Answer:
0.86
Step-by-step explanation:
You will get 0.85714.....
Then 0.86 is 2 dp
The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.
Answer:
1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2
Step-by-step explanation:
Let's solve your problem step by step:
First side should be: 2x+4
Because 2 times the second side =, and 4 longer than that.
Second side should be: x
This is the base of the equation, since all the numbers depend on "x"
Third side should be: (3x+4)-5
Because x + x+4, and the third side is 5 shorter..
We add all and we get 72.
Solve for x.
x=23/2
Now, we can solve for other sides, by doubling it and adding 4.
This is answer is correct, I tried it. :)
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
The scale factor of the triangles will be 17 / 74 or 0.2297.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The triangle on the right is a scaled copy of the triangle on the left.
Then the scale factor of the triangles will be
⇒ 17 / 74
⇒ 0.2297
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ1
Marcy goal was to collect 10 cans of food for a local food bank. She collected 160 cans use the grid to model to understand how to write this as a ratio, a fraction
Answer:
We're told that Marcy collected 160 out of 10 cans. That could be expressed as 160/10, but given that the numerator and denominator are both divisible by 10, we can factor that out and express it as 16/1. You can also express it as ratio of 16:1 cans collected to cans intended.
Answer:
As a ratio, this is expressed as
✔ 160 to 100
As a fraction, this is expressed as
✔ 160/100
As a percent, this is expressed as
✔ 160%
Step-by-step explanation:
I just did it!
Which equation is the inverse of y = x^2– 36?
ОО
y=1/x+6
y=+ X+36
y=+ x +36
y=+Vx2+36
Answer:
y inverse = √(x + 36)
Step-by-step explanation:
inverse of y = x² - 36
=> x² = y + 36
=> x = √(y + 36)
interchange x and y
=> y = √(x + 36)
what is the best estimate for the sum of fractions 5//6 and 5/8
Answer:
The answer is 25/24 or 1.041
Step-by-step explanation:
Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.
6 x 4 = 24 and 8 x 3 = 24
Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.
5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24
After getting these values, you can then add them.
20/24 + 15/24 = 25/24 or 1.041
The best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
We have to determine
What is the best estimate for the sum of fractions 5//6 and 5/8?
Sum of fraction;The addition of Fractions depends on one main factor which is the denominator of the fraction to be added.
There are different ways to add them depending on whether the denominators of the fractions to be added are like or unlike.
The sum of the fraction 5//6 and 5/8 is;
[tex]\rm= \dfrac{5}{6}+\dfrac{5}{8}\\\\=\dfrac{5\times 8+5\times 6}{48}\\\\= \dfrac{40+30}{48}\\\\=\dfrac{70}{48}\\\\=\dfrac{35}{24}[/tex]
Hence, the best estimate for the sum of fractions 5//6 and 5/8 is 35/24.
To know more about fractions click the link given below.
https://brainly.com/question/1301963
The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=
Answer:
H = -52t + 6455
Step-by-step explanation:
2014 is 14 years since 2000. That gives you the point (14, 5727).
2017 is 17 years since 2000. That gives you the point (17, 5571).
Since we have two points in the line, we can find the equation of the line.
y = mx + b
m = slope = (difference in y)/(difference in x)
m = (5571 - 5727)/(17 - 14) = -156/3 = -52
y = -52x + b
Now we use one of the points for x and y, and we solve for b.
5727 = -52(14) + b
b = 6455
The equation is
y = -52x + 6455
Using H and t, we have
H = -52t + 6455
The relationship between the number of hospitals and the years, is a linear function.
