Answer:
The circumference of circle is 101 units.
Step-by-step explanation:
Given that the diameter of circle is 32 units so you have to find radius by dividing it by 2 :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 32 \div 2[/tex]
[tex]radius = 16 \: units[/tex]
Next, we have to apply circumference formula, C = 2×π×r where r represents radius which is 16 units :
[tex]c = 2 \times \pi \times r[/tex]
Let π = 22/7,
Let r = 16,
[tex]c = 2 \times \frac{22}{7} \times 16[/tex]
[tex]c = 32 \times \frac{22}{7} [/tex]
[tex]c = \frac{704}{7} [/tex]
[tex]c = 101 \: units \: (3s.f)[/tex]
__________________________________
Hey!!
Solution,
Diameter=32
Radius=32/2=16
Circumference of circle=?
Now,
Circumference of circle=2 pi r
=2*22/7*16
=100.57
hope it helps...
Good luck on your assignment
_________________________________
Esmeralda has decided that every month, for as long as she can
afford it, she's going to donate $250 to a charity that helps fund
research on treatments for cancer. Esmeralda sticks to her word and
continues donating for 2 years. Determine how many more months she
can afford to donate if the starting balance of the account is $8,000.
Answer:
8 months more
Step-by-step explanation:
first calculated how many months total she can donate: 8000/250 = 32 months
2 years has 24 months
subtract 32 with 24 which is 8 and that is how many months left that she can donate
Find Four Solutions For the following Linear equations in two variables: y = 5x
Answer:
see explanation
Step-by-step explanation:
To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is
x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )
x = 0 → y = 5(0) = 0 ⇒ (0, 0 )
x = 1 → y = 5(1) = 5 ⇒ (1, 5 )
x = 5 → y = 5(5) = 25 ⇒ (5, 25 )
Thus 4 solutions are
(- 1, - 5), (0, 0), (1, 5), (5, 25)
The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the increase
Answer:
Let x be the value of the house before increase
Since it's increases add 7% to the overall 100%
107/100x = 749000
x = 700000
The value of the house before increase is £700000.
Hope this helps.
Three friend went out to eat pizza. Their pizza costs 15.63 and drinks cost 1.29 each. Salad costs 2.45. If they plan to share the cost of the pizza.How much will each person pay? Plz helppp
Answer:
Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21
Step-by-step explanation:
15.63/3=5.21
One friend pays for the rest.
1.29*3=$3.87=drinks
salad=$2.45
5.21+3.87+2.45=11.53
yo plz help asap!! marking brainiest!!
Answer:
1) a²-9a+20
2)a²-12a+20
3)a²+a-20
4)a²-8a-20
Step-by-step explanation:
use (foil)
front
outside
inside
last
Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p
Answer:
all the statements are true
Step-by-step explanation:
The acute triangle is the triangle in which all the angles are less than 90°
While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle
Given that
p = Acute triangle
q = equilateral triangle
Based on the above explanation
The conditions are as follows
p ∨ q is true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true
p ∧ q is also true, the ∧ refers that both the statements should be true.
The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows
The last means equal and is valid if both p and q are the same as they are, so that is true too.
Hence, all the statements are true
Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
5 days
Step-by-step explanation:
Since the burrito stand uses 1/2 of a bag of tortillas, take 2 1/2 divided by 1/2 to find how many days the tortillas will last.
2.5/0.5 = 5 days
35 points!
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?
A.) 2 Db
B.) 22 Db
C.) 60 Db
D.) 110 Db
Answer:
22
Step-by-step explanation:
Im sure because my sister got the same question on a test and she put 22 and got it right
The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Given that:
L = 10log(I / I₀)
Where L is the loudness, I is the sound intensity and I₀ = 10⁻¹².
For I = 10⁻¹:
L = 10log(10⁻¹ / 10⁻¹²) = 110 dB
The loudness of a rock concert with a sound intensity of 10⁻¹ is 110 dB.
