Answers
Answer:
b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.
Step-by-step explanation:
With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.
So in this case:
The original leg's length is 8 mm. Side b will be that 8 times √3.
So, b = 8√3 mm.
Side a will be 8 times 2.
So, a = 16 mm.
With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.
So in this case:
The original leg's length is 5 ft. Side x will be that same length.
So, x = 5 ft.
Side y will be 5 times √2.
So, y = 5√2 ft.
Answer:
b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.
Step-by-step explanation:
With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.
So in this case:
The original leg's length is 8 mm. Side b will be that 8 times √3.
So, b = 8√3 mm.
Side a will be 8 times 2.
So, a = 16 mm.
With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.
So in this case:
The original leg's length is 5 ft. Side x will be that same length.
So, x = 5 ft.
Side y will be 5 times √2.
So, y = 5√2 ft.
Related Questions
PLEASE HELP I NEED THIS
Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?
Answers
Answer:
336/13 books in 48 months
Step-by-step explanation:
14 books : 26 months
first, find how many books he reads in one month (by dividing the given rate by the number of months)
14 books : 26 months
/26 /26
7/13 books : 1 month
now multiply by the number of months that this problem requires
7/13 books : 1 month
*48 *48
336/13 books : 48 months
3-8
18
Which expressions equivalent to
Select all that apply.
1
A
34
1
B
312
C 3-4
D 32
E
1
32
F 3-12
Answers
Answer:
A and C
Step-by-step explanation:
When you are dividing exponents you subtract. So for this problem -8 - -4 = -8 + 4 = -4. This means that the new exponent would be -4.
When you have a negative exponent, the equation is a fraction. As an example x^-5 would be equal to 1/x^5. For this equation, since you know that the new exponent is -4, an equivalent equation would be 1/3^4.
Hope this helps
Can someone please help me with this question:)
Answers
Answer:
x = 12 and y = 24 Can I get brainiiest
Step-by-step explanation:
We know (3x + 34) and (2x + 46) are vertical to each other so they equal the same measure. We will solve it like this.
3x + 34 = 2x + 46 (subtract 34 on each side)
3x = 2x + 12 (subtract 2x on both sides)
x = 12
Now plug in
3(12) + 34 = 2(12) + 46
36 + 34 = 24 + 46
70 = 70
Now all you have to do is do the other pair of angle
4y + 14 + 70 = 180 (we are using what we already know about 70)
(collect like terms)
4y + 84 = 180 (subtract 84 on both sides)
4y = 76 (divide by 4)
y = 24
(plug in)
4(24) + 14 = 6(24) - 34
96 + 14 = 144 - 34
110 = 110
A waiter earned a 3% tip. What decimal is equivalent to 3%
Answers
Answer:
0.03
Step-by-step explanation:
1 would be 100% so 0.03 would = 3
It was -8°F in the morning. The temperature increased throughout the day, and in the afternoon, it was 11°F. How much did the temperature change?
Answers
Answer:
19
Step-by-step explanation
This is simple
I will teach you a simple technique
Count them, don't count the -8
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
You are just subtracting, but instead counting.
I said not to count -8, because normally in subtraction, we normally don't count the number we are subracting.
for example
8 - 7 = 1
so counting technique
8 - 7, 6, 5, 4, 3, 2, 1
there are 7 numbers, if i didn't count the 8
so it is right.
hope you understand :-)
5.1 x 10
Please help
Answers
Answer:
51
Step-by-step explanation:
Because 5.1 times ten equals 51 because if you times ten by 5 u get 50 and then do .1 times ten you get 1
Convert 137 pounds to kilograms. Use 1 kg = 2.2 lb.
Answers
Answer:
62.1422
Step-by-step explanation:
62.142
Any conversation from lbs to kilograms can be approximated by dividing labs by 2.205
Nick is making a fruit salad. He buys apples for $1.29 per pound and oranges for $1.35 per pound. He spends no more than $12. Let x represent the number of pounds of apples that Nick buys. Let y represent the number of pounds of oranges that Nick buys. Which inequality represents this situation? 1.29x+1.35y<12 1.29x+1.35y≥12 1.29x+1.35y>12 1.29x+1.35y≤12
Answers
Answer:$15.95
Step-by-step explanation:
You have to Add to get your answer I'll show you how I got $15.93:
1.29+1.29=$2.58
2.58+1.35=$3.93
3.93+12=$15.93
Your answer is:$15.93
hope this was helpful:)
solve this equation step by step x+3*2=12-2*2
Answers
Answer:
Step-by-step explanation:
x+3*2=12-2*2
x+6=12-4
x+6=8
-6 -6
x=2
Find the slope.
|(3, 2) and (-5,2)
Answers
Answer:
Step-by-step explanation:
Given two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
, the slope is defined as
XXX
m
=
Δ
y
Δ
x
=
y
2
−
y
1
x
2
−
x
1
1. The sum of first n terms of an arithmetic sequence is 3n²+4n
a, what is its first term?
b, write the algebraic form of the sequence.
c, find the 20th term.
