Answer:
98°
Step-by-step explanation:
The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°
Find the sum (8x + 2) + (–9x + 7).
Answer:
-x+9
Step-by-step explanation:
remove the parenthesis
combine like like terms
8x-9x=-x
2+7=9
Answer:
-x+9
Step-by-step explanation:
remove the parenthesis and combine the alike terms
Oliver read for 450450450 minutes this month. His goal is to read for 10 percent more minutes next month.
If Oliver meets his goal, how many minutes will he read in all during the two months?
Answer:
94594945
Step-by-step explanation:
First we need 1105 of 450450450 we get this by multiply it by 1.10 we'll get 495495495 then we add that to his score of the first month to get 94594945
Answer: 945
Step-by-step explanation: since he is reading 10% MORE you would find the percentage of 450 PLUS 10%
110/100= 1.1
1.1 * 450= 495
495 + 450= 945
Hopefully this makes sense
Here is a circle, centre O, and the tangent to the circle at the point (8,15)
Answer:
y = -8/15x + 289/15
Explanation:
Given a circle with a radius of 17, and a centre at the origin (0,0), to find a line tangent to the point (8,15), there are a list of methods we could use to solve this problem. Instead of using derivatives (used to find the slope or gradient of a function at a given point), we can use the inverse tangent (goes from output to input, instead of input to output, but the inputs will still act as a function, which means you can only get one input for each output, this will get you from the side proportion to the angle, instead of angle to side proportion) as we know that a line connecting the origin to the point is always perpendicular to that line which is tangent to it. We can just take the opposite reciprocal (because when two lines are perpendicular, they always have opposite reciprocal slopes) of that, and then trace that slope back to the y-axis to find the it's y-intercept.
An opposite reciprocal just means to take that number, flip it's numerator, and denominator, and then make it negative.
So let's just use basic algebra to find the line going through points (0,0), and (8,15).
Because the line goes through the origin, we already know the y intercept is 0, so all we need to do is find the slope.
So slope [m] = (y2-y1)/(x2-x1).
Where (x1,y1) is the first point, and (x2, y2) is the second point. so m = 15-0/8-0 = 15/8.
Know that we have the slope of the first line, the perpendicular line will go through the same point, and have an opposite reciprocal -n^-1.
So 15/8 → 8/15 → -8/15 [this is the slope of the tangent].
Now since we know a point, and a slope, we can backtrack to find its y-intercept.
We can use point slope form:
y – y1 = m(x – x1)
(x1,y1) is the point we know [(8,15)], m is the slope we know [-8/15], and (x,y) is the point we are looking for. Also don't forget, since we are looking for a y-intercept, set x to zero because a y-intercept of anything is when x = 0.
Since we are only looking for y
y – y1 = m(x – x1) will become y = m(-x1) + y1.
This is because -y1 will cancel out when you add both sides by y1, and when x is 0, x1 will remain by itself in the form -x1.
So y = m(-x1) + y1 → y = (-8/15)(-8) + (15) →
64/15 + 15 = 64/15 + 15×15/15 = (64 + 225) / 15 = 289/15 [this is the y-intercept of the tangent line]
Now that we know the slope, and y- intercept of the tangent line, we can write the following equation in slope intercept:
m = -8/15, b = 289/15 → y = mx + b →
y = -8/15x + 289/15.
Answer:
y = -8/15x + 289/15
6. Solve 2.6x + 2 > -12.5 and graph the solution on a number line.
Answer:
x>−5.576923
Step-by-step explanation:
2.6x+2>−12.5
Step 1: Subtract 2 from both sides.
2.6x+2−2>−12.5−2
2.6x>−14.5
Step 2: Divide both sides by 2.6.
2.6x
2.6
>
−14.5
2.6
x>−5.576923
Jenna gets an iTunes gift card for her birthday and decides to buy some games and some music the music she likes costs $1.99 per song and the games costs $0.99 each if she buys a total of 12 items and spends $18.88 how many of each item did she buy
Answer: 4 songs and 11 games
Step-by-step explanation:
Sorry if I’m wrong!
