Answers
Answer:
[tex]CD = 12.6866616739cm[/tex]
[tex]CD \approx12.7cm[/tex]
Step-by-step explanation:
[tex]CB = a[/tex]
[tex]AB = b[/tex]
[tex]AC = c[/tex]
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
[tex]a = \sqrt{ {12}^{2} - {6}^{2} } [/tex]
[tex]a = \sqrt{144 - 36} [/tex]
[tex]a = \sqrt{108} [/tex]
[tex]CB = \sqrt{108} [/tex]
[tex] \sin(D) = \frac{opposite}{hypotenuse} [/tex]
[tex] \sin(D) = \frac{CB}{CD} [/tex]
[tex] \sin(55) = \frac{ \sqrt{108} }{CD} [/tex]
[tex](CD) \sin(55) = \frac{ \sqrt{108} }{CD} (CD)[/tex]
[tex](CD) \sin(55) = \sqrt{108} [/tex]
[tex] \frac{(CD) \sin(55) }{ \sin(55) } = \frac{ \sqrt{108} }{ \sin(55) } [/tex]
[tex]CD = \frac{ \sqrt{108} }{ \sin(55) } [/tex]
[tex]CD = 12.6866616739cm[/tex]
[tex]CD \approx12.7cm[/tex]
Related Questions
Find the missing number of each unit rate 48/3 = ?/1 56/8 = ?/1
Answers
Answer:
16 and 7
Step-by-step explanation:
48/3 = 16. 16 = 16/1
56/8 = 7. 56/8 = 7/1
View the picture above. Plssss I need help I'll give brainlest to the person that answers right and you have to explain how you got the answer.
Answers
Answer:
x < -27
-4.5 > m/6
Step 1: Simplify both sides of the inequality.
-4.5 > 1/6 m
Step 2: Flip the equation.
1/6 m < −4.5
Step 3: Multiply both sides by 6.
6* ( 1/6 m ) < (6)* ( −4.5 )
m <− 27
Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.
Answers
Answer:
Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.
Step-by-step explanation:
Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)
Now add the adults to children: 160+152=312
now divide by 12 to see how many batches of cupcakes he needs to make.
312÷12=26 So he needs to make 26 batches
Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)
5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.
now make the measurements the same as Mark's ingredients (or the other way around)
(to save time I am not showing each one, just the normal ingredients turned into kg and compared)
5 kg butter < 5.2 kg butter
5 kg caster sugar < 5.2 kg butter
90 eggs < 104 eggs
5 kg flour < 6.5 kg flour
Now do a little subtraction.....
5.2 kg-5 kg = 2 kg butter is needed....
5.2 kg - 5 kg = 2 kg caster sugar is needed....
104 - 90 = 14 eggs needed....
6.5 kg - 5 kg = 1.5 kg flour needed....
And there you go!!! Hope this helped!!! :D
The amount of ingredients that Mark still requires after getting it from the kitchen is needed.
The amount of ingredients Mark still needs is
200 g of butter
200 g of caster sugar
14 eggs
1500 g of flour
The number of cupcakes that are needed for 152 adults and 80 children is
[tex]152+2\times 80=312[/tex]
For the 12 cupcakes the ingredients are
200 g butter
200 g caster sugar
4 eggs
250 g flour
For 1 cupcake the ingredients are
[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter
[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar
[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs
[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour
For 312 cupcakes
[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter
[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar
[tex]312\times \dfrac{1}{3}=104[/tex] eggs
[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour
The required ingredients are
[tex]5200-5000=200\ \text{g}[/tex] of butter
[tex]5200-5000=200\ \text{g}[/tex] of caster sugar
[tex]104-90=14[/tex] eggs
[tex]6500-5000=1500\ \text{g}[/tex] of flour
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What is 6 1/3−1 2/3?
Answers
Answer:
4 2/3!
Step-by-step explanation:
Answer: [tex]4 \frac{2}{3}[/tex]
Step-by-step explanation:
Lets start by subtracting 6 by 1.
6 - 1 = 5
Now we need to subtract 1/3 by 2/3. Which means we will need to take one from the 5 and add it to the 1/3. So we get [tex]1 \frac{1}{3}[/tex]. Now we subtract 1 1/3 by 2/3. The answer to that is 2/3.
So our answer is 4 2/3
A car dealership sold 255 cars in 5 months. At what rate did the dealership sell cars in cars per month?
