Answers
Answer:
∠ F ≈ 24.2°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FG}[/tex] = [tex]\frac{9}{20}[/tex] , then
F = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{20}[/tex] ) ≈ 24.2° ( to the nearest tenth )
Step-by-step explanation:
using the tangent ratio in the right triangle
Related Questions
1. A smaller square piece of plywood was cut from a larger square piece. If opposite ends of the remaining plywood have measures 2x + 5 cm and 2x – 5 cm, what expression represents its area?
2. A shipping container has a shape of a rectangular prism. If the area of its base is 49x2 + 14x + 4 sq. ft. and its height is 7x – 2 ft., what expression can be used to represent its capacity?
Answers
Answer:
Plywood1: x = width ; length = 2x
1) x (2x) = 4.5
2) 2x² - 4.5 = 0
a = 2 ; b = 0 ; c = -4.5
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a} = \frac{0 \pm\sqrt{0-4(2)(-4.5)} }{2(2)}= \frac{\pm6}{4} = \boxed{\frac{3}{2}}x=
2a
−b±
b
2
−4ac
=
2(2)
0±
0−4(2)(−4.5)
=
4
±6
=
2
3
Plywood2: x = width ; length = 2x-1.4
1) x (2x-1.4) = 16
2) 2x² -1.4x -16 = 0
a = 2 ; b = -1.4 ; c = -16
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{1.4 \pm\sqrt{1.96-4(2)(-16)} } < br / > {2(2)}=\frac{1.4 \pm11.4 }{4}=\boxed{3.2}x=
2a
−b±
b
2
−4ac
=
<
1.4±
1.96−4(2)(−16)
br/>2(2)=
4
1.4±11.4
=
3.2
Plywood3: x = width ; length = 5-x
1) x (5-x) = 6
2) -x² +5x -6 = 0
a = -1 ; b = 5 ; c = -6
3) x = \frac{-b \pm\sqrt{b^2-4ac} }{2a}=\frac{-5 \pm\sqrt{25-4(-1)(-6)} }{2(-1)}=\frac{-5 \pm1}{-2}x=
2a
−b±
b
2
−4ac
=
2(−1)
−5±
25−4(−1)(−6)
=
−2
−5±1
\boxed{x_1=3}
x
1
=3
\boxed{x_2=2}
x
2
=2
BRAIN LESS ANSWER
The scale of a map is 1:50000. A lake on the map is 6.16cm². find the actual area of the lake in hectares.
Answers
Answer:
1.54 [km²].
Step-by-step explanation:
1) the given scale is for linear functions, the given area of the lake is quadratic function. According to this
2) actual area = given area *50000 *50000;
3) the given area=0.000616 [m²],
the actual area=0.000616*50000*50000=1540000 [m²] or 1.54 [km²].
What is the first step in constructing an angle? Draw a horizontal ray. Connect the endpoint and the mark at the angle measure Make a mark at the number of degrees you want the angle to be. Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.
Answers
The first step in constructing an angle by means of a protractor is; Draw a horizontal ray.
How to Construct an angleThe first step in constructing an angle by means of a protractor involves a sequence of ordered steps as follows;
Draw a horizontal ray.Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor.Make a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measureRead more on Angle construction;
https://brainly.com/question/8607612
need help on this question
Answers
Answer:
3/7
Step-by-step explanation:
This is because you need to count the tick marks to 1.
That should be 7.
Then you count to the red dot.
That should be 3.
3/7
Answer: 3/7
Step-by-step explanation:
There are 7 segments that separates 1 from 0, therefore our denominator of the fraction is 7.
The red dot is on the third tick, making our numerator 3.
Our answer is 3/7, or [tex]\frac{3}{7}[/tex]
The circumference of a circular garden is 62.8 feet. What is the diameter of the garden? Use 3.14 for it and do not round your answer.
Answers
Answer:
19.98
Step-by-step explanation:
See attached image to find radius
Diamiter = 2*R
2*9.99=19.98
for Touya03..............
Answers
This is basically how they got the correct answer.
First they used the area formula:
[tex]\pi \times {r}^{2} [/tex]
So for you that would be:
[tex]\pi \times {9.8}^{2} [/tex]
Which equals
301.7
Since there's a hole in the circle we do the area of a square which is base times height.
Which is 3 x 3 = 9 for your problem
Then we subtract
301.7 - 9 = 292.7 !
Which is almost exactly 292.57 since there is a margin
On a coordinate plane, point A is located at (-5,3). To get to point B from point A, move 5 units to the right and 2 units down .What are the coordinates of point B?
