9514 1404 393
Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
__
3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
__
4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
13. The product of 0.21 and 1.8 is 0.378
A) True
B) False
Answer:
true
Step-by-step explanation:
because 0.21 ×1.8 is 0.378
Find the value of x pls help with this
To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answer:
hii
have a good day for you!
A number squared, then increased by 4, I need the equation.
[tex]-5(3.15-\frac{21}{20} )+7[/tex]
help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
X+1/2=x-1/2 true or false?
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
HELP I NEED ANSWERS NOW
Answer:
I am not sure but I think it is c
Step-by-step explanation:
Select the correct graph.
Which graph represents function f?
Answer: top right graph
Step-by-step explanation: Put in calculator and you will find the answer
Graph the line with slope -1/2 passing through the point (-1,-2)
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
Part A: Write an algebraic expression for 8 more than 5 times a number. (5 points)
Part B: Write a verbal expression for 4(n + 6). (5 points)
The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
Part A ;We have,
[tex]8[/tex] more than [tex]5[/tex] times a number
Now,
Let a number [tex]=x[/tex]
So,
According to the question,
We get, [tex](8+5x)[/tex]
So, this is the algebraic expression .
Part B ;We have,
[tex]4(n + 6)[/tex]
So,
According to the question,
[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.
So, this is the verbal expression .
Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
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Evaluate the expression: -4a2 + 3ab - (2a + 3b) if a = 1/4 and b = -12
Enter answer as a decimal.
Answer:
Value of equation = 26.25
Step-by-step explanation:
Given:
Equation given
-4a² + 3ab - (2a + 3b)
Given value of a = 1/4
Given value of b = -12
Find:
Value of equation
Computation:
-4a² + 3ab - (2a + 3b)
By putting value of a and b
-4(1/4)² + 3(1/4)(-12) - [2(1/4) + 3(-12)]
-4(1/16) - (36/4) - [2/4 - 36]
-4/16 - 36/4 - [-142/4]
- 0.25 - 9 + 142/4
-0.25 - 9 + 35.5
Value of equation = 26.25
What decimal is equal to 3/4???? ANSWER FAST!!!!!!!!!!!1
Answer:
0.75
Step-by-step explanation:
marcus and anthony are selling camping equipment to try to earn money to buy three new gaming systems. Last month they sold backspacks for $25 a piece and surviaval kits for $29.50 a piece and made $749.50 they sold a total of 28 backpacks and survival kits. How many backpacks did they sell? How many survival kits did they sell?
Answer:
28 each
Step-by-step explanation:
+25 for backpacks
+749.50
Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?
The value of h -j is -5.
We have the function, f(x) = x² -4x + 8
Now, vertex
h = x = -b/2a
h = x = -(-4) / (-2)
h = x = -4/2
h= x = -2
Now, according to the graph
j = x= 3
So, h - j
= -2 - 3
= -5
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You decide to study the effects of smoking, drinking and partying on life satisfaction. To do so, you assign people randomly to one of two smoking conditions (smoking or not), one of three drinking conditions (no alcohol, 1 drink per day, several drinks per day) and partying conditions (no partying, 1 hour of partying per day, 2 hours of partying per day). This design has
Answer:
3 factors ; 18 total conditions
Step-by-step explanation:
The study focuses on the 3 factirs which impacts life satisfaction. Thses factors are : Smoking ; Drinking and Partying and they constitute the 3 different factor variables in the study.
For each factor variable, each has a number of different conditions ;
For smoking : 2 conditions (smoking and not smoking)
Drinking : 3 conditions (no alcohol, 1 / day ; several per day)
Partying : 3 conditions (no partying, 1 hour of partying / day, 2 hours of partying / day)
Total number of conditions :
(2 * 3 * 3) = 18 conditions
The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?
Answer:
223.50
Step-by-step explanation:
1490x .15 = 223.50
PLEASE HELP!!
What value if m makes the equation true??
m+2m-6 =-12+2m
m=?????
The circumference of a circle is 23 pi M what is the area in square meters express your answer in terms of pie
Answer:132.25π m²
Step-by-step explanation:The circumference of a circle is 23π
On the other hand, The circumference of a circle = 2×π×r ; where r is the radius. Then by equating the last two expressions we get: 23π = 2πr then r = 23/2 then the area = π × r² = (23/2)²×π = (132.25)×π
Item 1
The table gives estimated annual salaries associated with two levels of education.
Level of education High school diploma Trade school certification
Estimated annual salary $27,500 $48,000
Based on the table, how much more money would a person with a trade school certification earn than a person with a high school diploma over a 30 year career?
$20,500
$75,500
$82,500
$615,000
Answer:A) 20,500
Step-by-step explanation: because 27,000+48,00=75,00 so you divdie that by 30 and you will get your answer of 20,500
I NEED HELP ON THIS PLZZZ HELPP
Answer:
[tex] 76 \: {in}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Are of square with side 8 in + 2 times the area of one triangle with base (8 - 5 = 3) 3 in and height 4 in
[tex] = {(8)}^{2} + 2 \times \frac{1}{2} \times 3 \times 4 \\ \\ = 64 + 12 \\ \\ = 76 \: {in}^{2} [/tex]
A cable TV/Internet/phone provider charges new customers $90 for all three services, per month, for the first year
under their 90 NOW promotion. Alice normally pays $59 for her monthly home phone service, $49 for Internet
service, and $69 for cable television
1. What are her percent savings if she switches to the 90 NOW plan? Round to the nearest percent.
Answer:
49%
Step-by-step explanation:
First find how much Alice is paying for the all three service currently.
Amount paid by Alice at present= 59 + 49 + 69 = $ 177
If she switches to 90 NOW plan, then the amount saved = 177 - 90 = $ 87
Percentage of savings = (saved amount ÷ total amount she was paying at present) * 100
[tex]= \frac{87}{177}* 100\\\\= 49.15[/tex]
= 49 %
Answer:
Step-by-step explanation:
Factorise the following expression:
[tex] {a}^{2} + 10a + 24[/tex]
Step-by-step explanation:
[tex]a^{2} + 10a + 24[/tex]
= [tex]a^{2}[/tex] + 6a + 4a + 24
= a(a + 6) + 4(a + 6)
= (a + 6)(a + 4)
Answer:
solution:
[tex] {a}^{2} + 10a + 24[/tex]
a²+6a+4a+24
a(a+6)+4(a+6)
(a+6)(a+4) is your answer
423 inches = _________ feet, _________ inches
Answer:
432 inches = 35 feet and 3 inches
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
What is the value of x?
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
If this doesn’t answer your question, then do you have any further information?
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
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