Answers
Answer:
46
Step-by-step explanation:
because its a simple explaination
Answer:
51%
Step-by-step explanation:
2hey mate is thats the answer
Use the slider to change the scale factor. The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?
Answers
Answer:
5 by 4
Step-by-step explanation:
sleepy haha sleepy sleepyy
Answer:
THe answer 5 by 4
Step-by-step explanation:
:)
How many solutions does (3x – 15) = x - 10 have?
Answers
Answer:
3
Step-by-step explanation:
Which of these is NOT equivalent to 2^−3?
-2^3
2(1/4)^2
2^2 x 2^-5
(1/2)^3
Answers
Answer:
2(1/4)^2
Step-by-step explanation:
Hope it helps you in your learning process.
If f (x) = x2 and g(x) = x2–5x + 6, what is g (f (x)) ?
Answers
Which equation can be used to find the sale price, s, of an oil change?
1. s= 85 • 30
2. s= 85/30
3. s= 0.85 (30)
4. s= 0.85/30
Answers
The equation that can be used to find the sale price ,s, of an oil change would be =s= 0.85 (30). That is option 3.
What is sale price?A sale price of a product is defined as the cost of that product which shows its value in the market or economy.
The oils change at city auto = $30
The percentage of coupon that Mr Allen has = 15% of $30
That is;
= 15/100 × 30
= 450/100
=$ 4.5
= 30-4.5 = $25.5
The sale price = $25.5 which is the same as 0.85 (30) since 100-15 = 85%= 0.85
Learn more about percentage here:
https://brainly.com/question/24304697
#SPJ1
Complete question:
An oil change at city auto is regularly $30 Mr. Allen has a coupon for 15% off.
Which equation can be used to find the sale price, S, of an oil change?
Evaluating expressions
Evaluate 10m +
n2/4
when m=
5
and n=4
Answers
Answer:
52
Step-by-step explanation:
given: m = 5, n = 4
10m + n2/4
substuting :
10(5) + (4)2/4
50 + 8/4
50 + 2
52
Find the value of x when 6 - 4x = 7X-9x - 4.
The value of x is ..
Answers
Answer:
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Please help!!! Thank you
Answers
Answer:
5. =8
6= x=20 ur welcome
Answer: x = 8, x = 5
Step-by-step explanation:
first problem: first, we collect like terms
3x + 3 = 2x + 11
then, we move the terms around.
3x - 2x = 11 - 3
finally, we collect those like terms and calculate.
x = 8
second problem: first, we rewrite the expression
2 x 3x + 1 = 2x + 21
then, we calculate.
6x + 1 = 2x + 21
next, we move the terms,
6x - 2x = 21 - 1
then, we collect the like terms.
4x = 20
finally, we divide both sides.
x = 5
34 out of the 68 students at a school assembly were first-grade students. What percentage of the students at the assembly were first-graders?
Answers
Answer:
50%
Step-by-step explanation:
34/68=0.5=50%
Answer:
50%
Step-by-step explanation:
because yes
PLEASE HELP, MARKING BRAINLIST!
Answers
Answer:
2 miles
Step-by-step explanation:
because they completed the loop twice:1x2=2
Answer:
tw0 miles.
Step-by-step explanation:
if its 0ne mile l0ng, and the went around twice, it w0uld be tw0 miles :>
You deposit $2000 in an account that earns 5% annual interest. Find the balance in the account after 8 years if the interest is compounded monthly
Answers
FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]
= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96
= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]
= 2981.17
A youth organization decided to go to the movies,
Adult tickets cost $7.00 each, and youth tickets cost $5.00 each. If four
adults purchased tickets, and the total bill cost of the outing was $118.00,
how many youth attended went to the movies?
Answers
Answer:
7x + 5y = C
Step-by-step explanation:
Answer:
18 children
Step-by-step explanation:
4x$7=$28
$118-$28=90
90 divided by $5
18Samuel has $60 in a savings account. Each week he deposits $12 in the account. Which expression is equivalent to the total amount in the account after x weeks? select all that apply.
a. 60x + 12
b. 60 + 12x
c. 12(5 - x)
d. 12x + 60
e. 12(5 + x)
Answers
Answer:
B, D, E
Step-by-step explanation:
As Samuel adds money to his account we are multiplying the times he adds with 12 therefore x multiplied by 12 will give us the total he added + 60 the original number.
As of D the position does not matter because B and D are both the same.
For E if we distribute or multiply 12 into the brackets we get the same statement as that of B and D.
