Answer:
11/ 20
Step-by-step explanation:
Given that:
Fraction traveled on first day = 1/4
Fraction traveled on second day = 1/5
In fraction form, the total distance to be traveled is represented as 1
Total distance covered during the two days ;
(1/4 + 1/5)
L.C.M of 5 and 4 = 20
(5 + 4) / 20
= 9/20
Distance left to cover :
Total distance - total distance already covered
1 - 9/20
(20 - 9) / 20
11 / 20
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
Evaluate the expression when g=7 and h= 5 8h + g
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n
Answer:
The value of n is 2.
Step-by-step explanation:
The total number of people in the choir = 60
Number of women in the choir = 30
Let the number of men in the choir be represented by x, so that;
Number of women = 3x
So that;
3x = 30
x = [tex]\frac{30}{3}[/tex]
= 10
The number of men in the choir is 10.
the number of children in the choir: the number of men in the choir = n:1
number of children in the choir = 60 - (number of women + number of men)
= 60 - 40
= 20
number of children in the choir = 20
Thus,
the number of children in the choir: the number of men in the choir = 20:10
= 2:1
The value of n is 2.
Answer:
20 men in the choir and 40 children
Step-by-step explanation:
Convert the following repeating decimal to a fraction in simplest form.
.27
Which number has a 5 in the ten thousandths place?
0.20815
0.30256
0.40571
0.50098
Answer:
b
Step-by-step explanation:
Step-by-step explanation:
second option
0.30256
it's got 5 in ten thousandths place.
have a great day :)
19. If 1:3=4:x, then what is the value of x
9
12
4/3
15
Answer:
Step-by-step explanation:
1 : 3 : : 4: x
Multiply 1 and x and multiply 3 and 4
x = 12
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
(10 points) help!!! Pls
Answer:
There's 3 answers: the third, fourth, and the sixth one. 1 2 3
4 5 6
Step-by-step explanation:
The expression in the question gets simplified to p-6, and so does the third one, fourth one is just itself, and the sixth one also simplifies to p-6.
Which is not a representation of the equation y = 0.5x - 2?
Select one: just look at the picture.
Answer:
D is incorrect so ur answer is D
Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6
Please Help! Freshman in high-school Algerbra 1
Answer:
yes
Step-by-step explanation:
0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof
What Is the value of -6?
Answer:
the value of -6 is -6
Step-by-step explanation:
If your expression contains square roots, during which step of PEMDAS do you solve them?
Answer:
E
Step-by-step explanation:
"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."
If each interior angle of a regular polygon measures 120 , how many sides does the polygon have?
Answer:
the ans is 6 sides i guess
[tex]\huge\sf{Answer :- }[/tex]
Given :- Each interior angle of regular polygon is 120°To Find :- Number of sides of the polygon Formula :-Interior angle of the polygon = [180(n - 2)]/n
where,
n = sides of the polygonSolution :-Let, The number of sides of polygon be n
By substituting values according to the formula,➯ [180(n - 2)]/n = 120°
➯ 180n - 360 = 120n
➯ 180n - 120n = 360
➯ 60n = 360
➯ n = 360/60
➠ n = 6
Hence, The regular polygon have 6 sidesCan you please help with both? :)
Answer: 1. 12 2. 120
Step-by-step explanation:
1. so basically 9/6=18/x
since they are similir the'd have the same ratio
sooo you just solve for x (multiply 6 by 18, and then divide by 9) and you get 12
2. same thing except you put 6/10=12/x, and solve it (multiply 10 by 12 and divide by 6) and u get 20
dats how i would do it but there are other ways too im sure :)
hope this helps
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
2 1/3 cm
Step-by-step explanation:
Area = length x width
w = width
7/3 = 6/5w
cross-multiply: 30w = 70
w = 7/3 or 2 1/3
(I BEG U TUTORS HELP) the value if x=9 a solution to the system of equations shown below. Where b is some unknown constant. Determine the value of b. Show how you arrived at your answer
y=2x-20
y= -5x+b
Answer:
b = 43
Step-by-step explanation:
So let's plug things in first:
y= 2x - 20 and y= -5x +b which can become →
2x - 20 = -5x + b (now you said that x=9 so let's plug that in)
2(9) -20 = -5(9) + b (now try solving that)
18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)
43 = b ( and there's your answer )
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet
Answer:
The correct answer is D: 5x3 + 11x5 ft
Step-by-step explanation:
Answer:
The correct answer is D: 5x3 + 11x5 ft
Step-by-step explanation:
What is the measure, in radians, of central angle POQ? StartFraction 2 pi Over 3 EndFraction radians StartFraction 3 pi Over 4 EndFraction centimeters StartFraction 4 pi Over 3 EndFraction radians StartFraction 3 pi Over 2 EndFraction radians
Answer:
The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
Using formula:
[tex]\to \bold{\theta = \frac{S}{r}}[/tex]
Where,
[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]
[tex]\to \theta = \frac{PQ }{OQ}[/tex]
[tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]
The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.