Answers
Answer:
a. a₁=7, b. a_n=7n+1, c. a₂₀=141Step-by-step explanation:
a.
[tex]a_1=S_1=3\cdot1^2+4\cdot1=3+4=7[/tex]
b.
[tex]a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}[/tex]
c.
[tex]a_{20}=7\cdot20+1=141[/tex]
Write an interpretation of the statement f(3) = 75.
Answers
Given:
The statement is
[tex]f(3)=75[/tex]
To find:
The interpretation for the given statement.
Solution:
We know that,
[tex]f(x)=y[/tex] ...(i)
Here, x is the input value and y is the output value.
We have,
[tex]f(3)=75[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]x=3,y=75[/tex]
It means, the output value of the function f(x) is 75 at x=3.
true or false, the ratios 4:10 and 8:20 are equivalent
PLEASE HELP IF I FAIL MY MOM IS GONNA-
Answers
Answer:
True
Step-by-step explanation:
If you multiply both 4 and 10 by two, you get 8 and 20
The ratios 4:10 and 8:20 are Equivalent.
What is ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
As, when the two ratios are equal after simplifying then they are equivalent ratio.
So, 4/10
= 2/5
and, 8/20
= 2/5
As, both ratios are giving equal value after simplifying.
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ2
In a shoe store window, Sandy sees a sign announcing 25% off all sandals in stock. She finds a pair she likes that was originally priced at $45. If Sandy buys this pair of sandals on sale, how much will she pay?
a)11.25 b)22.50 c)33.75 d) 56.25
Answers
What can you do to the Smiley Face 1 to get Smiley Face 2?
Answers
Answer:
turn 180
Step-by-step explanation:
A deli has a special one-day event to celebrate its anniversary. On the day of the event, every eighth customer receives a free drink. Every twelfth customer receives a free sandwich. If 200 customers show up for the event, how many of the customers will receive both a free drink and a free sandwich? Write your answer as a 3 digit number.
Answers
Answer:
25.0 gets a free drink
16.7 gets a free sandwich
Step-by-step explanation:
200÷8=25
200÷12=16.66 round to 3 digits would be 16.7
dont understandd helppp
Answers
Answer:
y[tex]\leq[/tex] -12 or y[tex]\geq[/tex] -4
Subtract 6 from both sides 3|y+8|+6-6[tex]\geq[/tex]18-6Simplify 3|y+8|[tex]\geq[/tex]12 Divide both sides by 3Simplify |y+8|[tex]\geq[/tex]4Apply absolute rule y+8[tex]\leq[/tex] -4 or y+8[tex]\geq[/tex]4Combined the interval y[tex]\leq[/tex] -12 or y[tex]\geq[/tex] -4y[tex]\leq[/tex] -12 or y[tex]\geq[/tex] -4:) Hope You Enjoy :) They are both real numbers :)(e) If f(x+3) = f(x) + f(5) then prove that: f(2)= 0 and f(5) = -f(-1)
Answers
Answer:
See below.
Step-by-step explanation:
f(x + 3) = f(x) + f(5) (Given) so:
f(2 + 3) = f(2) + f(5)
and f(2) = f(2 + 3) - f(5)
= f(5) - f(5) = 0.
f(-1) = f(-1 +3) - f(5)
= f(2) - f(5)
= f(-3)
So - f(-1) = f(3)
Also:
f(5) = f(x + 3) - f(x)
= f(x + 3 - x)
= f(3).
But f(3) = -f(-1) ( shown above),
So f(5) = -f(-1).
-0.4 divided by 0.25
Answers
Select all the equations where b=11b=11b, equals, 11 is a solution. Choose 2 answers: Choose 2 answers: (Choice A) A 2b=2112b=2112, b, equals, 211 (Choice B) B b+18=7b+18=7b, plus, 18, equals, 7 (Choice C) C 77=7b77=7b77, equals, 7, b (Choice D) D 9=b-29=b−29, equals, b, minus, 2 (Choice E) E 11=33\div{b}11=33÷b
Answers
Answer:
Step-by-step explanation:
We are to choose all the equation that evaluates b to be 11. The following equations are true;
77 = 7b
To get b, we will divide both sides by 7
77/7 = 7b/7
11 = b
b = 11
This shows that the equation is correct since b = 11
Also 9 = b-2
To get b, we will add 2 to both sides of the expression
9+2 = b-2+2
11 = b
b = 11
This shows that the equation is correct since b = 11
Hence option C and D are correct
Answer:
C and D
Step-by-step explanation:
You do the opposite of the question to get answer.
Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns 4% interest and Stock B earns 7% interest, and Jim has a total of $32,000 to invest. How much should he invest in each in order to earn $2,000 interest?
Answers
Given:
Total amount for investment = $32000
Rate of interest for Stock A = 4%
Rate of interest for Stock B = 7%
Jim is hoping to earn $2,000 in interest.
To find:
The amount of investments in Stock A and Stock B.
Step-by-step explanation:
Let amount of investments in Stock A = $x
Amount of investments in Stock B = $y
Total amount for investment = $32000
[tex]x+y=32000[/tex] ...(i)
Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.
[tex]0.04x+0.07y=2000[/tex] ...(ii)
From (i) and (ii), we get
[tex]0.04x+0.07(32000-x)=2000[/tex]
[tex]0.04x+2240-0.07x=2000[/tex]
[tex]-0.03x=2000-2240[/tex]
[tex]-0.03x=-240[/tex]
Divide both sides by -0.03.
[tex]x=\dfrac{-240}{-0.03}[/tex]
[tex]x=8000[/tex]
Put x=8000 in (i).
[tex]8000+y=32000[/tex]
[tex]y=32000-8000[/tex]
[tex]y=24000[/tex]
Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.
The weather center in Alaska recorded the average temperature for 42 days and prepared the dot plot shown. What was the mean temperature during that period?
A. 12.4 degrees
B. 10.7 degrees
C. 11.3 degrees
D. 9 degrees
Answers
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning
Answers
Answer:
A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.
Which choice lists the numbers in increasing order?
Answers
Answer:
D
Step-by-step explanation:
Because negative is smaller than fractions. and ABC, is all off.
Answer: I think the answer is D/ the last answer
Step-by-step explanation:
Identify the most precise name for the angle pair shown in the picture.
1. Adjacent Angles
2. Supplementary Angles
3. Vertical Angles
4. Linear Pair
5. Complementary Angles
Answers
Answer:
Complementary Angles
Step-by-step explanation:
Complementary angles are angles whos measures add up to 90 degrees! The angles in the picture can also be described as adjacent angles, because they share the same vertex.
So these angles are technically both complementary and adjacent, but they are more specifically, complementary.
I hope I was of assistance! #SpreadTheLove <3
The work W required to move a particle from a far distance to within radius r of another particle varies jointly as the product of the two particles' charges q1 and q2 and inversely as the radius r. Write a formula that models this proportion. (Use k as the constant of variation.)
Answers
Answer:
W = kq1q2 / r
Step-by-step explanation:
W varies jointly as the product of q1 and q2 and inversely as radius r
Product of q1 and q2 = q1q2
W = (k*q1"q2) / r
W = kq1q2 / r
Where,
W = work
q1 = particle 1
q2 = particle 2
r = radius
k = constant of proportionality
The answer is W = kq1q2 / r
Using proportions, it is found that the formula is:
[tex]W = k\frac{q_1q_2}{r}[/tex]
Work varies jointly as the charges, thus, the charges are in the numerator.Inversely as the radius, thus, the radius is in the denominator.There is a constant of proportionality k, which multiplies the fraction;Then, the formula is:
[tex]W = k\frac{q_1q_2}{r}[/tex]
A similar problem is given at https://brainly.com/question/18131403
Jacob's job pays him $12.50 per hour. Which equation can be used to find Jacob's salary,
y, if he works for x hours? *
(5 Points)
A. y = x/12.50
B.y = 12.50 + x
.
C.y = 12.50 - x
D.y = 12.50x
Answers
Answer:
D
Step-by-step explanation:
Answer:
idek I mean you did it to me so lol
Two lines intersecting at a right angle
form a line.
are parallel.
are perpendicular.
form aray
Answers
Answer:
Form aray
Step-by-step explanation:
Neither form a line and it also have both parts and perpendicular
x - y = 5 in slope intercept form
Answers
Step-by-step explanation:
Hey there!
Given;
x-y = 5
Slope intercept form: y = mx+c.
Now try to make it in y= mx+c form.
Take"-y" to right side and and 5 to left side.
x-5= y
Therefore, y = x-5
Hope it helps..
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp[[[[[[[[[Erica deposited $450 in a bank account at the beginning of the month. A payment of $35.20 is automatically deducted each month for her gym membership. If she makes no other deposits or withdrawals, how much money is in Erica’s account at the end of four months?
Answers
$309.20
Explanation:
We know that..
- Erica started off with $450 in her bank account
- $35.20 gets taken out of her bank account every month
Using this information, we can write an equation:
E = 450-35.2m
E= the amount of money Erica has
m= the number of months that pass
And now, all we have to do is substitute m as 4 to find out how much money is in Erica’s account after 4 months.
E = 450-35.2m
E=450-35.2(4)
E=309.2
Therefore, there would be $309.20 left in Erica’s bank account after 4 months.