Answers
-5+5= 0
3-2= 1
x=0 y=1
A bag contains 10 red, 20 white, and 30 blue marbles. If one marble is drawn from the bag, what is the probability that the marble is not red?
Answers
help me find the total surface area of this shape
Answers
Answer: 808.64 m2
Step-by-step explanation:
Can somebody help me with this problem please
Answers
Answer:
$2.10
Step-by-step explanation:
The discount is described as 4/5 of 1.75% of the purchase price.
__
For a purchase price of $150, the discount is ...
discount = (4/5)(1.75%)($150) = $2.10
The discount for using cash is $2.10.
**PLS HURRY* and don't give me any links, they DO NOT work.
There are 7.4 billion people in the world. If the whole world were represented by a 30-person class: • 14 people would eat rice as their main food. • 12 people would be under the age of 20. • 5 people would be from Africa. 1. How many people in the class would not eat rice as their main food?
Answers
caculate 7.4 ÷ the people in different groups
The diameter of a circle is 5 in. Find its area to the nearest hundredth.
Answers
Answer:
19.63 in²
Step-by-step explanation:
Given:
[tex]\text{Diameter of circle: 5 inches}[/tex]
Determine the radius of the circle:
The relationship between the diameter and the radius of the circle is that the diameter is two times larger than the radius. Thus, the diameter needs to be divided by two to obtain the radius of the circle.
⇒ Diameter/2 = Radius⇒ 5 inches/2 = Radius⇒ 2.5 inches = RadiusDetermining the area of the circle:
The area of the circle is πr². Let's substitute the measure of the radius to determine the area of the circle.
⇒ πr² = Area of circle⇒ π(2.5)² = Area of circleSimplify the square of 2.5:
⇒ π(2.5)(2.5) = Area of circle⇒ 6.25π = Area of circleReplace π with 3.14 (Approx.):
⇒ 6.25(3.14) = Area of circle⇒ 19.625 in² = Area of circleFurthermore, the question said to round to nearest hundredth...
⇒ 19.63 in² = Area of circle
Can you get the answer then you win
Answers
I think number two is 21
Don’t trust me if u don’t trust me .
I’m in sixth grade
There were 21 children who were older than 7 years.
What is Histogram?A histogram is a graph that depicts the frequency distribution of a few data points from a single variable. Histograms frequently divide data into "bins" or "range groups" and count the number of data points that belong to each of those bins.
The bar graph graphically represents category data. A histogram is a graph that represents quantitative data. Each pair of consecutive bars is separated by an equal amount of space.
The data from the Histogram can written as
Age group Number of Children
1 - 3 5
3 - 5 3
5 - 7 6
7 - 9 8
9 -11 9
11 - 13 4
So, the number of children who were older than 7 years
= 8 + 9 + 4
= 21 children
Learn more about Histogram here:
https://brainly.com/question/30354484
#SPJ7
what is 169 +169/23? give answer
Answers
Answer:
4056/23
Step-by-step explanation:
[tex]\begin{aligned}169+\dfrac{169}{23} & =\dfrac{169}{1}+\dfrac{169}{23}\\\\ & =\dfrac{169\times 23}{1\times 23}+\dfrac{169}{23}\\\\ & =\dfrac{3887}{23}+\dfrac{169}{23}\\\\ & =\dfrac{3887+169}{23}\\\\ & =\dfrac{4056}{23}\end{aligned}[/tex]
Write the unit rate for each of the following
Answers
Answer:
1. $36/4 hours = $9per hour
2. 350miles/7hours = 50mile per hour
3. 1.60 / 20 = $0.08 per pen
for the quadratic function f(x)=5x^2-2x+3, find f(x+2), f(x+2)-f(x), and f(x+h)
Answers
Answer:
f(x + 2) = 5x² + 18x + 19
f(x + 2) - f(x) = 20x + 16
f(x + h) = 5x² + 10hx + 5h² - 2x - 2h + 3
Step-by-step explanation:
1. f(x + 2)
[tex]f(x)=5x^2-2x+3\\f(x+2)=5(x+2)^2-2(x+2)+3\\f(x+2)=5(x+2)(x+2)-2(x+2)+3\\f(x+2)=5(x^2+4x+4)-2(x+2)+3\\f(x+2)=5x^2+20x+20-2(x+2)+3\\f(x+2)=5x^2+20x+20-2x-4+3\\f(x+2)=5x^2+18x+20-4+3\\f(x+2)=5x^2+18x+19[/tex]
2. f(x + 2) - f(x)
[tex]f(x+2)-f(x)\\(5x^2+18x+19)-(5x^2-2x+3)\\5x^2-5x^2+18x-(-2x)+19-3\\0x^2+18x+2x+16\\20x+16[/tex]
3. f(x + h)
[tex]f(x)=5x^2-2x+3\\f(x+h)=5(x+h)^2-2(x+h)+3\\f(x+h)=5(x+h)(x+h)-2(x+h)+3\\f(x+h)=5(x^2+2hx+h^2)-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2(x+h)+3\\f(x+h)=5x^2+10hx+5h^2-2x-2h+3[/tex]
80/180 simplified to its simplest form
Answers
4/9
hope it helps...!!!
