Answer:
Option C.
Step-by-step explanation:
Given: In [tex]\Delta OPQ,m\angle O=107^{\circ},m\angle P=28^{\circ} [/tex].
In [tex]\Delta OPQ[/tex],
[tex]m\angle O+m\angle P+m\angle Q=180^{\circ}[/tex] (Angle sum property)
[tex]107^{\circ}+28^{\circ}+m\angle Q=180^{\circ}[/tex]
[tex]135^{\circ}+m\angle Q=180^{\circ}[/tex]
[tex]m\angle Q=180^{\circ}-135^{\circ}[/tex]
[tex]m\angle Q=45^{\circ}[/tex]
Now,
[tex]m\angle O>m\angle Q>m\angle P[/tex]
In a triangle, the greatest angle has largest opposite side and smallest angle has smallest opposite side. So, we conclude that
[tex]PQ>OP>QO[/tex]
Therefore, the correct option is C.
Evaluate: g(4):g(x) = 8x2 + 9x - 7
Answer:
g(4) = 157
Step-by-step explanation:
g(x) = 8x^2 + 9x - 7
Let x =4
g(4) = 8 * 4^2 +9*4 -7
=8*16 +36 - 7
=128+36-7
=157
Answer:
157
Step-by-step explanation:
g(x)=
[tex]{8x}^{2} + 9x - 7[/tex]
g(4) =
[tex]8( {4})^{2} + 9(4) - 7 \\g(4) = 8 \times 16 + 36 - 7 \\ g(4) = 128 + 29 \\ g(4) = 157[/tex]
Graph y=3/4 x + 2. What is the slope?
Answer:
3/4
Step-by-step explanation:
The given equation is in the form of y=mx+b
This is where m is the slope, and b is the y intercept.
This said, the slope of the equation is 3/4.
I will attach an image of the graph. I put the equation in a graphing calculator.
If you need to graph by hand, first plot the y intercept, (0,2) and then use the slope to find more points. Then, connenct the points with a ruler.
The image you attached is not the graph of y=3/4x+2, it is the graph of y=5.
It's slope is equal to 0.
Identify an angle that's congruent to ∠PQR in the given figure. answers : A) ∠3 B) ∠1 C) ∠4 D) ∠2
Answer:
The answer should be A)3
why:because angles 1 and 4 are much smaller and angle 2 is a 90 degree angle
If f(x) = [xl-5, what is f(8.6)?
Answer:
3 or 4, depending on the intended meaning of [x]
Step-by-step explanation:
Perhaps you mean ...
[tex]\displaystyle f(x)= \lfloor x\rfloor -5\\\\f(8.6)=\lfloor 8.6\rfloor-5=8-5=3[/tex]
__
On the other hand, perhaps you mean ...
[tex]\displaystyle f(x)=\lceil x\rceil -5\\\\f(8.6)=\lceil 8.6\rceil-5=9-5=4[/tex]
I need help please. I am very confused
Answer:
F(y^2) = 1/ (y^2-3)
Step-by-step explanation:
F(x) = 1/ (x-3)
Replace x with y^2
F(y^2) = 1/ (y^2-3)
Answer: f(y^2) = 1/((1/(x-3))^2-3)
Step-by-step explanation:
To start to understand this equation realize y = f(x) but f(x) gives a little bit more information specifically to define x as whatever is in the parenthesis of f(_).
For example f(x) = x/2
so lets say x = 2
so "f(2) = 2/2" or "y = 1 when x = 2"
In this equation y or f(x) = 1/(x-3)
so to get f(y^2) = 1/(x-3)
square the value of y and plug it into 1/(x-3) as the value of x
f(y^2) = 1/(y^2-3)
What is the name of a savings account that offers higher interest rates, but in which a person's money must stay deposited for a specific amount of time? A. Money market account B. CD C. Savings account
Answer:
CD
Step-by-step explanation:
Apex
The name of the savings account that offers higher interest rates, but in which a person's money must stay deposited for a specific amount of time is B. CD.
Money market account, Certificates of deposits (CD) and the regular savings account are all different types of savings account.
