9514 1404 393
Answer:
Q = ±2√R
Step-by-step explanation:
Take the square root:
±√R = 1/2Q
Multiply by 2:
Q = ±2√R
Fabric is stretched over the wooden frame below What is the total area of the fabric? Round to the nearest square inch
Answer:
72 in²
Step-by-step explanation:
We obtain the value of EC:
From Pythagoras :
EC = √CD² - DE²
EC = √10² - 6²
EC = √100 - 36
EC = √64
EC = 8
To obtain AE:
AE = √AB² - BE²
AE = √(√52)² - 6²
AE = √52 - 36
AE = √16
AE = 4
Hence, we can obtain the areas of each triangle :
△ABE = △ADE
△BCE = △CDE
AREA OF △ABE = 1/2 * base * height
= 1/2 * 4 * 6 = 12 in²
AREA OF △BCE = 1/2 * base * height
= 1/2 * 6 * 8 = 24 in²
HENCE, total area of fabric :
(2 * 12) + (2 * 24)
24 in² + 48 in²
= 72 in²
Evaluate the following expression. 45%[6x(17-9)-30]
Answer:
tdxutdxfhdxfhx hd tudbtd tudbytd
Step-by-step explanation:
fc fcgbtufnyufnutfiygniygmyufniygnyigfntudb rsdut rd utddutestur dutrd uttu uhgugfutfuy8. f utfuy. dutugvu v gigv. uvv gihg ihg igg gv ugv vug ugf ugv ugv v igiugigougojgohgiohgk h. i gigiy gygiygiytiy
A baseball pitching coach charges $90 for 2.5 hours of training. If you train for 9 hours in one week, how much will that cost for the week, in dollars?
Answe$324
Step-by-step explanation:
First you divide 9 by 2.5 to get 3.6 which is how many times you practiced for 2.5 hours
Next you multiply 3.6 by 90 to get 324
Round your answer to the nearest hundredth.
pls help :((
Answer:
Angle B = 29.74
Step-by-step explanation:
Tan(x)=opp/adj
Tan(x)=4/7
x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]
x=29.74
Beth wants to determine a 99 percent confidence interval for the true proportion pp of high school students in the area who attend their home basketball games. Out of nn randomly selected students she finds that that exactly half attend their home basketball games. About how large would nn have to be to get a margin of error less than 0.01 for pp
Answer: 16590
Step-by-step explanation:
Let p be the population proportion of high school students in the area who attend their home basketball games.
As per given,
prior p = 0.5
Margin of error E= 0.01
Criticfor z-value for 99% confidence = 2.576
Sample size will be computed as
[tex]n=p(1-p)(\frac{z^*}{E})^2\\\\ n= 0.5(1-0.5)(\frac{2.576}{0.01})^2\\\\=0.25(257.6)^2\\\\=0.25 (66357.76)\approx16590[/tex]
Hence, required sample size = 16590
The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 10% off. Is this equal to a 20% discount
Answer: It's not equal to 20% discount.
Step-by-step explanation:
Let's assume the cost of a good is $100. Since there's 10% off on every item, the cost of the good will be:
= $100 - (10% × $100)
= $100 - $10
= $90
Since the coupon states that one will receive an additional 10% off, therefore the amount that the person will pay will be:
= $90 - (10% × $90)
= $90 - (0.1 × $90)
= $90 - $9
= $81
If the same good is $100 and there's a 20% discount, the amount that'll be paid will be:
= $100 - (20% × $100)
= $100 - (0.2 × $100)
= $100 - $20
= $80
Therefore, it's not equal to 20% discount.
marks)
9 (b). The first two terms of an arithmetic progression are shown.
р
5p
The sum of the first three terms is 90
Work out the value of p.
9514 1404 393
Answer:
p = 6
Step-by-step explanation:
The difference between the first two terms is ...
5p -p = 4p
Since this is an arithmetic sequence, the next term will be 4p more than the last term:
5p +4p = 9p
Then the sum of the first three terms is ...
p + 5p + 9p = 90
15p = 90 . . . . . . . . . . collect terms
p = 6 . . . . . . . . . . . . divide by 15
_____
The first three terms are 6, 30, 54.
What’s the answer and How do you do these
Find the length of the arc in terms of pi A 144° 10 AB = [?]
Answer:
arc AB = 144°/360° x 2π x 10
= 2/5 × 20π = 8π
Find the volume of this cylinder.
Round to the nearest tenth.
16cm
4 cm
[?] cm3
The volume of the given cylinder with a diameter of 4 cm and the height of the cylinder is 16cm is 201.062 cm².
What is the volume of a right circular cylinder?The right circular cylinder is the cylinder in which the line joining the centre of the top circle of the cylinder to the centre of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.
Suppose that the radius of the considered right circular cylinder is 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \pi r^2 h \: \rm unit^3[/tex]
The volume of the given cylinder is,
Volume of the cylinder = (π/4) × (4cm)² × 16cm
= 201.062 cm²
Hence, the volume of the given cylinder is 201.062 cm².
