A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
are the measures of those two angles?
Step-by-step explanation:
Need to FinD :We have to find the measures of other two angles of triangle.[tex] \red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}[/tex]
We know that,
The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.Angle sum property,
The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}} [/tex]
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
[tex]\rule{200}{3}[/tex]
Second AnglE :
3x3 × 1030°∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
[tex]\rule{200}{3}[/tex]
Third AnglE :
14x 14 × 10140°∴ Hence, the measure of the third angle of the triangle is 140°.
Joe has $6.40 in nickels and quarters. He has two more nickels than quarters. How many quarters does Joe have?
Answer:
Quaters - Q=12
Dimes - D=10
Nickels - N= 48
Step-by-step explanation:
First, notice that $6.40 = 640 cents. The corresponding linear equation and a solution is shown below in several steps:
Original equation for amount of Dimes (D):
10*D + 25*(D+2) +5*4*(D+2) = 640
Simplified as following, resulting in the answer for D:
55*D=550
D=10
thus having the amount of Quarters:
Q=12
and correspondingly, amount of Nickels:
N= 48
Answer:
Quarters = 12
And correspondingly, amount of Nickels:
Nickels = 48
71.6 less then or greater then 71.63
Answer:
less
Step-by-step explanation: 71.6 can also be seen as 71.60 therefore 71.63 is greater
Answer:
Less than.
Think of .6 as the tenths place to tens place.
.63 is 6 tenths and 3 hundredths, so 63.
Now ask yourself, "Is 63 greater than 60?"
And your answer is yes.
3. Suppose a serial number must consist of four different digits, followed by two
different letters. How many different serial numbers are possible?
Answer: 6,760,000 different possible serial numbers.
Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.
Find the sum of the first 45 terms of the following series, to the nearest integer. 2,11, 20, ...
Answer:
[tex]S_{45}[/tex] = 9000
Step-by-step explanation:
there is a common difference between consecutive terms , that is
11 - 2 = 20 - 11 = 9
this indicates the sequence is arithmetic with nth term
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 2 and d = 9 , then
[tex]S_{45}[/tex] = [tex]\frac{45}{2}[/tex] [ (2 × 2) + (44 × 9) ]
= 22.5(4 + 396)
= 22.5 × 400
= 9000
7% of 500 is use the percent formula A=PB A is percent of B
9514 1404 393
Answer:
35
Step-by-step explanation:
A = PB
A = (7%)(500) = 0.07×500 = 35
35 is 7% of 500
_____
You can think of the % symbol as being a shorthand way to write /100. That is, ...
7% = 7/100 = "seven hundredths" = 0.07
The sum of the BLANK of the plane figure is called the perimeter
Answer:
sides
Step-by-step explanation:
The perimeter is equal to the sides of the plane figure all added together.
Solve the following equations for x (5 points each). (a) -3x+10=34 and (b) 13x-4=11x+10-8
please show work
Answer:
A)x=-8 B)x=3
Step-by-step explanation:
A)-3x+10=34 -3x+10-10=34-10 -3x/-3=24/-3 x=-8
B) 13x-4=11x+10-8 13x-4+4=11x+10-8+4 13x-11x=11x-11x+6 2x/2=6/2 x=3
Solve for Z please will give brainliest
Answer:
z=6
Step-by-step explanation:
32=12+4(z-1)=
32=12+4z-4
32=8+4z
24=4z
6=z
Jack is 4 times as old as Lacy. 9 years from now the sum of their ages will be 63. How old are they now?
Jack is
years old while Lacy is
years old.
Answer:
jack is 54 and lacey is 13.5. I think
Step-by-step explanation:
Let Jack be J and Lacy be L.
First equation: J=4L
Second equation: (J+9)+(L+9)=63
Solving using substitution:
4L+9+L+9=63
5L+18=63
5L= 45
L = 9
L=9 and J=4L = 4*9 = 36
So Jack is 36 years old and Lacy is 9 years old.
The health of employees is monitored by periodically weighing them in. A sample of 54 employees
has a mean weight of 183.9 lb. Assuming that o is known to be 121.2 lb, use a 0.10 significance level
to test the claim that the population mean of all such employees weights is less than 200 lb.
Traditional Method
I need to know how to do the Traditional way with a step by step because I am not understanding it at all.
I need help doing this I don't pay attention in class now I'm lost
Answer:
i think the answer is 6498
Step-by-step explanation:
Answer:
6498
Step-by-step explanation:
Pay attention in class :)
Okay, so basically, you just need to replace x and y with the corresponding numbers.
So our equation would be:
9 * 2(5 * 7 - 8 * 2) squared
Now we solve with PEMDAS:
9 * 2(35 - 16)squared
9 * 2(19)squared
9 * 2(361)
18 * 361
6498
Let me know if I did something wrong!