The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]
Let
[tex]t \to[/tex] years since 2000
[tex]H \to[/tex] number of hospitals since 2000
So, we have:
[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014
[tex](t_2,H_2) = (17,5571)[/tex]
Calculate the slope (m)
[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]
This gives:
[tex]m = \frac{5571 - 5727}{17-14}[/tex]
[tex]m = \frac{-156}{3}[/tex]
[tex]m = -52[/tex]
The linear equation is then calculated using:
[tex]H = m(t - t_1) + H_1[/tex]
So, we have:
[tex]H = -52(t - 14) + 5727[/tex]
[tex]H = -52t + 728 + 5727[/tex]
[tex]H = -52t + 6455[/tex]
Hence, the equation H is: [tex]H = -52t + 6455[/tex]
Read more about linear equations at:
https://brainly.com/question/11897796
The table shows values for functions f(x) and g(x)
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
Answer:
E) 1
Step-by-step explanation:
this is when both functions have the same value
en una fiesta de disfraces dos quintos de los invitados van disfrazados de superhéroes un quinto de animales y el resto de zombis. si hay 180 invitados ¿cuantos hay disfrazados de cada cosa?
solo un quinto que sería 90 disfrazaos
Help&EXPLAIN
=============
Answer:
133
Step-by-step explanation:
No: of figures = 3
Fig 1 = l x b = 12 x 6 = 72
Fig 2 = l x b = 13 x 5 = 45
Fig 3 = s xs = 4x 4 = 16
Fig area= fig 1+ fig 2+fig 3 = 72+45+16 = 133
what is 7/8 days in hours
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
Using the order of Operations, find the soultion. Evaluate the Expression 17 + 32 - 5 x 4
Answer:
19
Step-by-step explanation:
49 - 20
19
hope it helps u
Answer: 29
Explanation: PEMDAS is
P=Parentesis
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
That's the oder of operations then it's -5×4=-20 and then 17+32=49 and 49-20=29
11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
9.3% 1034 What is in scientific notation? 3.1 x 10"
Answer:
Please be more specific?
Step-by-step explanation:
I don't know what you are asking and the way you format the question is quite confusing.
The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
Answer:
You were running downhill for the first 15 minutes.
MODELING REAL LIFE Forty-five basketball players participate in a three-on-three tournament. Write and solve an equation to find the
number x of three-person teams in the tournament.
An equation that represents this problem is
= 45
They can form
three-person teams.
Answer:
3x = 45
they can form 15 three-person teams
Step-by-step explanation:
45 / 3 = 15
Find the limit:
lim e−9x sin x
x→0
Answer:
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]
General Formulas and Concepts:
Pre-Calculus
Unit CircleCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x[/tex]
Step 2: Evaluate
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = e^\big{-9(0)} \sin(0)[/tex]Simplify: [tex]\displaystyle \lim_{x \to 0} e^\big{-9x} \sin x = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
PLZ help me with this question
Answer:
I believe it's A and D.
If I helped you're welcome. If I didn't I'm sorry.
Answer:
A and D
Step-by-step explanation:
im not too good on fractions but hopefully its right
D
+
32°
41°
A
C
B.
O
mZB =" [?]
Answer:
what is the question? where is the diagram?
What mistake did she make?
Step-by-step explanation:
According to the pythagrean equation, it should be
[tex]AC^2 = AB^2 + BC^2\\[/tex]
8² = 6² + BC²
64 = 36 + BC²
BC² = 28
BC = ✓28 = 5.29
Explain why Roy’s diagram is not correct.
Answer:
Looks like he scaled it 2 1/2, not 1 1/2
Step-by-step explanation:
proportionally he went from CR of 4 units to CZ of 10 units. That's a 2 1/2 scale increase, not 1 1/2.
Who is good at accounting
Please answer
Answer:
I'm
Step-by-step explanation:
does this question make any sense ?
Martha made a purchase for $70.20 including 8% sales tax.
What was the total before tax?
Answer:
64.58
Step-by-step explanation:
100%-8%=92%
70.20*92%=64.58
what's is the magnitude of vector i+j+k
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
2/5 meters into centimeters
I need help please it will mean a lot
Answer:
The answer is B (2).
Step-by-step explanation:
Answer:
2
you replace the w with 30
30/6=5
then you subtract 3
5-3=2
WHAT IS THE AREA OF THE SHADED REGION?
Answer:
240cm
Step-by-step explanation:
Barb makes 2.5 pounds
of mashed potatoes to
feed 15 people. How
much will she need to
make to feed 50
people?