Regular savings account has only lower interest rate while both CD and Money market account have higher interest rates.
And the money must be stayed in the account for a fixed period of time in CD accounts. This is not required in the money market accounts.
Thus, CD is the correct answer.
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Convert the decimal to a percent 0.625
Answer:
6 25/100
reduces is 6 1/4
Step-by-step explanation:
Someone help me with this plz! 20 POINTS
Answer:
50
Step-by-step explanation:
it is the smallest side
PLEASE HELPPPPPP MEEEEE
Answer:
Interest earned is $8.75
Total amount of money earned = 708.75
Step-by-step explanation:
Principal = 700
Rate = 2.5%
Time = 6 months = 6/12 years = 0.5 years
Interest = PTR/100
= 700x0.5x2.5/100
= 8.75
Total amount = P + I
= 700 + 8.75
= 708.75
Help ASAP. I don’t remember any of this when I was in school
Answer: 460 Workers
Step-by-step explanation: This is pretty simple, we know there's 198 men...and the ratio is 3:4.
198 ÷ 3 = 66
66 * 4 = 264
There are 264 female workers, and 196 male workers...
264 + 198 = 460
In total, there are 460 workers.
I hope this helps!
I need help on this.
Answer:
On the second step there is a mistake. You have to multiply 2 times 2 before you add the five
Answer:
See below;
Step-by-step explanation:
We are given the following;
5 + [ 2 * 2 + 5 ], ⇒ add 2 and 5
5 + [ 2 * 7 ], ⇒ multiply 2 by 7
5 + 14, ⇒ combine like terms
Solution; 19
Now as we can see from the first ⇒ second step the process as to simplify the expression 5 + [ 2 * 2 + 5 ] further, was by adding 2 and 5. Of course by PEDMAS, it would be that multiplication takes place before that of addition, so that it should have been that 2 was multiplied by 2 first!
Solution below;
Steps | |
| 5 + [ 2 * 2 + 5 ] |
X | 5 + [ 2 * 7 ] |
| 5 + 14 |
| 19 |
All of the following equations have the same solution except ___. 3m+2=-10 2-3m=-10. -10=-3m+2. -3m+2=-10
Answer: 3m+2=-10 does not have the same solution as the rest of the equations
Step-by-step explanation:
3m+2=-10 (m= -4)
2-3m=-10 (m=4)
-10=-3m+2 (m=4)
-3m+2=-10 (m=4)
-3m+2=-10 (m=4)
Help idk how to do it
Answer:
140
Step-by-step explanation:
Angle 4 is congruent to angle 2 by corresponding angles postulate. Therefore, angle 2 is also 40. Angle 2 and angle 3 are supplementary, or add up to 180 because they are on a straight line. 140 and 40 add up to 180 so angle 3=140 degrees
wiil makr bianleast
Which is point (4, –5) on the graph?
C
A
D
B
Answer: The answer is "B"
Step-by-step explanation: You go along the x-axis first and then you look for the y-axis
Answer:
The correct answer is B
Step-by-step explanation:
Hope this helps!
Which figure shows a line of reflectional symmetry for the letter T
Answer:
Image linked*
Step-by-step explanation:
Reflectional symmetry states basically that if an object is bisected or cut in half into two equal part the sides will be proportional In This case T will be cut vertically down the center as shown with the blue arrow
Answer:
c
Step-by-step explanation:
Plz I need URGENT help!
What did you find as the mean average temperature in New York City and San Francisco?
Answer:
The average temperatures were:
New York City: 63San Francisco: 64Step-by-step explanation:
Remember that, the average is obtained in the form below:
Average = The sum of all the values / the number of values.In this case, the number of values is 12 because are the number of months in the year. The sum of values is shown below for each case:
Average temperature in New York City = (39 + 42 + 50 + 61 + 71 + 81 + 85 + 84 + 76 + 65 + 55 + 47) / 12 = 63. Average temperature in San Francisco = (57 + 60 + 62 + 63 + 64 + 67 + 67 + 68 + 70 + 69 + 63 + 58) / 12 = 64.I don't add units because the table doesn't specify if they are Celsius, Fahrenheit, or others.