Answer:
[tex] \frac{4}{9} [/tex]
Step-by-step explanation:
[tex] \frac{80 \div 10}{180 \div 10} = \frac{8 \div 2}{18 \div 2} = \frac{4}{9} [/tex]
Hope this help you out =)
Solve for the equation x
Answers
Answer:
15.4
Step-by-step explanation:
∠RSA =
95`
95-18=
77/5=
15.4
4 x 15.4=
61.6+7=
68.6
an ice cream shop manager lowered the price for a single scoop of ice cream from 2.50 to 2.00 what is the precent of decrease in the price
Answers
2.50/0.5= 5 = 100%
2.00/0.5=4 = 80%
100-80= 20%
Can someone explain how I would find the value of y in the following equation? I know the answer, I just don’t understand how to do it. Giving Brainliest, please help!
y = 157y/38 - 3,321.485
Answers
Answer:
The answer is, y = 1060.64
Step-by-step explanation:
First, you want to multiply both sides by 38, which gives you
38y = 157y -126216.
Then you want to rearrange:
119y = 126216
then you want to divide by 119, which gives you y=126216/119, which is 1060.64
I'll be expecting my reward :)
The cost to rent a condominium at the beach is $1,500 per week. If two people share the cost, they each have to pay $750. Explain why the relationship between the cost per person varies inversely with the number of persons sharing the cost. Then write an inverse variation function that can be used to calculate the cost per person, c, of p persons sharing the rental fee.
Answers
Step-by-step explanation:
c = cost per person
p = number of people
The cost per person is 1500/p, where
is the number of people. A larger p creates a smaller value of c since they are INVERSELY RELATED.
I believe the inverse variation function is
c = 1500 × 1/p
make sure to ask if you need anything else. :)
What is the probability of choosing 3 or 4?
Answer:
Answers
1/2 because there are only 2 choices.
what is the first step to 11-3x=44 ?
Answers
Answer:
Subtract 11 both sides to isolate the variable and it's cooeficient.
Step-by-step explanation:
Given equation:
11 - 3x = 44The main goal to determine the solution of the equation is to isolate the variable that is present in the equation.
(1) Subtract 11 both sides to isolate the variable and it's cooeficient.
(2) Simplify if possible.
(3) Divide the cooeficient (-3) both sides to remove the cooeficient from the variable.
Once the variable has been isolated, the opposite side of the variable will be the solution to the variable.
⇒ 11 - 3x = 44Step-1: Subtract 11 both sides
⇒ 11 - 3x - 11 = 44 - 11⇒ -3x = 44 - 11Step-2: Simplify (if possible)
⇒ -3x = 44 - 11⇒ -3x = 33Step-3: Divide the cooeficient of x (-3) both sides
⇒ -3x = 33⇒ -3x/-3 = 33/-3⇒ x = -11Therefore, the first step in simplifying the expression (11 - 3x = 44) is to subtract 11 both sides to isolate the variable and it's cooeficient. When the expression is simplified, we get the solution x = -11.
LOCKS IN 15 MIN! WILL GIVE BRAINLEST! In a right triangle, the side opposite angle θ has a length of 80 inches, the side adjacent to angle θ has a length of 84 inches, and the hypotenuse has a length of 116 inches. What is the value of tan(θ)?
0.724
1.050
0.690
0.952
Answers
tan θ = 0.952
tan θ = AC ÷ BC
tan θ = 80 ÷ 84
tan θ = 0.952
☆...hope this helps...☆
What is the area of the trapezoid
Answers
Answer:
153
Step-by-step explanation:
Triange area = 1/2 b*h
= 1/2 (7)*(9)
=31.5 (for 1 triangle)
2(31.5) = 63 (for 2 triangles, left and right)
Rectangle area = b *h
= 10*9
=90
Total = 2 triangles + rectangle
63+90 = 153
Answer: 108
Step-by-step explanation: the formula, 10+7(2)/2 x 9 = 108
What is the volume of the right rectangular prism?
