can somebody help me solve this?
Answer:
z = 3.2 units
Step-by-step explanation:
sin 76°/z = sin 51°/2.6
cross-multiply to get:
z·(sin 51°) = 2.6·(sin 76°)
z = 2.6·(sin 76°) ÷ (sin 51°)
z = 3.2
Now, you do the math: Tell us if you can afford the apartment using the details below.
Your gross paycheck is $2100 per month.
You're looking at a very small one-bedroom apartment that rents for only $650 per month.
The electric bill runs about $60 per month for power.
You'll pay about $10 per month for gas.
An Internet line will cost you $20 per month.
You have to rent a parking space for your old buggy at $20 per month.
Can you afford to get this apartment?
Yes.
No.
If no, how much can you afford to pay in rent plus housing expenses?
Answer:
I think yes because u will have 760 leftover
4(3x + 2) - 5(6x - 1) = 2(x-8) - 6(7x - 4)
Answer:
12x+8-30x+5=2x-16-42x+24
-18x+13=-40x+8
22x=-5
x=-5/22
hopefully i did it with out mistakes
PLEASE ANSWER QUICKLY
What of the following is NOT a formula for circumference?
a) C=2πr
b) C=πr
c) C=πd
Answer:
The formula for circumfernce is C=pixd D is diameter
Step-by-step explanation:
Please help! I will give brainliest to the first correct answer!
Answer:
x=3 and y=1 so the answer is b
Step-by-step explanation:
hope it helped have a good day<3
Answer:
B
Step-by-step explanation:
image attached is the step by step "explanation
An isosceles triangle has an angle that measures 40°. Which other angles could be in that isosceles triangle? Choose all that apply. 70, 100,80,40
Given:
An isosceles triangle has an angle that measures 40°.
To find:
The other possible angles of the triangle.
Solution:
Case 1: 40° is the measure of base angle of isosceles triangle.
Then, the other base angle is 40°.
Let x be the measure of third angle.
The sum of all interior angles of a triangle is 180 degrees. So,
[tex]x+40^\circ+40^\circ=180^\circ[/tex]
[tex]x=180^\circ-40^\circ-40^\circ[/tex]
[tex]x=100^\circ[/tex]
So, the possible angles are 40° and 100°.
Case 2: 40° is the measure of vertical angle of isosceles triangle.
Let y be the measure of base angles, then
[tex]y+y+40^\circ=180^\circ[/tex]
[tex]2y=180^\circ -40^\circ[/tex]
[tex]y=\dfrac{140^\circ}{2}[/tex]
[tex]y=70^\circ [/tex]
So, the possible angles are 40° and 70°.
Therefore, the correct options are A, B and D.
Solve for x. Choose the best answer.
Answer:
x = 15
Step-by-step explanation:
cross multiply -->
8x = 120 *divide by 8 on both sides*
x = 15
CHECK:
5/8 + 15/24
multiply by 3 to get the second fraction
Answer:
x=15
Step-by-step explanation:
Sam, Raj and Jade have 12 sweets each. One quarter of Sam's sweets are blue. How many blue sweets does he have?
Step-by-step explanation:
Sam, Raj and Jade have 12 sweets each
(one person has 12 sweets)
Sam has 12 sweets
one quarter of Sam sweet is blue
1/4 = one quarter
1/4 * 12 = 3
Sam has 3 blue sweets.
Answer:
sam has 3 blue sweets
Step-by-step explanation:
[tex]\frac{1}{4} of 12 = 3[/tex]
if sam has 12 sweets and one quarter are blue then we need to work out one quarter of the twelve sweets. you need to do [tex]\frac{1}{4} of 12[/tex] which is 3 and [tex]\frac{1}{4} of 12[/tex] is the same as [tex]\frac{1}{4} times 12[/tex]
Answer each question and round your answer to the nearest whole number
Answer:
New width = 12 in.
Step-by-step explanation:
Original height = 2 in.
Original width = 3 in.
New height = 8 in.
New width = x = ?
The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.
Thus:
New height/original height = new width/original width
8/2 = x/3
Cross multiply
2x = 3*8
2x = 24
2x/2 = 24/2
x = 12
New width = 12 in.