A wire is in the shape of square of side 12cm. if the wire is rebent into a
rectangle of length 14cm, find its breadth. Which figure encloses more area
and by how much?
Answer:
Breadth = 10 cm.
Difference in area = 4 cm^2 ( the square encloses more area).
Step-by-step explanation:
The perimeter of the square = 4*12 = 48 cm.
If the length of the rectangle is 14 then
2*14 + 2b = 48 where b is the breadth.
28 + 2b = 48
2b = 20
b = 10 cm.
A square encloses more area than a rectangle for a given length of wire.
Area of the square = 12^2 = 144cm^2 and
area of the rectangle = 14*10 = 140 cm^2.
a function of the form
Answer:
In The Function of Form, internationally acclaimed architect, Farshid Moussavi, provides a provocative critique of the historically opposing relationship between function and form to reveal the contradiction at the heart of modernism.
Step-by-step explanation:
Answer: A function of the form is a special relationship where each input has a single output like f(x)=x/2 its a function because of the input value
Step-by-step explanation:
a function can be solve this way
f(2)=1
f(16)=8
ect
hope this helps
How are 0.02 and 20 related
Answer:
No (unless you count them both being numbers then no!)
Step-by-step explanation:
Hope this helps! :)
What is the interest on a loan of $2,500 that is borrowed at 9% for 7 months.
Answer:
$1575
Explanation:
Answer:
$131.25
Step-by-step explanation:
We'll need to review the simple interest formula for this:
I = P(1rt)
This is where P is the principal amount of money to be invested at an interest rate R% (put this in a decimal while calculating). The variable t is the amount of time in years.
Try to plug in these numbers and use my explanation as a checking tool. If you're having trouble, then no worries. Feel free to follow along :D
I = 2,500*(0.09)(7/12)
= 2,500 * 0.525
I = 131.25
So, the interest of a loan of $2,500 underneath those conditions is $131.25
Please let me know in the comments if anything is wrong. I'll be happy to update this answer!
Good luck and keep studying. I believe in you :D
So I know someone just yelled at me after I tried to help them but I need help too
The family size bottle of sunscreen holds
12
1212 fluid ounces
(
fl oz
)
(fl oz)left parenthesis, start text, f, l, space, o, z, end text, right parenthesis of sunscreen. The regular bottle holds
75
%
75%75, percent less.
How many fewer fluid ounces does the regular bottle of sunscreen hold?
9514 1404 393
Answer:
9 oz less
Step-by-step explanation:
The difference is 75% of 12 oz, so is ...
0.75 · 12 oz = 9 oz
The regular bottle holds 9 ounces less.
Name the triangle congruent to ΔABC
ΔABC≅Δ
Answer:
QPR
Step-by-step explanation:
angle A=Q side AB=QP
B=P BC=PR
C=R CA=RQ
For the function f(x)= 3x2 + 6x find f (2)
Answer:
48
Step-by-step explanation:
Answer:
f(2) = 3 * 2^2 + 6 * 2 = 3 * 4 + 12 = 24
Step-by-step explanation:
What expressions are equivalent to 4^-2 times 7^-2.
choose two answers
a. (4 times 7)^-4
b. 1/28^2
c. 7^-2/4^2
d. (4 times 7)^4
for the first time in a few days and
How do I rewrite this?
Answer: how would i rephrase this sentence
Step-by-step explanation:
Someone plzz help it’s urgent!!
Answer:
hope it helps..
Step-by-step explanation:
If this helped please comment..
How do you write an equation in standard form given the slope and one point in the graph? For example, slope = 9 and (-5, 2).
Answer:
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
hope this helps
Can someone please help me?
