If /\PQR~/\SQT, find the value of x.
Answer:
[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]
what is the value of x?
Which expression shows the result of applying the distributive property to 9(2 + 5m)?
• 2 + 45m
O 18 + 45m
O 11 + 14m
18 + 5m
Answer:
18+45m
Step-by-step explanation:
You multiply when applying the distributative property:
9(2+5m)
18+45m multiply 9 by each value in parentheses
Mrs. McClure's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?
Answer:
Amount of butter need for 1 cup of oil = 2 cup of butter
Step-by-step explanation:
Given:
Amount of butter need for 1/2 cup of oil = 1 cup
Find:
Amount of butter need for 1 cup of oil
Computation:
Amount of butter need for 1/2 cup of oil = 1 cup
1 cup butter = 1/2 cup oil
So,
Amount of butter need for 1 cup of oil = 1 / [1/2]
Amount of butter need for 1 cup of oil = 1 / [0.5]
Amount of butter need for 1 cup of oil = 2 cup of butter
What percent of the data is between 30 and 50 on the number line?
Answer:
20 percent
Step-by-step explanation:
50 - 30 = 20 percent
Find the area of the figure.
Answer:
132
Explanation:
All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.
1.(7x4) + (1/2x8[7+19])
2. 28 + 104
3. 132
~Hope this helps you~
Convert 100° to radians. Will mark brainlist if correct
a centre seat costs 25£ less than an aisle or window seat. A window or aisle seat costs a and a centre seat costs £271.complete the equation that describes this. how much does an aisle or window costs?
Answer:
246
Step-by-step explanation:
271-25=246
A small toy car costs $3. A large toy car costs 5 times as much as the small one.
Aaron wants to buy one of each. Which equation can he use to find the cost (a)
of the two cars?
Answer:
(3 x 1) + (3(5) x 1) = a
Step-by-step explanation:
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
What is the answer to this?-
Answer:
Yes it is congruent by HL
What is the length of leg s of the triangle below?
Answer:
E. 8
Step-by-step explanation:
It's a special right angle triangle. Hypotenuse is
[tex] \sqrt{2} x[/tex]
where x is the length of other legs. Also other two sides of triangle are always equal.
So to find the other leg divide by .
[tex] \sqrt{2} [/tex]
The length will be 8.
Hi how’s your day ? Would you like to help me ?
Answer:
Hi
Good
I think its the second but i'm not sure because there are no measurements
Good luck
Water is coming out of a fountain is modeled by the function f(x)=-x^2+8x+2 where f(x) represents the height, in feet, if the water from the fountain at different times x, in seconds
help asap pleaseeee !!!!!!
Answer:
C. ⅓ × (8 + 7) + 12
Step-by-step explanation:
Let's translate each statement given to numerals and symbols first:
Twelve => 12
One-third => ⅓
Sum of 8 and 7 => (8 + 7)
Representing this statement altogether will be:
⅓ of (8 + 7) = ⅓ × (8 + 7)
If 13 is added, we would get:
⅓ × (8 + 7) + 12
= 1 cubic ft
What is the volume of the solid figure? Enter the answer in the box.
Answer:
800
hope this helps
the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?
Answer:
Option 3
Step-by-step explanation:
Given inequality is,
[tex]3m\geq 21[/tex]
To find the solutions of the given inequality solve this inequality first.
[tex]\frac{3m}{3}\geq \frac{21}{3}[/tex]
[tex]m\geq 7[/tex]
This inequality will be represented by an arrow starting from 7 and directing towards infinity.
Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.
Therefore, Option 3 (from the top) will be the answer.
h(x) = 18.75 - 4.53x What is the value of h(−11)?
Answer:
h(-11) = 68.57
Step-by-step explanation:
h(x) = 18.75 - 4.53x
h(-11) = 18.75 - 4.53(-11)
h(-11) = 18.74 + 49.83
h(-11) =:68.57
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 712 7 7 7 1 2 712 6 3 4 634 7 1 4 714 7 1 4 714 7 1 4 714 7 7 6 1 2 612 7 3 4 734 7 3 4 734 6 3 4 634 8 1 4 814 7 7 7 1 2 712 7 7 7 1 4 714 7 7 7 1 2 712 7 1 2 712
Answer:
Dot plot A
Step-by-step explanation:
In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.
