Answer:
fhfgb
Step-by-step explanation:
ffhfdhdd
Here we want to make a system of equations and solve it for the smallest angle of a triangle.
We will find that the smallest angle is 5.625°
First, let's define the variables:
a₁ = smallest angle
a₂ = middle angle
a₃ = largest angle.
We know that the sum of all interior angles of a triangle is equal to 180°, then we can write:
a₁ + a₂ + a₃ = 180°
We also know that:
"the largest angle of a triangle is the sum of the other two angles"
This can be written as:
a₃ = a₁ + a₂
And we know that:
"The smallest angle is one 16th of the largest angle"
Then:
[tex]a_1 = \frac{a_3}{16}[/tex]
Writing together these 3 equations we get our system:
a₁ + a₂ + a₃ = 180°
a₃ = a₁ + a₂
[tex]a_1 = \frac{a_3}{16}[/tex]
Now we want to solve this for a₁
To do it we need to replace equations into other equations.
How do we do this?
Notice that in the third equation we have:
a₃ = a₁ + a₂
Then we can replace it in the first equation:
a₁ + a₂ + a₃ = 180°
(a₁ + a₂) + a₃ = 180°
a₃ + a₃ = 180°
2a₃ = 180°
a₃ = 180°/2 = 90°
a₃ = 90°
Now we can use the last equation:
[tex]a_1 = \frac{a_3}{16}[/tex]
To get the value of the smallest angle:
[tex]a_1 = \frac{90 \°}{16} = 5.625 \°[/tex]
If you want to learn more, you can read:
https://brainly.com/question/12895249
How many zeros are in the product of any nonzero whole number
Answer:
2 zeros for odd numbers less than 10
3 zeros for even numbers less than 10
Step-by-step explanation:
Non-zero whole numbers less than 10 are;
1, 2, 3,4, 5, 6, 7, 8, and 9
The odd numbers include:
3, 5, 7, and 9
The product of 500 and any of these numbers will contain 2 zeros, the ones in the number 500.
On the other hand, the even numbers include;
2, 4, 6, and 8
The product of 500 and any of these numbers will contain 3 zeros of which 2 are the ones in the number 500 and 1 zero is as a result of multiplying 5 by an even number.
-56-(-95) plss help plsssssssssssssssssssssssssssssssssssssssssss
-56 - (-95) = -56 + 95 =
= 95 + (-56) = 95 - 56 =
= 39How much money must you set aside at age 40 to accumulate retirement funds of $100,000 at age 65, assuming a rate of interest of 7 percent?
Answer:
$18,424.92
Step-by-step explanation:
Assuming this is compound interest, we'll have to use this formula
A = P(1 + r)ⁿ
A = Final amount (100,000)
P = Starting amount (?)
r = Rate (.07)
n = Years (?)
65 - 40 = 25
This means you will save for 25 years, making n = 25
So far, our equation looks like this: 100,000 = P(1.07)²⁵
To isolate the variable, P, divide both sides by 1.07²⁵
100,000/1.07²⁵ = P(1.07)²⁵/1.07²⁵
P = 18,424.917752223962
You would need to set aside around $18,424.92 if you want to accumulate $100,000 in 25 years with 7% compound interest rate.
help me please. i've tried this so many times, writing it out, calculator. nothing's worked
Answer:
-27
Step-by-step explanation:
y7 + 4x
(-1)7 + 4(-5)
-7 + (-20)
-27
jenny can run 4 5/6 miles in 2/3 of an hour how many miles can she run in one hour
Answer:
29/4 miles
or if simplified, 7 1/4 or 7.25
Complete the number sentence:
7 2/5 + ___ = 8
Answer:
3/5Step-by-step explanation:
7 2/5 + ___ = 8
(As on left side there is 7 2/5 on right side it will be -7 2/5)
=> ____ = 8 - 7 2/5
(Converting - 7 2/5 to improper fraction that is -37/5)
=> ____ = 8 - 37/5
=> ____ = (40 - 37)/5
=> ____ = 3/5
Hence,
3/5 is the answer
find f(-3)
f( x) = 2x^2-3x+4
Answer:
f(-3)= 2 (-3)² - 3(-3) +4 = 2(9) +9+4=18+9+4= 31
I hope I helped you^_^
I'LL GIVE A BRAINLIEST
Write the equation of the line that is parallel to x – 3y = 9 and passes
through the point (3, -1).
Step-by-step explanation:
the equation of the line that is parallel to
x – 3y = 9
=> the slope = -1/-3 = ⅓
passes through the point (3, -1) =>
y -(-1) = ⅓(x -3)
y+1= ⅓x - 1
y = ⅓x -1-1
y = ⅓x - 2
or
x -3y = 6
name two points that are not contained in or lying in plain p
provide at least two ways to name plane P
Answer:
Points W and Zplane QRS; plane STUStep-by-step explanation:
a) points not on the plane will be somewhere other than on the shaded area representing plane P. Z and W are two such points.
__
b) The name can consist of any three points not on the same line. That means names RVX, RSU, TUV are not allowed, but any other combination of these letters, along with the letter Q, can be used. A couple of possible names are ...