Learn more about the Volume of the Cylinder:
https://brainly.com/question/12763699
#SPJ2
Integrate Sin(3x)Cos(3x) dx
Answer:
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
Step-by-step explanation:
We use integration by substitution to obtain the integral, where:
[tex]u = \sin 3x[/tex], [tex]du = 3\cdot \cos 3x\,dx[/tex]
[tex]I = \int {\sin 3x\cdot \cos 3x} \, dx[/tex]
[tex]I = \frac{1}{3} \int {u} \, du[/tex]
[tex]I = \frac{1}{6}\cdot u^{2} + C[/tex]
[tex]I = \frac{1}{6}\cdot \sin^{2} 3x + C[/tex]
Where [tex]C[/tex] is the integration constant.
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
What’s the answer and how do you figure these out?
Answer:
140
Step-by-step explanation:
20x+60=30x+20
40=10x
x=4
and
20x+60
20*4+60
=140
Find the volume of the cone. Round your answer to the nearest hundredth.
Answer:
I believe the answer is 1.36
Can someone please help me?
Answer:
yes i can
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
If h(x) = x - 7 and g(x) = x², which expression is equivalent to (gºf)(5?
O (5-7)2
(5)²-7
O (5)? (5 – 7)
O (5-7) x²
Answer:
(5^2)(5-7)
Step-by-step explanation:
So we know h(x)=x-7.
We also know g(x)=x^2
We need to plug in these values for (g*h)(5)
This would equal:
((x-7)*x^2)(5)
Since parthese can also be considered multipcation symbols, we can think of this as:
(x-7)(x^2)(5)
Lets distrubute the 5 to all the x's:
(5-7)(5^2)
Which is:
([tex]5^{2}[/tex])(5-7)
This looks like answer C.
Hope this helps!
Solve the proportion: 144/a = 9/4
a=?
Step-by-step explanation:
eieueskhdbdjsikskskskjswhwjw
The expression 4x* represents 144
Answer:
x=36
Step-by-step explanation:
because 4x36=144
Answer:
4x = 144
4 • 36 = 144
The answer to the equation is 36
I need the answer HELP HELP HELP HELP
Answer:
A; TDC Inc., has 40 salespeople
B; Exactly half of the salespeople took fewer than 6 flights last year
F; Exactly half of the salespeople took at least 7 flights last year
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Answer:
carretilla
Step-by-step explanation:
la carretilla se encontraba a unos 18 metros de altura
Jeff and Eric roommates and enjoy talking about sports. They mainly discuss their favorite professional soccer teams. Jeff enjoys European soccer whereas Eric prefers American teams. Outside soccer they do not discuss much. Their lack of range of talking to it fall into which category?
0°
EXPLANATION:In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.
====================================
If you have any questions feel free to ask me^^
Have a nice and great day!
Cayler#PilipinasAngBayanKo
0°
Sana Maka help ako tnx
Solve the Exponential Equation:
[tex]5 { }^{66} = {3}^{42} [/tex]
My exam, does any one know the answer
Answer:
D) 7
Step-by-step explanation:
Five times a number=5x
added to 4= 5x+4
[tex]5x+4=39[/tex]
[tex]5x=35[/tex]
[tex]x=7[/tex]
So, the number is 7.
Sarah's vegetable soup recipe uses 2
cups of vegetables to make one pot of soup. She wants to triple the recipe.
How many cups of vegetables does she need?
Answer:
No.of cups for one soup : 2 cups
No.of cup for 3 soups: 2×3
=6
So , 6 cups of vegetable
HOPE IT HELPS U :)
Can i get some help hear
Answer:
Step-by-step explanation:
Since this is a assignment, I'll give a hint.
To find the area of a trapezoid, it'ls h(b1*b2)/2.
The height is how long the trapezoid is from each base.
The bases are the lines parralel to each other.
The graph shows the relationship between tablespoons and teaspoons. Determine a rule that relates the number of tablespoons by writing the correct term or value from the tiles in each blank.
Answer:
Multiply
1/3
Step-by-step explanation:
You can divide by 3 or multiply by 1/3. Since it looks like 3 is grayed out, I guess you have to use the latter.
The probability that Bob and Chris go to the movies is 0.35. The probability that Chris goes to the movies is 0.5. What is the probability that Bob goes to the movies given that Chris goes
Answer:
[tex]P(B/C)=0.7[/tex]
Step-by-step explanation:
From the question we are told that:
The probability that Bob and Chris go to the movies [tex]P(BnC)= 0.35.[/tex]
The probability that Chris goes to the movies [tex]P(C)= 0.5[/tex]
Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by
[tex]P(B/C)=\frac{ P(BnC)}{P(C)}[/tex]
Therefore
[tex]P(B/C)=\frac{0.35)}{0.5}[/tex]
[tex]P(B/C)=0.7[/tex]
Extremely STUCK on this one help!
I’m back again :( Please anybody help me
Welcome back....♡
Surface area = 2( 4 × 2 ) + ( 3 × 4 )
+ 2( 4 × 4 ) + 3( 10 × 4 )
+ 3( 4 × 7 )
Surface area = 16 + 12 + 32 + 120 + 84
Surface area = 264 in^2