On a boat tour there are half as many children as there are adults. There are 30 people. How many children are there.
Answer:
10 children, 20 adults
Step-by-step explanation:
Children=1/2Adults
adults+children=30
adults + 1/2 adults=30
1 1/2 adults =30
adults = 20
children =1/2 adults
children = 1/2(20)
children=10
Find each missing measure.
Answer:
m<A = 84
AC = 9
Step-by-step explanation:
We can find the measure of Angle A by using the sum of interior angles of a triangle theorem.
48+48+A=180
96+A=180
A=84
We can then use the isosceles triangle similarity theorem and reason that since this is an isosceles triangle and one of the side lengths (AB) is 9, the other (AC) would also be 9.
helppppppp meeeeeeee please
Answer:
33
Step-by-step explanation:
(3×3 )+(1/2 ×3×4) ×4 = 33
What is the radius of polygon JKLMN ?
Answer:
Radius of the circle is 5 units.
Step-by-step explanation:
JKLMN is a regular polygon inscribed in a circle.
Since, its a regular polygon,
JN = NM = 5.88 units
"Perpendicular drawn from the center of the circle to any chord is the bisector of the chord"
Therefore, PQ will be the perpendicular bisector of chord NM.
QM = [tex]\frac{1}{2}(NM)[/tex]
QM = [tex]\frac{1}{2}(5.88)[/tex]
QM = 2.94 units
By applying Pythagoras theorem in ΔPQM,
PM² = PQ² + QM²
PM² = (4.05)² + (2.94)²
PM = [tex]\sqrt{16.4025+8.6436}[/tex]
PM = [tex]\sqrt{25.0461}[/tex]
PM = 5 units
Therefore, radius of the circle is 5 units.
Please help me thanks :)
Answer:
A
Step-by-step explanation:
To sovle this we must combine the numbers togther and the variables togther.
We have:
8c+6-3c-2
Lets take out the c's and combine them:
8c -3c
=
5c
Now lets take out the numbers:
6-2
=
4
Now lets put these back together and we get the expression:
5c+4
This looks like A.
Hope this helps! :D
If a point on the pre-image has coordinates (3, -4), and the coordinates of its image are (12, -16), what scale factor was used for the dilation?
A.4
B.1
C.4
D.1/4
Answer:
c 4i think soc 4 yu need to be add
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
If you added 2 circles to the left side, how many squares would you have to add to the right side to keep it balanced?
Answer: 2 circle to the right
Step-by-step explanation:
You would need to add 2 circles to keep it balanced.
?????????????????? find the value of x
Answer:
x = 17
Step-by-step explanation:
We can infer that the angles are equivalent based on the opposite angle theorem and we can set the equations equal to one another:
(8x-22)=(5x+29)
from here, we can subtract 5x from each side leaving us with:
3x-22=29
Now add 22 to both sides:
3x=51
Now divide both sides by 3, leaving us with the value of x:
x=17
Given m||n, find the value of x.
+
>m
(5x+19)
(6x+1)°
How. Many 5s is in 200989
Answer:
40197 these many 5s make up 200985 so 4 are left to make 200989
Step-by-step explanation:
Answer:
40197.8
Step-by-step explanation:
200989 ÷ 5
40197.8
You invest $8,000 in an account that earns 4% compounded monthly. How much money are you going to have in 5 years?
hey! i’ll give brainliest please help
Answer:
C
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).
Hope this helps!
5-ſ
To rationalize the denominator of
9-14 · you should multiply the expression by which fraction?
5+√7
9-14
9- V14
9-√14
9+ 14
9+ V14
14
14
We should multiply the expression by (9+√14) fraction.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
To rationalize the terms, we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is; (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Learn more about multiplications;
https://brainly.com/question/14059007
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Two sides of a triangle measure 25 meters and 13 meters. Which of the following measures could represent the perimeter of the triangle?
12meters
40meters
38meters
17meters
Joe can weed the garden twice as fast as his sister Janet. Together they can weed the garden in 2 hours. How long would it take each of them working alone?
