Answer:
x = 40
smaller angle is 80
larger angle is 100
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Hence, x + 40 + 3x - 20 = 180
( note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
x + 40 + 3x - 20 = 180
step 1 combine like terms
x + 3x = 4x
40 - 20 = 20
we now have 4x + 20 = 180
step 2 subtract 20 from each side
180 - 20 = 160
we now have 160 = 4x
step 3 divide each side by 4
160 / 4 = 40
4x / 4 = x
we're left with x = 40
we now plug in 40 for x to find the value of each angle
x + 40
* substitute 40 for x *
40 + 40 = 80
3x - 20
* substitute 40 for x *
3 ( 40 ) - 20
3 * 40 = 120
120 - 20 = 20
so the larger angle is 100 degrees and the smaller angle is 80 degrees
Lillyana deposits $1000 in a savings account at a 2.6% interest rate. If she does not touch the money (makes no
deposits or withdrawls) for 5 years, how much money will be in the account in 5 years?
Answer:
1130
Step-by-step explanation: hope this helps <3
As 1,000 earns simple interest at the rate of 3% each year. The interest is paid at the end of every month. How much interest will the bond have earned after 3 months?
9514 1404 393
Answer:
$7.50
Step-by-step explanation:
The monthly interest rate is 3%/12 = 1/4%. The dollar amount of interest earned in 3 months is ...
I = Prt = $1000(0.0025/mo)(3 mo) = $1000(0.0075) = $7.50
………………………………………………….
Answer:
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]
Tan(Ф) = [tex]\frac{12}{5}[/tex]
Hope this helps!
Define sedimentary rock.(1 point)
Sedimentary rock is a type of rock that is formed over long periods of time by the transformation of existing rock types. The original rock is subjected to large heats and pressures causing very large changes.
Sedimentary rock is a type of rock formed over long periods of time by the cooling and solidification of molten Earth material.
Sedimentary rock is a type of rock that is formed in a very short period of time by sudden violent volcanic eruptions into the ocean. The hot molten material becomes rock very quickly in the cool water.
Sedimentary rock is a type of rock that is formed over long periods of time by layers of silt building up on the floor of a body of water, which is then subjected to the immense weight of the ocean above it.
Answer:
ok I think the answer is the second one
Jun and Deron are applying for the summer job at a local restaurant. The probability that Jun gets the job is 0.7, the probability that Deron gets the job is 0.4, the probability that at least one of them gets hired is 0.9. What is the probability that both Jun and Deron get hired
Answer:
The probability that both Jun and Deron get hired=0.2
Step-by-step explanation:
Let
A=Jun
B=Deron
We are given that
The probability that Jun gets the job, P(A)=0.7
The probability that Deron gets the job, P(B)=0.4
The probability that at least one of them gets hired, [tex]P(A\cup B)=0.9[/tex]
We have to find the probability that both Jun and Deron get hired.
We know that
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
Using the formula
[tex]0.9=0.7+0.4-P(A\cap B)[/tex]
[tex]P(A\cap B)=1.1-0.9[/tex]
[tex]P(A\cap B)=0.2[/tex]
Hence, the probability that both Jun and Deron get hired=0.2
Jane has 27 cats , max has 6, Jasmine has 98 how many altogether?
Hello~
All you have too do is add!
27+6+98=
Simplify
27+6=33
Add again
33+98= 131
So its 131!
Ary~
HELP PLZZ HURRY IMA GET A ZERO
Answer:
m∠G= 180° - ( 59+77 )°
Step-by-step explanation:
pls help! brainliest and thanks! :)
Step-by-step explanation:
these angles will add to 90 deg
90 = 22 + 2x
solve for x
Answer:
x = 34°
2x = 68°
Step-by-step explanation:
Both angles are complementary (add up to the sum of 90°), so we can say;
22 + 2x = 90°
2x = 90 - 22
2x = 68
x = 68 / 2
x = 34°
Furthermore:
If you have to find the value of 2x it would be 68, since
2x = 2(34) = 68°
Hope this helps!
can someone please help me with these 2 questions
*No links* Need help asap
Answer:
shown below
Step-by-step explanation:
GDO=21
x=3 and i cant figure out DOG or DGO
The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36º.
Find the length of the longer diagonal to the nearest whole number.
A.44ft
B.105 ft
C.69 ft
D.64 ft
Step-by-step explanation:
the longer diagonal is =
√(40²+70²+2(40)(70)cos 36°)
= √(1600+4900+5600(0.8))
= √ 6500 + 4530
= √11,030
= 105 ft
The perimeter of a rectangular swimming pool is 154m.Its length is 2m more than twice its breadth. What are the length and breadth of the pool.
[tex]P = 154\\a = 2b + 2[/tex]
a = ?; b = ?
[tex]P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4[/tex]
[tex]154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25[/tex]
[tex]a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52[/tex]
Answer: 25 and 52 m.
Complete the table below.
Answer:
4 , 2, 8, 4 ..............
FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP AND SHOW WORK
Answer:
247.21
Step-by-step explanation:
equation for height : c= a2 + b2
4.82 + 9.32
≈10.46566
equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2
5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2
≈247.21018
round to nearest hundredth: 247.21
Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $ 107 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
b
Step-by-step explanation:
Evaluate the radical.
3√512
Enter your answer in the box.
Answer:
The Answer is 8.
Its the only Number that Multiplies itself three times to give 512.
So the Cube root of 512... Should be 8.
Answer:
8.
Step-by-step explanation:
512 = 64* 8
∛512 = ∛64 * ∛8
= 4 * 2
= 8.
BRAINLIST QUESTION
what is the value of x?
Answer:
9
Step-by-step explanation:
Answer:
6x+16+20=90
6x+36=180
6x=180-36
6x=144
x=144/6
x=26°
SOMEONE PLEASE HELP ME
1. Simplify the expression
(b^6)^9
2. Rewrite as a base to a power, if possible
7^9/7^2
Answer:
1) b⁵⁴
2) 7⁷
Step-by-step explanation:
When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.
When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.
PLEASEEE HELPPP its due in 10 mins PLSSS
Answer:
About 525 times.
Step-by-step explanation:
You have a 5 in 8 chance of getting a consonant originally. You should try to find an equal ratio except with 840 as the second number. As of now it's 5/8 = ?/840
8 is a factor of 840 and if you divide 840 by 8 you get 105. If you actually think about it 105/840 would be an equal ratio to 1/8 so you multiply 108 by 5 to get 525.
7. The variable expression 2p + 3 represents the word phrase [A] half Sam's age times three. [C] twice Sam's age times three. [B] three times Sam's age. [D] three more than Sam's age doubled.
D. three more than Sam's age doubled
Answer:
D) three more than his age doubled
Step-by-step explanation:
The volume of Cylinder A is 189 ft and the
volume of Cylinder B is 56 ft. If the cylinders are
similar, what is the ratio of surface area of
Cylinder A to the surface area of Cylinder B?
Please don’t put in a link
Answer:
27:8
Step-by-step explanation:
189/56 = 27/8
Please help and show work if you can
Answer:
x = 3
Step-by-step explanation:
According to Euclidian theorem (x+9)^2 = 18*8
(x+9)^2 = 144 find the root for both sides
x + 9 = 12 subtract 9 from both sides
x = 3
A, E and B lie on a straight line segment. C, D and B lie on a straight line segment. BD = 3m, CD = 12m and AB = 19m. Work out the length of BE. Give your answer as a decimal. please help
Answer:
3.8m
Step-by-step explanation:
If A, E and B lie on a straight line segment. C, D and B lie on a straight line segment, based on their similarities,
AB/CB = BE/BD
Given
BD = 3m,
CD = 12m
AB = 19m.
CB = CD+BD
CB = 12+3 = 15m
On substituting
19/15 = BE/3
Cross multiply
15BE = 19×3
15BE = 57
BE = 57/15
BE = 3.8m
Hence the length of BE is 3.8m
3 2/5 - 3/4
subtract
Answer:
53/20
Step-by-step explanation:
First convert 3 2/5 into 17/5
Now we need a like denominator for both fractions
20 works
lets convert 17/5 into 68/20
and 3/4 can turn into 15/20
68/20 - 15/20
53/20
Answer: 53/20 or 2 13/20
Step-by-step explanation:
hope this helps
This beach ball has a surface area of 379.94 inches². What is its diameter? Use 3.14 for π.
Answer:
11 inches
Step-by-step explanation:
We know that [tex]SA=4\pi r^2[/tex]. We know that [tex]SA=379.94[/tex] and that [tex]\pi\approx3.14[/tex]. We solve for [tex]r[/tex]: [tex]379.97=4\times3.14\times r^2[/tex]
[tex]r^2=30.25[/tex]
[tex]r=5.5[/tex]
Since [tex]d=2r[/tex], the diameter of the sphere is 11 inches.
Y=3x-2 y-2=x what is the soultions between the two equations
Answer:
(2, 4)
Step-by-step explanation:
"What is the solution of this system of equations?"
Substitute 3x - 2 for y in the second equation, obtaining:
3x - 2 - 2 = x
Consolidate like terms: subtract x from both sides and add 4 to both sides:
2x = 4. Thus, x = 2. Substituting 2 for x in the first equation, we get:
y = 3(2) -2 = 4.
Thus, the solution is (2, 4)
Answer these 2 for 50 points and brainiest and if you just try and answer with a fake answer i will report thx
Answer:
17
Step-by-step explanation:
for number 10 the answer is 24 - 7 = 17
A nurse has an annual income of $70,250. The nurse
will have to pay 13% income tax. What is the amount of
income tax in dollars and cents that the nurse has to
pay?
Answer:
$9132.5
Step-by-step explanation:
0.13 = 13%
0.13 times 70,250
$ 9132.5
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
T increased by 55 pls help no links or anything
Answer:
T increased by 55 =t+55
The Bell's dinner bill is $53.00. They leave a 20% tlp. How much money does the
waitress receive as a tip?
Answer:
I believe it is $63.60..........