A prism has a length of 10 centimeters, height of 3 centimeters, and width of 8 centimeters.
21 Centimeters cubed
42 Centimeters cubed
83 Centimeters cubed
240 Centimeters cubed
Answers
Answer: D: 240 Centimeters cubed
Step-by-step explanation:
Volume = LxWxH
Volume = 10 x 8 x 3
Volume = 240cm³
Your answer is D: 240 Centimeters cubed
A standard deck of cards has 52 cards, 13 of each of the 4 suits: hearts, diamonds, clubs, and spades. after shuffling the deck, linbo deals the cards to his friends for the game. which expression can be used to find the probability that the first three cards that he deals are all hearts if none of them are replaced? (startfraction 13 over 52 endfraction) (startfraction 12 over 52 endfraction) (startfraction 11 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 12 over 51 endfraction) (startfraction 11 over 50 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 52 endfraction) (startfraction 13 over 51 endfraction) (startfraction 13 over 50 endfraction)
Answers
The probability that the first three cards that he deals are all hearts if none of them are replaced will be [tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The given data in the problem is ;
Total number of the card in the deck = 52
No of hearts = 13
If one heart is taken out one at a time we will get the probability that the first three cards that he deals are all hearts if none of them are replaced
From the total card one by one the cards is taken out without the replacement;
Without replacement, the card will be reduced by 1Also the heart card will also be decreased by one.
The probability that the first three cards that he deals are all hear will be;
[tex]\rm P = \frac{13}{52} \times \frac{12}{51} \times\frac{11}{50}[/tex]
Hence option B is correct.
To learn more about the probability link is given below.
https://brainly.com/question/795909
Answer:
B
Step-by-step explanation:
Big daddy
3
Select all the correct answers.
Which factors compose the least common denominator for this difference?
115
32 + 48 - 12
2:2
45
(x - 6)
(x - 2)
2:
(3 - 4)
(3 + 2)
(5 + 6)
Answers
Answer:
The factors that compose the LCF of the difference are :
2x [tex]\huge\checkmark[/tex]
(x - 2) [tex]\huge\checkmark[/tex]
(x + 6) [tex]\huge\checkmark[/tex]
Step-by-step explanation:
x² + 4x - 12 = x² - 2x + 2x + 4x - 12
= x² - 2x + (6x - 12)
= x(x - 2) + 6(x - 2)
= (x - 2)(x + 6)
2x² - 4x = 2x(x - 2)
We get
2x² - 4x = 2x(x - 2)
x² + 4x - 12 = (x - 2)(x + 6)
then
The least common denominator is 2x(x - 2)(x + 6)
Answer:
2nd, 3rd and 6th
Step-by-step explanation:
Factorise the denominators of both fractions
x² + 4x - 12 = (x + 6)(x - 2)
2x² - 4x = 2x(x - 2)
The least common denominator is then
2x(x - 2)(x + 6)
HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
25.6 MB
Step-by-step explanation:
Question: 256 MB file tha'ts been downloaded 16.4%
256 × 16.4% = 256 × 0.164 = 25.584 (using a calculator)25.584 MB is our accurate answerWe need to round to the nearest 10th.5 is where our 10th isto the right is .08.58 rounds UP to .6We go from 25.584 to 25.625.6 MBAnswer:
42.5 MB.
Step-by-step explanation:
Why?
16.4% of 259 = 42.476
(using a calculator)
Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( [tex]x\geq 5[/tex] ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.
Making the answer: 42.5 MB
Hope this helps!
A rectangular prism has a length of 4m, a height of 11m, and a width of 17m. What is its volume, in cubic m?
Answers
Answer:
748m³
Step-by-step explanation:
Hello!
The volume of a rectangular prism is determined by the formula [tex]l * w * h[/tex]. To find the volume is to find how much space the object takes up in 3D. The formula is used to find the area of the base ( [tex]l * w\\[/tex] ), or the space taken on a 2D plane and multiplied by the height to give it 3 Dimensions.
Breakdown of [tex]l * w * h[/tex]:
[tex]l[/tex] is length[tex]w[/tex] is width[tex]h[/tex] is heightFind the Volume:
Use the formula and plug in values into the formula.
V = l * w * hV = 4 * 17 * 11748Th units of length are m, and volume is the units cubed, so the units are m³.
The volume is 748m³
Answer:
748
Step-by-step explanation: V= W*H*L
17*11*4= 748m^3