2=11\\\\ x-2=\pm\sqrt{11}\\\\ x=2\pm\sqrt{11}[/tex]
I need help with this, please
Answer:141.3
Step-by-step explanation:
The volume would be the Cone + Cylinder. So, use 1/3 x pi x r^2 x h and since the height is 6-3=3, you get 9 x 3.14 x 6 x 1/3 which is 56.52. The volume of the cylinder is pi x r^2 x h, which is 9 x 3.14 x 3, is 84.78. Now, add 56.52+84.78 = 141.3. Hope this helps
A triangle has a hypotenuse of length 25 and one leg of length 24. What is the tangent of the larger acute angle of the triangle?
Answer:
[tex] \sin( \theta) = \frac{24}{25} \\ \theta = { \sin }^{ - 1} ( \frac{24}{25} ) \\ \theta = 73.7 \degree \\ \\ \tan( \theta) = \tan(73.7 \degree) \\ = 3.4[/tex]
Help, I dont get it, Like how do I do the division?
Answer:
Step-by-step explanation:
you actually dont have to do any division in this problem. since you know the area of the square and its depth, you simply multiply to two fractions, so [tex]\frac{25}{4} *\frac{8}{5}[/tex] when you multiply fractions all you do is multiply the tops and and bottoms, so 25 * 8=200 and 5 * 4=20, so the fraction is now 200/20, so when divide both sides by 20, the answer is 10. another way to demonstrate this in case you didnt understand is that you can rewrite your equation as [tex]\frac{25 * 8}{4 * 5}[/tex] then all you have to do is perform the opperation.
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
heyy! i’ll give brainliest please help
Answer:
Step-by-step explanation:
Always capitalize the names of the seasons
Answer:
Pretty sure you don't capitalize seasons. I guess you can capitalize it when it's the first word of a sentence or part of a proper noun.
Plsss help me !!!!
the public school enrollment of a city is 13,500. Enrollment is declining at a rate of 4.5% per year. predict the enrollment in 5 years.
Answer:
The enrollment after 5 years is 10,724
Step-by-step explanation:
Generally, we can have the depreciation formula written as follows;
A = P(1 - r)^t
A is the number of enrollment in after a certain number of years t
P is the initial population which is 13,500
r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045
t = 5 years
Substituting these values, we have it that;
A = 13,500(1-0.045)^5
A = 10,723.84
Can someone please help me with this algebra
Answer:
bounce 1
Step-by-step explanation:
is -2 less then 6
Yes or no
Answer:
Yes
Hope that this helps!
Answer:
yes -2 is less then 6