QRS, STU
PLEASE HELP meee!! ┗( T﹏T )┛ A point is plotted on the number line at 234 . A second point is plotted at −413 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
7 1/12
Step-by-step explanation:
i just know
Answer:
its -4 1/3
Step-by-step explanation:
HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Solve 4x − 2(x + 1) = 3x + 10
a)x = −12
b)x = 12
c)x = −8
d)x = 8
Answer:
= −12
Step-by-step explanation:
Answer:a)-12
Step-by-step explanation:
4x-2(x+1)=3x+10
4x-2x-2=3x+10
2x-2=3x+10
Collect like terms
-2-10=3x-2x
-12=x(a)
52(7)^1/5
Need help solving this problem. I don’t have Ti-84 Calculator yet
Answer:
[tex]52 \sqrt[5]{7} [/tex]
Step-by-step explanation:
[tex]52(7 {)}^{ \frac{1}{5} } [/tex]
[tex] = 52 \sqrt[5]{7} [/tex]
11. Convert the measurement.
330,000 CL =
_ dal
33,000 dal
33 dal
330 daL
3,300 dal
Answer:
33 ooo dal answer sir beucase I think so
Step-by-step explanation:
Answer:
330 dal. 330,000/1,000 = 330. hope this helps
Step-by-step explanation:
- Zombie
Select the pie chart that accurately represents Sabrina's variable expenses for the month of June.
Sabrina compiled a list of her variable expenses for the month of June to analyze her spending habits.
June
$327.32
Expense
groceries
fuel and transportation
costs
$103.15
$26.15
clothing
dining out
$122.56
entertainment
$78.16
Answer:
BOTTOM RIGHT CHART, JUST TOOK THE TEST
Step-by-step explanation:
PLATO
suppose there is an 80 percent rain each day. on day that it rains ,kathy has a 45 percent chance of being late, compared to a 30 percent chance when it does not rain.On a random day, what is the probability that kathy will be late?ce of being late, compares
Answer:
.8 * .45 = .36 = 36%
.2 * .3 = .06 = 6%
is is late 42% of the time
Step-by-step explanation:
Find the standard form of the equation of the circle with endpoints of a diameter at the points (3,4) and (-9,6).
Answer:
(x + 3)² + (y - 5)² = 37Step-by-step explanation:
The center is the midpoint of the diameter, the coordinates are:
x(M) = (3 - 9)/2 = -3y(M) = (4 + 6)/2 = 5The length of the diameter:
[tex]d = \sqrt{(-9-3)^2+(6-4)^2} = \sqrt{12^2+2^2} = \sqrt{148} = 2\sqrt{37}[/tex]The radius is:
r = d/2 = [tex]2\sqrt{37} /2 = \sqrt{37}[/tex]The standard form is:
(x - h)² + (y - k)² = r², where (h, k) is the centerSubstitute to get:
(x - (-3))² + (y - 5)² = (√37)²(x + 3)² + (y - 5)² = 37171. Solve the formula
the picture quality is low
Step-by-step explanation:
therefore I can't give answer of your question
Jim is running a race against his best friend Ryan. Jim runs at a rate of 18 miles in 3 hours
Answer:
Speed of Jim=18miles/3hours=6miles/hour
what number is less than -12
answer choices:
F: -14
H: -3
G: -11
J: 4
some pls help meee
Hey there! Your answer is:
F.) -14
Here's why:
The higher a number goes when it's negative the smaller the number is. The higher a number goes when it's not a negative number the bigger it is.
I hope this answer helped you out! Have a great day/night :)
Write -3 2/5 as a decimal number
Answer: -3.4
Step-by-step explanation:
[tex]-3\frac{2}{5} \\-\frac{3*5+2}{5} \\-\frac{15+2}{5} \\-\frac{17}{5} \\= -3.4[/tex]
What is the smallest fraction a learner must know in grade 3
Step-by-step explanation:
Fractions are numbers and can be shown on a number line:
Fractions represent equal parts of a whole object or shape:
Whole numbers can be expressed as fractions: For example: 4 = 4⁄1 and 1 = 4⁄4
Help plz this is due late so plz help me
Answer:
1st option
Step-by-step explanation:
Each exponent inside the bracket is multiplied by the exponent outside , that is
[tex](\frac{2^{5} }{3^{2} )} ^{4}[/tex]
= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]
= [tex]\frac{2^{20} }{3^{8} }[/tex]
Mary says that 43 is a 2-digit odd number that is composite. Is she correct?
1 less than twice the sum of a number and 3
Answer:
2(x + 3) - 1
Step-by-step explanation:
Let [tex]x[/tex] represent the unknown number.
From the information given, we can form the equation
[tex]2(x+3)-1[/tex]
Breakdown:
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
IF 4 bottles of juice cost $7, how much would 9 bottles cost
I am giving 40 points!
Help please!
Answer:
I'm pretty sure it would be $13.50
Answer:
$15.75
Step-by-step explanation:
7 divded by 4 = 1.75
Simply take 1.75 and multply it by 9, giving you 15.75
$15.75
5 less than 3 times a number is 7. How would I write this as an equation
Answer:
The equation would be 5-3x=7
Step-by-step explanation:
5 less than indicates subtraction, and 3 times a number indicates both values being multiplied with each other, so it's 3x. Hope that helped.
which property is illustrated by the following ?
if r = -12, then r - 16 = -28
which of the following pairs of functions are inverses of each. a) f(x)=18/x and g(x)=18/x+9
Answer:
f(x)= x/3+4 and g(x) = 3x - 4
Step-by-step explanation:
Which of these numbers is the greatest
A. 3,213,213
B. 7.8 x 10^5
C. 6.3 x 10^6
D. 11,014,114
Answer:
D
Step-by-step explanation:
A= 3,213,213
B= 780,000
C= 6,300,000
D= 11,014,114
plese help me fast I will mark you brainlist
[tex]\\ \sf\longmapsto 5x+5+4x-5=180[/tex]
[tex]\\ \sf\longmapsto 5x+4x+5-5=180[/tex]
[tex]\\ \sf\longmapsto 9x=180[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{180}{9}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
y=x=20z=5x+5=5(20)+5=100+5=105Step-by-step explanation:
hope this helps u ✌️✌️
Make mister as brainliest