Line segments PO and QO are radii.
We need to find the radian measure of central angle POQ.
How to find the relation between angle subtended by the arc, the radius and the arc length?[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]
The superscript 'c' shows angle measured is in radians.
If the radius of the circle is of r units, then:
[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]
We know that
π radians = 180°
Therefore,
180° = π radians
135° = x
180° × x = 135° × π radians
x = 135° × π radians/180
x = 3π/4 radians
Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.
Learn more about angle, arc length relation here:
https://brainly.com/question/15451496
#SPJ5
Hello. I was stuck on this. Can you please help? Will give brainliest answer to the best one. Theres no need to go into a big explanation, just saying. Will give 5 stars and thanks.
Answer:
graph C
Step-by-step explanation:
Well I lik it spread out cause you get more information and you can tell how the data is aligned and not scrunched up. Since the example said that the explanatory variable (indepdent variable) is best on the X axis, only C and A are left. A is all scrunch’s up and data could be read worng, but C is nice and spread and it shows all the data and rating clearly
Find the balance in Grace's account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%. A.)29762.50 B.)2862.50 C.)2762.50 D.)2772.50
Answer: C.)2,762.50
Step-by-step explanation:
The bank is paying a simple interest of 5.25%.
After 2 years, Grace's account will have:
Simple interest:
= Principal * ( 1 + rate * years)
= 2,500 * ( 1 + 5.25% * 2)
= $2,762.50
Square CDFG below contains several angles. Which pairs of angles in square CDFG are complementary? Select all that apply. С C D 27° 63° | М 64° 26° G F UL Angles DCM and MCG Angles MGF and MGC Angles FGM and MCD Angles DCM and DMC
Answer:
angles FGM and MCD, angles DCM and DMC
Step-by-step explanation:
Answer:
angles FGM and MCD, angles DCM and DMC
Step-by-step explanation:
Ту
5
How many points need to be removed from this graph
so that it will be a function?
4
3
2
1
1 point
O 2 points
O 3 points
O 4 points
2 3 4 5
х
54 -3 -2 -11
-24
-3
.
-4
.
Answer:
We need to remove 3 points from 3 duplicated pairs so this graph so that it will be a function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From the graph, we can determine the table such as:
x y
-3 2
-3 3
1 4
1 -4
2 -2
2 -4
It is clear that the values of x = -3, x = 1, and x = 2 are repeated twice.
In other words, there are 3 duplicated pairs.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Thus, we need to remove 3 points from 3 duplicated pairs so this graph so that it will be a function.
Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?
Answer:
[tex]\$100 = 8200\ Yen[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
Step-by-step explanation:
Given
[tex]\$ 1 = 82\ Yen[/tex]
Solving (a): Equivalent of $100
Represent this with x.
So, we have:
[tex]\$100 = x[/tex] and
[tex]\$ 1 = 82\ Yen[/tex]
Cross Multiply:
[tex]x * \$1 = 82\ Yen * \$100[/tex]
[tex]x * 1 = 82\ Yen * 100[/tex]
[tex]x = 8,200\ Yen[/tex]
Hence:
[tex]\$100 = 8200\ Yen[/tex]
Solving (b): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 10
[tex]10 *\$100 = 8200\ Yen * 10[/tex]
[tex]\$1000 = 82000\ Yen[/tex]
Solving (c): Equivalent of $1000
In (a)
[tex]\$100 = 8200\ Yen[/tex]
Multiply both sides by 100
[tex]100 *\$100 = 8200\ Yen * 100[/tex]
[tex]\$10000 = 820000\ Yen[/tex]
A t-shirt costs $12. You have a 25% off coupon. How much will the t-shirt cost?
Answer:
The shirt would be $9 dollars because $3 dollars is 25% of 12.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
25%=/4
12/4=3
3*3to get 75%=9
solve for x 2|x|+5=11
Answer:
Solve for x over the real numbers:
abs(x) = 3
Hint: | Eliminate the absolute value.
Split the equation into two possible cases:
Answer: x = 3 or x = -3
Step-by-step explanation:
Please help me, I don't know the difference between an expression and an equation. XD
Step-by-step explanation:
ahhhhhhhhhhhhhhhhhhhhh
can anyone help me with the answers?
A $50 shirt is on sale for
$42. What percent does the
customer save?
A person invests $6,650 in an account that earns 5.23% annual interest compounded continuously. Find
when the value of the investment reaches $15,000. If necessary round to the nearest tenth.
The investment will be reach $15,000 in approximately ______ years.