Plss help mee
you need to show your work
At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)
Answer:
66.00
Step-by-step explanation:
eleven pies have 6 slices each
Multiply 6 by 11 to get 66
66x1.00=66.00
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 13 of the 62 boxes on the shelf have the secret decoder ring. The other 49 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?
Answer:
I'm pretty sure it is 7.4% or 0.074.
Step-by-step explanation:
Answer:
0.041 = 4.1%
Step-by-step explanation:
The probability the first box has a secret decoder ring is 13/62.
The probability the second box has a secret decoder ring is 12/61.
The probability of both is:
P = (13/62) (12/61)
P ≈ 0.041
A tree casts a shadow of 24 ft. At the same time, a 6 ft adult casts a shadow of 2 ft. what is the hight of the tree?
Answer: 8ft tall
Step-by-step explanation:
6/2=3
24/3=8
so the tree is 8ft tall
Is -13 a natural number whole number integer rational number irrational number or a real number
Answer:
-13 is an integer, a rational number and also a real number
Step-by-step explanation:
-13 is an integer, a rational number and also a real number
Find the value of n.
3+ (2 + 8) = (3 + 2) + n
Answer: n=8
Step-by-step explanation: 3+2+8=13
3+2=5 so 13-5=8
Answer:
n=8
Step-by-step explanation:
PEMDAS:
Solve out each side then subtract 5 from the side with n.
Work:
3+(2+8)=(3+2)+n
3+10=5+n
13=5+n
8=n
A rectangle has a length of 3x – 1 and a width of 2x + 4. Find the perimeter of this rectangle. Then find the area of the rectangle.
Answermmm
Step-by-step explanation:
fff
Answer:
Area:
(3x-1) * (2x+4) = 6x² + 10x - 4
Perimeter:
((3x-1)*2) + ((2x+4)*2) = 10x + 6
what is the volume of 1.5ft , 3ft , 5ft
Answer:
22.5
Step-by-step explanation:
To find volume, you need to multiply all of the numbers together.
1.5 ft x 3 ft x 5 ft = 22.5
What is the sum of -6 4/5 and -6 4/5
Answer:
i may be correct or not, i am not sure
Step-by-step explanation:
-34/5+-34/5 is -68/5 which is 13 3/5
Answer:
-13[tex]\frac{3}{5}[/tex]
Step-by-step explanation
[tex]-6\frac{4}{5} + -6\frac{4}{5}[/tex]
calculate
-13[tex]\frac{3}{5}[/tex]
if 8 times a number is added to twice the number, the result is 80.
whats 1.07 x 30 in standard form
Answer:
The simple answer is 32.1
Step-by-step explanation:
It might look easier if you add 1 x 30 and 0.07 x 30.
Answer:
The correct answer is 32.1
Step-by-step explanation:
which expression has the greatest value?
1. 4 - 2^-2
2. 4 - 2^2
3. 4(-2)^2
4. -4(-2)^2
3nomber is right
Is it helpfui
I think its 3! ^w^
Sawarasenai kimi wa shoujo na no?~
could you pls help me i have the question in the picture ok
Step-by-step explanation:
the answer is 44 you have to multiply 3 and 11 and you'll get 8 then calculate 33-8 and then subtract and then you get 25 so you put 44
Evaluate the algebraic expression d - b when b = 3, d = 12, h = 2 and r = 7.
Answer:
Step-by-step explanation:
d-b
d=12
b=3
12-3
=9
hope dis helps
what is alergbra about and why ?
Answer:
Simply put, algebra is about finding the unknown or putting real life variables into equations and then solving them. ... Algebra can include real numbers, complex numbers, matrices, vectors, and many more forms of mathematic representation
Step-by-step explanation:
which fractions equal three? need help ASAP.
Answer:
anything that has a numerator three times greater than its denominator. Examples: 3/1, 6/2, 9/3, 12/4, 15/5, so on.
Step-by-step explanation:
When simplifying, you divide both by the denominator and if it equals three, then the fraction is equal to three.
lf x = 4 and y = 7, evaluate the following expression:
3(x + y)
3(4+7)
Simplify
3(11)
Multiply
3 x 11 = 33
So, the answer is 33.
find the zeros of x^4-10x^3+35x^2-50x+24=0
Answer:
x=1 or x=2 or x=3 or x=4
Step-by-step explanation:
x4−10x3+35x2−50x+24=0
Step 1: Factor left side of equation.
(x−1)(x−2)(x−3)(x−4)=0
Step 2: Set factors equal to 0.
x−1=0 or x−2=0 or x−3=0 or x−4=0
x=1 or x=2 or x=3 or x=4
Find the real-number root.
√1.44
1.2
no real roots
2.07
0.72
Answer: A. 1.2
Step-by-step explanation:
The principal, real, root of:
2^√1.44
=1.2
All roots:
1.2
−1.2
1.44 is not a perfect square