Find out more on Equation at: https://brainly.com/question/2972832
Marcus saved money from her allowance for some books she wanted to buy. To determine how much money she will save, she used the function rule: y = 6x. Find f (7) A. $13 B. $36 C. $42 D. $49
Answer:
$42
Step-by-step explanation:
Substitute:
Y = 6x
F = 7
So, Y = 6 * 7 = 42
Answer: 42
Step-by-step explanation:
If you can, please help on this Algebra Question. Use the drop-down menus to complete the statements.
82.8cm measured to the nearest tenth of a cm
Answer:
The answer is already 82.8
Step-by-step explanation:
The .8 is already to the tenth so it is 82.8
Answer: 83.0
Step-by-step explanation:
This is the answer because if you round it to a tenth it is 83.0 and it is closest to a cm
1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me
Answer:
1/3 of 13/2 * 3/4(56/7)
= 1/3 of 13/2 * 3/4*8
= 13/6 * 3/4*8
= 13/6 *6
= 13
Hope this helps.
A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number.
A.0.714 B:0.727 C:0.778 D:286
Answer:
6/7
Step-by-step explanation:
Total number of jerseys = 4 + 3 = 7
Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7
Now let’s look at picking a jersey with even number
Even number jerseys are yellow two and yellow four and also purple two
So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7
In probability, once we have or, we add
The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7
pls help me with my work
Answer:
I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.
Step-by-step explanation:
Tomas works as an underwater photographer. He starts at a depth of 20 feet, ascends 9 feet, descends 12 feet, and then descends 15 feet more. What is the diver's final depth?
Answer:
38 feet
Step-by-step explanation:
What is the volume on a cone if the height is 12cm and the radius is 2cm
Answer:
[tex]50.27[/tex] [tex]cm[/tex]
Step-by-step explanation:
[tex]\pi r^2h \times 1/3[/tex]
[tex]\pi \times 2^2 \times 12 \times 1/3[/tex]
[tex]\pi \times 4 \times 12 \times 1/3[/tex]
[tex]16\pi[/tex]
[tex]\approx 50.265482[/tex]
Answer:
16π cm^3 or 50.27 cm^3 to the nearest hundredth.
Step-by-step explanation:
V = 1/3 π r^2 h
= 1/3 π 2^2 12
= 16π cm^3.
What is the volume of the rectangular prism, in cubic cm?
9 cm
4 cm
12 cm
Answer:
V =432 cm^3
Step-by-step explanation:
The volume is given by
V = l*w*h
V = 9*4*12
V =432 cm^3
-1 1/8 - 5/8 answer plz
Answer:
-1 6/8
Step-by-step explanation:
Answer:
-2 answer this is 100% correct
Step-by-step explanation:
A ( 10cm height) and B ( 15cm height) are two similar solids the volume of A is 400cm^3 work out the volume of b
Answer:
1350 cm³
Step-by-step explanation:
Given 2 similar solids with sides in the ratio a : b , then
ratio of volumes = a³ : b³
Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus
ratio of volumes A : B = 2³ : 3³ = 8 : 27
let x represent the volume of B then using proportion
[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )
8x = 10800 ( divide both sides by 8 )
x = 1350
The volume of solid B = 1350 cm³
Someone who actually knows what they doing please ♀️
Answer:
5/9 (F-32) = 25
Step-by-step explanation:
5/9 (F-32) = C
Multiply each side by 9/5
5/9 * 9/5 (F-32) =9/5 C
F -32 = 9/5 C
Add 32
F -32 +32 = 9/5 C +32
F = 9/5 C +32
We want 25 C to Fahrenheit
F = 9/5 *25 +32
F = 9*5 +32
F = 45+32
F = 77
answer this plz to be rater 5 stars
Answer:
Step-by-step explanation:
3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds
2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds
Improvement = 200 - 164 = 36 seconds
Percentage =(36/200) *100
= 18 %
(-2,3), (0,1), (2,-4), (3,-1), (2,4) IS IT AN FUNCTION OR NOT
Answer: No
Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.