I need help finding out what properties were used in this equation, 4(x+5)=9x+4x-34
Answer:
Step-by-step explanation:
4(x+5)=9x+4x-34
4x + 4*5 = 9x + 4x - 34 {distributive property}
4x + 20 - 4x = 9x + 4x - 34 - 4x {subtraction property of equality}
20 = 9x - 34
20 + 34 = 9x - 34 + 34 {Addition property of equality}
54 = 9x
54/9 = 9x/9 {division property of equality}
6 = x
x = 6
Point-Slope form of the line that goes through (2, 7) with a slope of -4, please!
Answer:
y-7= -4(x-2)
Step-by-step explanation:
Y-Y1=M(X-X1) - point slope form equation.
Plug in each coordinate into their coresponding places, X1, Y1 and M (the slope).
1:01+0.25.4+32=
help 10 points
Answer:
55 39
Step-by-step explanation:
3. Greg is in a car at the top of a roller-coaster ride. The distance, d(t), of the car
from the ground as the car descends is determined by the equation d(t) = 144 - 167,
where t is the number of seconds it takes the car to travel down to each point on theride. How many seconds will it take Greg to reach the ground?
Answer: 3 seconds
Step-by-step explanation:
Hi, the correct equation is d (t) = 144- 16 t²
So, to answer this question we have to analyze the information given:
When the car reaches the ground the distance, d (t) of the car from the ground is 0.
0 = 144- 16 t²
Solving for t:
16 t² =144
t²=144/16
t²= 9
t = √9
t = 3 seconds
Feel free to ask for more if needed or if you did not understand something.
Answer:
C
Step-by-step explanation:
t>3
Dora is purchasing a $162,000 home with a 30-year mortgage at 5.15%. If she
wished to make one additional monthly payment each year, how much should
she add to her current mortgage payment?
O A. $79.23
O B. $77.81
O c. $73.71
O D. $84.56
Answer: 73.71
Step-by-step explanation:
Answer: $73.71
Step-by-step explanation:
Helen needs to buy 6 packs of tea.
Each tea pack costs $8.
This table shows the offers available in two shops
Offer
Shop
А
3 for the price of 2
Buy one, get one half price
B
Which shop is cheaper for Helen?
⇒⇒⇒⇒⇒Sid was given the following enlargement of a rectangle. A smaller rectangle with length of 8 feet and width of 4 feet. A larger rectangle with length of blank and width of 20 feet. Sid calculated the scale factor to be One-fifth. What error, if any, did Sid make when he calculated the scale factor? Sid found the reciprocal of the scale factor. Sid used the wrong dimensions to calculate the scale factor. He should have gotten Five-halves as the scale factor. Sid used the wrong dimensions to calculate the scale factor. He should have gotten Two-fifths as the scale factor. Sid did not make an error calculating the scale factor. The correct scale factor is One-fifth. WILL MARK BRAINLIEST
Answer:
Sid found the reciprocal of the scale factor.
Step-by-step explanation:
I know this because when finding scale factor the formula is the image/ pre-image so this means that if you substitude the known value you would get 20/4 which is equal to 5 and sid said the answer was 1/5 and the recipcal of that is 5.
Answer:
Sid calculated the scale factor to be One-fifth. What error, if any, did Sid make when he calculated the scale factor? Option A
(A) Sid found the reciprocal of the scale factor. 100% Answer
Step-by-step explanation:
. What is the probability of choosing an ice cream cone?
A) 5/14
B) 2/7
C) 3/14
D) 1/7
Answer:
2/7
Step-by-step explanation:
There are 14 things to choose from
4 of them are ice cream cone
P ( ice cream) = number of ice cream/ total
=4/14
=2/7
Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 15 cm, what is the height of the model on the right?
Answer: The height of the model on the right is 22.5 cm .
Step-by-step explanation:
We can see that , the given different models of the same triangular-shaped garden are similar.