A:[tex]\frac{1}{x}[/tex]
Answer:
Joe: 3 hrs
Janet: 6hrs
Step-by-step explanation:
joe takes x hours
so in 1 hr he does 1/x of the garden
janet takes 2x hours
so in 1 hr she does 1/(2x) of the garden
In one hour together they do 1/2 of the garden
1/x + 1/(2x) = 1/2
2/(2x) + 1/(2x) = 1/2
3/(2x) = 1/2
Cross multiply
6 = 2x
x = 3
Joe: 3 hrs
Janet: 6hrs
The table below shows three special sequences (A to C) of numbers.
A 1; 4; 9; 16; 25; 36 ...
B 1:8; 27; 64; 125; 216...
C 1:3; 6; 10; 15; 21; ...
3.1 Write down the next THREE terms of the respective patterns.
3.2.
Identify the pattem (sequence of numbers) represented by each letter.
3.3
Determine the formula for the general term of each sequence.
3.4
Determine the 100 term of each respective pattern.
Answer:
3.1 A) 49; 64; and 81
B) 343; 512; and 729
C) 28; 36; and 45
3.2 A) 1²; 2²; 3²...
B) 1³; 2³; 3³...
C) 1; 1+2; 1+2+3; ...
3.3 A) aₙ = n²
B) aₙ = n³
C) aₙ = n·(n + 1)/2
3.4 A) 10,000
B) 1,000,000
C) 5,050
Step-by-step explanation:
The given sequences are;
A 1; 4; 9; 16; 25; 36...
B 1; 8; 27; 64; 125; 216...
C 1; 3; 6; 10; 15; 21;...
3.1 A) The terms, aₙ, of sequence 'A' are given as follows;
aₙ = n², where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7³ = 49, a₈ = 8² = 64, and a₉ = 9² = 81
The next three terms of sequence 'A' are ; 49; 64; and 81
B) The terms, aₙ, of sequence 'B' are given as follows;
aₙ = n³, where, n = 1, 2, 3,...
The next three terms of sequence 'B' are therefore;
a₇ = 7³ = 343, a₈ = 8³ = 512, and a₉ = 9³ = 729
The next three terms of sequence 'B' are; 343; 512; and 729
C) The terms, aₙ, of sequence 'C' are given as follows;
aₙ = n·(n + 1)/2, where, n = 1, 2, 3,...
The next three terms of sequence 'A' are therefore;
a₇ = 7×(7 + 1)/2 = 28, a₈ = 8×(8 + 1)/2 = 36, and a₉ = 36 + 9×(9 + 1)/2 = 45
The next three terms of sequence 'A' are ; 28; 36; and 45
3.2 A) The pattern of the numbers in sequence 'A', consists of squaring (raising to the power of 2) each number in the sequence of natural numbers
B) The pattern of the numbers in sequence 'B', consists of raising to the power of 3 each number in the sequence of natural numbers
C) The pattern is the triangular number sequence and consists of finding half the number dots that are present in a n by (n + 1) rectangle, which is given by finding the sum of the natural numbers up to the given term in the sequence
3.3 A) The formula for the general term of sequence, A, is aₙ = n²
B) The formula for the general term of sequence, B, is aₙ = n³
C) The formula for the general term of sequence, C, is aₙ = n·(n + 1)/2
3.4 A) The 100th term of sequence 'A', a₁₀₀ = 100² = 10,000
B) The 100th term of sequence 'B', a₁₀₀ = 100³ = 1,000,000
C) The 100th term of sequence 'C', a₁₀₀ = 100 × (100 + 1)/2 = 5,050.
Solve the inequality 2m+10 < 40
Answer:
m < 15
Step-by-step explanation:
2m+10 < 40
Subtract 10 from each side
2m+10-10 < 40-10
2m < 30
Divide by 2
2m/2 = < 30/2
m < 15
“Plot (2,4) on the coordinate plane and label it B.”
I’m not that good with fractions so I really need help with this.
Answer:
how do you plot?
Step-by-step explanation:
To the top right quadrant, the second bottom square, moving 4 units up.
Question 38
Two cuboids are congruent. Which statement about their properties
a.Each face has the same area
b.One is larger than the other
c.They have the same volume
d.The sum of the angles is 360°