Answer:
3.33×10^5 timesStep-by-step explanation:
Given
Mass of the Sun = 1.99×10^30Mass of the Earth = 5.97×10^24The mass of the Sun is greater than the mass of the Earth times:
1.99×10^30 / 5.97×10^24 =19.9×10^29 / 5.97×10^24 =19.9/5.97×10^(29 - 24) = 3.33×10^5Need Help I'm A Good Person
Answer:
C
Step-by-step explanation:
I think thats what they are saying anyway
i need some help.. fraction: {5⁷}{5²}
Step-by-step explanation:
[tex]\dfrac{5^7}{5^2}\qquad|\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=5^{7-2}=5^5[/tex]
What is the area of this rectangle? (area=length*width)
Step-by-step explanation:
we know that,
area of rectangle = length × breadthNow,
rectangle PQRS has it's
breadth = 3
length = 4+b
Then,
area of rectangle PQRS = (4+b) × 3
= 12 + 3b
Hence,
The area of rectangle is 12+3b.
In triangle ABC, ∠A = 55°, ∠B = 75°. Which statements are correct? You must select all correct answers.
Side BC is the longest side
Side AB is the shortest side
Side AC is the longest side
Side BC is the shortest side
Answer:
AC is the longest side
AB is the shortest
Step-by-step explanation:
Generally, the side that faces the smallest angle has the smallest side while the side that faces the largest angle has the largest side
The measure of the third angle C is 180 - 55 -75 = 50
Kindly note that A faces BC
B faces AC
C faces AB
So while AC is the longest side, AB is the shortest
So the correct answers are;
AC is the longest side
AB is the shortest side
Given f(x) = x2 + 5x + k, and the remainder when f () is divided by x – 8 is
93, then what is the value of k?
By the remainder theorem, the remainder upon dividing a polynomial p(x) by x - c is equal to p(c).
Here, p(x) = x² + 5x + k and c = 8, which gives
p (8) = 8² + 5•8 + k
93 = 64 + 40 + k
k = -11
PLEASEEE HELPPPPP!!!! у
Test Scores in Relation to Homework
2.
100
How would you characterize the relationship
between the hours spent on homework and
the test scores? Explain.
90
80
70
60
Test Scores
50
3. Draw a line of best fit on the graph.
40
4.
30
Based on your line, what is the likely test
score of a student who does not study for
the test?
20
10
0
1
2
3
8
9
4 5 6 7
Hours of Homework
Answer:
2. The more hours spent doing homework the better the test scores.
3. Just draw a line that runs through (1,50) (2,55) (3,60) (4,65)
4. Dunno
Step-by-step explanation:
Answer:
Number 4 would be 45%
Step-by-step explanation:
I needddd helppppp pleaseee
Answer:
51°
Step-by-step explanation:
43.9
44.3
45.7
46.2
Are possible answers.
Answer:
44.3 would be the correct answer if I looked at it correctly
Describe the process for
graphing the equation
y – 4 = 2(x + 1)
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: 2
y-intercept: (0,6)
Step-by-step explanation:
X y
−3 0
0 6
Add another ordered pair to this relation that would make it not a function anymore.(-3, -6), (-2, -1), (-1, 0), (0, 3), (1, 15) and _______
Answer:
( 2,30 )
Step-by-step explanation:
Fill in the blank. If 9/24 =3/x , then x is .
Answer:
X=8
Hope I helped
Answer:
8
Step-by-step explanation:
Write it out: [tex]\frac{9}{24} = \frac{3}{x}[/tex] Cross multiply, then divide: 3 × 24 = 72, 72 ÷ 9 = 8So, the blank is 8I hope this helps!
Customers at an ice-cream shop took a survey. The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey ? Explanation plz
Answer:
620 customers
Step-by-step explanation:
Customers at an ice-cream shop took a survey.
Let the total number of customers who took the survey be represented by x
We are told in the question that:
The results showed that 279 customers rates the shop as being "very satisfactory." This number represented 45% of the total number of customers who took the survey.
Hence:
45% of x = 279 customers
= 45/100 × x = 279 customers
45x /100 = 279
Cross Multiply
45x = 100 × 279
x = 27900/45
x = 620 customers
The total number of customers who took the survey is 620 customers
what's 20×14 ?
[tex]20times 14[/tex]
what is it?
Answer:
280.
Step-by-step explanation:
You can just do basic math. 20, times 14. You can also use a multiplication table, look for 20, and count 14 times. (If the table goes up to 20.)