___ Frequency
6 1/2 - 1
6 3/4 - 2
7 = 5
7 1/4 = 4
7 1/2 = 5
7 3/4 = 2
8 1/4 = 1
Choose a number sentence is that illustrates distribute property of multiplication over addition 2×7+8 = 2+7×2+8
Answer:
[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]
Step-by-step explanation:
Given
[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]
[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]
[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]
Required
Which illustrates distributive property of multiplication over addition
The property states that:
[tex]a(b + c) = a * b + a * c[/tex]
By comparison
[tex]a = 2\ b = 7\ c = 8[/tex]
So, we have"
[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]
[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]
its math algebra 1 i need help
Answer:
The 3rd one which is C
Step-by-step explanation:
It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!
I need help!!!!!!!!!?
anyone knowww thiusss ?
no scammers pleaseeee
Answer:
about 9cm
Step-by-step explanation:
Muliply the radius by itself: 16x16
Mulitply the answer by 3.14.
Divide 7252 by the answer to get 9
The diameter of a circle measures 20 yd. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
20 yd
yd
Answer: 62.8 yd
Step-by-step explanation:
Circumference= diameter*pi
20*3.14= 62.8
What is the volume of hemisphere with a radius of 8 ft rounded to the nearest tenth of cubic foot
Answer:
1072.3[tex]ft^{3}[/tex]
Step-by-step explanation:
A hemisphere is half of a sphere, so the volume V of the hemisphere is the volume of the sphere divided by 2.
V = (2/3)*[tex]\pi[/tex][tex]r^{3}[/tex]
= (2/3)*[tex]\pi[/tex][tex](8ft)^{3}[/tex]
= (2/3)*[tex]\pi[/tex]*512[tex]ft^{3}[/tex]
= 1072.3[tex]ft^{3}[/tex]
What are the measures of ∠1 and ∠2?
Answer:
Angle 1 = 102
Angle 2 = 40.9
Step-by-step explanation:
[tex]1)\ 180 - 121.8 = 58.2[/tex]
[tex]2)\ angle\ 2 = 58.2 - 17.3 = 40.9[/tex]
[tex]3)\ angle\ 1 = 180 - 40.9 - 37.1 = 102[/tex]
Answer:
m∠1 = 67.4° m∠2 = 104.5°
Step-by-step explanation:
17.3 + m∠2 = 121.8
m∠2 = 104.5°
m∠1 + 37.1 = m∠2 = 104.5
m∠1 = 67.4°
Help plzzzz I need the correct answers ASAP and that's my last marking period 4 and I'm in grade 12th
It's homework: Comprehension Questions - 3.1 Credit Basics:
Question 10: it's part 1 multiple choice questions and Part II: Analyze: Understanding Amortization
Janet just graduated from college, has a job she’s scheduled to begin in 3 months, and has decided to treat herself to 6 weeks of travel across South America before she buckles down and starts working full-time. To do the trip, she’s thinking of applying for a personal loan of $3500, and the bank she uses for her checking and savings account has offered her an interest rate of 24%. She has a goal of paying off the trip within two years, so she uses a Bankrate.com loan calculator and gets the following amortization schedule:
4) How many months does it take Janet to pay off her loan?
5) What is the total amount of interest Janet will pay at the end of the loan?
Answer:
try c
Step-by-step explanation:
If Joe earns $38,000 a year:
1. How much does he make a month?
2. If his budget per month is $3,200, can he afford that on his salary?
Hello! Would appreciate help!!
Find the value of x. Round to the
nearest tenth.
Answer:
17.14
Step-by-step explanation:
tan 35 = 12/x
x = 12/ tan 35
= 17.14
What is the average rate of change of f(x)=x2+x−6 between x=1 and x=3 ?
A
5
B
–5
C
15
D
10
Answer:
10
Step-by-step explanation:
Substitute 1 in place of x and the result is -4.
Again substitute 3 in place of x and the result is 6.
Change=6-(-4)=10