For the first model 1 cm = 3.75 m
whereas for the second model 1 cm = 2.5 m
Now , the constant rate of proportion for this (k) = [tex]\dfrac{3.75}{2.5}=\dfrac{375}{250}=1.5[/tex]
Now , if height of the model on the left is 15 cm , then the height of the model on right = 15 x k
= 15 x 1.5
= 22.5 cm
Hence, the height of the model on the right is 22.5 cm .
Answer:
30 cm
Step-by-step explanation:
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!!!
Find the approximate area and circumference of a circle that has a radius of three feet. Write the area first, then the circumference. Separate your answer with a comma and a space.
Example: 1 ft^2, 1 ft
Answer:
28.26 ft^2, 18.84 ft
Step-by-step explanation:
We are given a circle with a radius of 3 feet;
[tex]Area of Circle = \pi * ( r^2 ) = \pi * ( 3^2 ) = 9\pi \\[/tex]
[tex]Circumference = 2 * \pi * r = 2 * \pi * ( 3 ) = d * \pi, d - diameter,\\Circumference = d * \pi = 6\pi[/tex]
[tex]If \pi = ( About ) 3.14 -\\ Solution ; Area = ( About ) 28.26 , & Circumference = ( About ) 18.84[/tex]
Area= 28.27ft2
Circumference= 18.85ft
Sorry I couldn't write it how your teacher wanted it but that part didn't make sense to me. Here are the answers anyway. Hope it helped!
Simplify the expression. sin2x + sinx + cos2x - 1 sinx sinx - 1 sinx - 2
Answer:
-1
Step-by-step explanation:
Evaluate for x=0
sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2
sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2
= −1
Answer:
sinx
Step-by-step explanation:
sin^2 + cos^2 = 1 (pythagorean identity)
therefore we take the square sin and cos out to make a 1
sin2x + sinx + cos2x - 1 sinx sinx - 1 sinx - 2
left with sinx -1 +1 =
sinx because the 1s cancel out
if tan theta=3/4, find sin theta
Answer:
sin(theta)=3/5
Step-by-step explanation:
tan(theta)=3/4
sec^2(theta)=1+tan^2(theta)=1+(3/4)^2=1+9/16=(16+9)/16=25/16
sec(theta)=square root of(25/16)=5/4
sec(theta)=1/cos(theta)=5/4
cos(theta)=4/5
sin^2(theta)=1-cos^2(theta)=1–16/25=(25–16)/25=9/25
sin(theta)=3/5
So
sec(theta)=5/4
sin(theta)=3/5
Patrick has a gas-powered boat that averages 5 miles per gallon of gasoline, and the tank holds 4 gallons. At 2 p.m., he left the dock. At 3 p.m., he was 6 miles west and 8 miles south of the dock. If he continues at this rate, in how many more hours will the tank be out of gasoline? Round to the nearest tenth if necessary.
Answer:
1 hour
Step-by-step explanation:
Let's assume that Patrick is travelling on a straight line throughout the whole path in order to minimize the distance.
The number of miles that he can travel on a full tank is:
[tex]m = 5\ mpg*4\ gallons\\m=20\ miles[/tex]
The distance travelled by Patrick in one hour (from 2p.m. to 3p.m.) is:
[tex]d^2=6^2+8^2\\d=\sqrt{100}\\ d=10\ miles[/tex]
If he is travelling at 10 miles per hour, and he could travel for a total of 20 miles, then the time remaining before the tank runs out of gasoline is:
[tex]t=\frac{20-10}{10}\\ t=1\ h[/tex]
If he continues at this rate, the gas will last for 1 more hour.
Beth participated in a free throw contest. she took 10 shots and missed 6 of them. Beth wants to know how to describe the number of baskets she made.what percent of her shots did Beth make?
Answer:
She made 40% of her shots.
Step-by-step explanation:
First, you would subtract 10 - 6 = 4.
Second, you would make 4/10 a decimal to convert it to a percent by moving the decimal point to places to the right = .40 = 40%.
Your answer is 40% of her shots were made.
Beth made 40 percentage of shots.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
The total number of shots taken by Beth = 10
The missed shots by Beth= 6
The Shots which are made by Beth = 10-6 =4
The percentage of shots that Beth make,
= 4/10×100
=40%
40% shots Beth made during contest.
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