In the relation shown here, notice that
the x-coordinate 2 appears twice.
In one case, 2 corresponds to -4 and in
the other case, 2 corresponds to -4.
Since the x-coordinate 2 corresponds to more than one
y-coordinate, no, this relation is not a function.
Please help quick im timed!!
Answer: C
Step-by-step explanation:
Make them both equal to 0
Answer:
answer is c
Step-by-step explanation:
Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.
Answer:
Length of DE = 7.5 units
Length of DB = 9.2 units
Measure of ∠FED = 82°
Step-by-step explanation:
In ΔABC,
AD ≅ BD and CE ≅ BE [Given]
By the theorem of mid-segments,
DE = [tex]\frac{1}{2}(AC)[/tex]
= [tex]\frac{1}{2}(15)[/tex]
DE = 7.5 units
Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]
Therefore, length of DB = 9.2 units
[Although it's not given in the question, but we assume FE║AB]
Since FE║AB and DE is a transverse,
Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]
Medical statistics indicate that 20% of the population will have cancer in their lifetimes. A group of 12 babies is selected at random. a. What is the probability that exactly 5 in the group will get cancer in their lifetime? b. What is the probability that at least 5 will get cancer in their lifetime? Record the answer to four decimal places (x.Xxxx)
Answer:
a. 5.3%
b. 7.3%
Step-by-step explanation:
we have to:
n = 12
p = 0.2
q = 1 - 0.2 = 0.8
We apply the binomial formula:
p (x) = nCx * p ^ x * p ^ (n-x)
a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)
12C5 = 12! / (5! * (12 -5)!) = 792
P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)
P (x = 5) = 0.053
which means that the probability is 5.3%
b. P (x => 5) = 1 - p (x <5)
P (x => 5) = 1 - p (x <= 4)
P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]
P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069
P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206
P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283
P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236
P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133
replacing:
P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]
P (x => 5) = 1 - 0.927
P (x => 5) = 0.073
Which means that the probability is 7.3%
How do you make x the subject for (A) please?
Answer:
x = y / (4x+11)
Step-by-step explanation:
y = 4x^2 + 11x
4x^2 + 11x - y = 0
4x^2 + 11x = y
x(4x + 11) = y
x = y / (4x+11)
Given that m>KLM=120 degrees, which statement about the figure is true?
A.
B.
C.
D.
Part 2. identify the x intercepts for
y = 4(x-5)^2+8
Answer:
No solution
Step-by-step explanation:
This function places the parabola above the x axis, so there are no x intercepts
Answer:
B - No solution
Step-by-step explanation:
This equation does not have a x-intercept, making this an equation with no solution.
could you guys help with this? thank you ;-;;
Answer:
144degrees
Step-by-step explanation:
In a regular pentagon, the sum of interior angles is 540. So one angle is 108. In the angles adjacent to x, we see two of the interior angles. We know that the angles around one point is 360. So, we add the two 108 degrees and subtract it from 360. Thus, 144.
Hope it helps
Solve for k. a/b=b/a+1/k
Answer:
k = ab/ ( a^2 - b^2)
Step-by-step explanation:
a/b=b/a+1/k
Multiply each side by abk to get rid of the fractions
abk *a/b=abk(b/a+1/k)
a^2k = b^2k + ab
Subtract b^2k from each side
a^2k - b^2k = b^2k - b^2k + ab
a^2 k - b^2 k = ab
Factor out k
k( a^2 - b^2) = ab
Divide each side by ( a^2 - b^2)
k( a^2 - b^2)/ ( a^2 - b^2) = ab/ ( a^2 - b^2)
k = ab/ ( a^2 - b^2)
Answer: K= ab/(a+b)(a-b)