A does not work because he is adding 12 dollars into the account everytime and not 60 dollars, C doesn't work because we would be subtracting the amount he is adding so we would be removing the money from the bank.
(The question is in the photo)
Answers
Answer:
6.99
Step-by-step explanation:
11.99+2.99+5.99=20.97
20.97/3=6.99
Divide by 3 (3 friends)
20.75/3= $6.99
Mark, Paul and Brian share some sweets in the ratio 1:3:5. Mark gets 14 sweets. How many
did Brian get?
Answers
Answer:
7
Step-by-step explanation:
hope it helps
Then from the total number of sweets (14) divide by 9 which gives you 1.5
Then 1.5x Brian’s share (5) gives you 7 sweets
It’s this one and I’m done
Answers
Answer:
168 in
Step-by-step explanation:
Pythagoras says:
b² + 56² = 70²
so
b² = 70² - 56²
b = √1764 = 42
so the perimeter is 70+56+42 = 168
HELP I ONLY HAVE 5 MIN TO TURN THIS IN!!!!!!!
WILL MARK BRAINLIEST I CORRECT!!!!
ANSWER 21-25 CORRECTLY PLS!!
Answers
Answer:
Parent function is f(x) in all following questions. The coefficients can be replaced with numbers you want but within restriction provided.
Q21
y = f(-x + 5)Q22.
y = kf(x) + 4, k > 1Q23
y= - f(kx), k > 1Q24
y = kf(x + 2), 0<k<1Q25
y = kf(px), 0<k<1 and p>1Answer:
Q21
y = f(-x + 5)
Q22.
y = kf(x) + 4, k > 1
Q23
y= - f(kx), k > 1
Q24
y = kf(x + 2), 0<k<1
Q25
y = kf(px), 0<k<1 and p>1
this is due tomorrow if someone could help me that would be great <3
Answers
Hope this helped!
First Row
[tex]\frac{5}{18}[/tex]
[tex]\frac{10}{21}[/tex]
[tex]\frac{9}{40}[/tex]
6
5[tex]\frac{1}{3}[/tex]
(this one is already done)
Second Row
4[tex]\frac{4}{9}[/tex]
5[tex]\frac{1}{16}[/tex]
[tex]\frac{13}{18}[/tex]
6[tex]\frac{1}{4}[/tex]
11[tex]\frac{2}{3}[/tex]
What is the value of x?
Enter your answer in the box.
__ Units
Answers
Answer:
47
Step-by-step explanation:
What number is halfway between –8 and 12
Answers
Answer:
2
Step-by-step explanation:
-8 + 10 = 2
12 - 10 = 2
Therefore it is in the middle lol.
PLEASE HELP:
The deductions from Jennifer Miller's monthly pay are federal income tax (FIT) of $87, state income tax (SIT) of 2.5% of gross, (CIT) city income tax of 1.2% of gross, social security, and medicare. Her next monthly pay is $3,981.22. Find Jennifer's monthly gross pay.
A) $4,529.05
B) $4,551.23
C) $4,576.58
D) $4,589.08
Answers
Answer:
$4,711.31
Step-by-step explanation:
Calculation for Jennifer's monthly gross pay
First step is to calculate The total tax percentage deductions
Using this formula
Total tax percentage deductions =State tax + City tax + Social security + Medicare
Let plug in the formula
Total tax percentage deductions = 3.5% +2.5% +6.2% +1.45%
Total tax percentage deductions = 13.65%
Now let calculate the monthly gross pay
Monthly gross pay= ($3,981.22 +87)/(1-13.65%)
Monthly gross pay= ($3,981.22 +87)/0.8635
Monthly gross pay=$4,068.22/0.8635
Monthly gross pay= $4,711.31
8=−2/5c
Help me
I’m single ready to mingle
Answers
Answer:
-20
Step-by-step explanation:
First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.
9) Brenda spent $30 on eating utensils.
Spoons cost $6 and forks cost $2. If she
bought a total of 9, then how many of each
kind did she buy?
Answers
Rectangle A is 10 times as long as rectangle B.
If rectangle A is 80 units long, select all the ways to find the length of rectangle B. *
Answers
Answer:
Step-by-step explanation:
You will have to find what times what = 80 so 8 x 10 = 80 so the answer is 8
Answer:
Rectangle B is 8 units long.
Step-by-step explanation:
One way to Figure it out is to take 80 (rectangle A) and divide it by 10.
80/10 = 8
Find the side length of the square 16x2 +56x +49
Answers
Answer:
(4x+7)(4x+7)
Step-by-step explanation: