Answer:
The apothem, rounded to the nearest tenth, is
2.9 units.
The perimeter of the equilateral triangle is
30 units.
Therefore, the area of the equilateral triangle is
1/2(2.9)(30), or approximately 43.5 units2.
The calculated areas are
the same, despite using different formulas.
Step-by-step explanation:
Edge
Please explain how you got the answer!
Answer:
One of the scenarios:
Reflection over y-axis, then Translation 1 unit right and 9 units downYou want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
You will need to order 3.75 cubic yards of topsoil.
Step-by-step explanation:
Since you want to put a 3 inch thick layer of topsoil for a new 15 ft by 26 ft garden, and the dirt store sells by the cubic yards, to determine how many cubic yards will you need to order given that the store only sells in increments of 1/4 cubic yards, the following calculation should be performed:
3 inches = 0.25 feet
15 x 26 = 390 x 0.25 = 97.5
1 cubic yard = 27 cubic feet
97.5 cubic feet = 3.61 cubic yards
3.75 = 1/4 x 15
Therefore, you will need to order 3.75 cubic yards of topsoil.
Find the value of the trigonometric ratio, Make sure to simplify the fraction if needed
Answer:
Cos Z = 7/25
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos Z = 14/50
Cos Z = 7/25
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
As the [tex]\triangle\sf{XYZ}[/tex] is a right angle traingle.
we know that,
[tex]\boxed{\underline{\sf{cos\blue{\theta}=\dfrac{adjacent}{hypertension} }}}[/tex]
According to the question,
[tex]cosZ=\dfrac{adjacent}{hypertension}\\\\cosZ=\dfrac{14}{50}\\\\\pmb{\green{\sf{cosZ}=\frak{\dfrac{7}{25}}}}[/tex]
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?
Answer:
320 minutes (5 hours and 20 minutes).
Step-by-step explanation:
2 hours and 17 minutes = 137 minutes
137 + 84 + 99 = 320
Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.
Which graph represents the step function f(x)=⌊x+2⌋?
Answer:
biyotiptol graph by using pen
Write the ratio $150 : $450 : $750 in its simplest form.
Answer:
1 : 3 : 5
Step-by-step explanation:
Given
$150 : $450 : $750 ( divide each part of the ratio by $150 )
= 1 : 3 : 5
Find the x-intercept or the
y-intercept of 8x+2y=6.
a. (0,3)
b. (3,0)
c. (-3,0)
d. (0,-3)
0,3 is the y-intercept (wich is always at x=0)
see screenshot for illustration.
you meant y-intercept, right?
What is the measure of the missing length?
Use the Pythagorean theorem
? = sqrt(52^2 + 19^2)
? = sqrt(2704 + 361)
? = sqrt(3065)
Answer: sqrt(3065)
Algebraic expression for 2a+3b-c if a=3 b=-4 c=-2
Answer:
-4
Step-by-step explanation:
a = 3
b = -4
c = -2
2a + 3b - c
= 2(3) + 3(-4) - (-2)
= 6 + (-12) + 2
= -4
Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option
Answer:
Call option and put option ( D )
Step-by-step explanation:
During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.
Call option is used when the trader is currently holding a short position
Put option is used when the trader is currently holding a long position
PLEASE SOMEONE HELP ME!!!!!!
Answer:
(B)5 is the correct answer for the question
what is the mass of raisins in a package
Answer:
Step-by-step explanation:
12
What is the approximate value of tan c?
A. 0.92
B. 0.44
C. 0.40
D. 2.29
Answer:
B. 0.44
Step-by-step explanation:
Tan = Opposite/Adjacent
Tan C = 7/16 = 0.4375 ≈ 0.44
(ED. 21) Analytic Geometry Unit Test..... #3 Which point is a solution of x2 + y2 > 49 and y ≤ –x2 – 4?
Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
Answer:
C on Edge or (1,-9)
Step-by-step explanation:
find the missing side of the triangle plz help me and explain plz bc I don't understand
Answer:
√8
Step-by-step explanation:
Pythagorean's Theorem says 2^2+2^2=4+4=8.
Answer:
So we know that this is a right isosceles triangle because 2 sides are equal and there's a 90 degree angle,
In an isosceles right triangle, the sides are in the ratio 1:1:[tex]\sqrt{2}[/tex]
a^2 + b^2 = c^2
We use the Pythagorean Theorem, where a and b are the legs and c is the hypotenuse.
2(2^2)=c^2
c=2[tex]\sqrt{2}[/tex]
Find the slope of the line through each pair of points (11, 18) (20, 12)
Answer:
2/3
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 12-18)/(20 -11)
= -6/-9
= 2/3
Find the missing length the triangles are similar
Answer:
Length of the missing side is 13
I hope it's helps you
2x(9x-4)-3x(6x-7)=26
Answer: x=2
Step-by-step explanation:
[tex]2x(9x-4)-3x(6x-7)=26\\18x-8x-18x+21x=26\\10x-18x+21x=26\\-8x+21x=26\\13x=26\\x=2[/tex]
What is the scale factor of this dilation?
A 2/3
B 1 1/2
C 3
D 5
Answer:
B. 1 1/2
Step-by-step explanation:
The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.
The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?
Answer:
The base cost of the camera, exclusive of sales tax, is $160.
Step-by-step explanation:
Set up this equation and solve for x, which is the cost of the camera:
$3.20 = $0.02x [0.02 = 2%]
Solve the equation by dividing $3.20 by 0.02. The answer is $160.
Answer: $160 for the camera
Step-by-step explanation:
0.2x160=3.2
$160
Can someone please help me with these questions (picture)
Step-by-step explanation:
Answer 1 to find the base to apply the Pythagoras theorem..of finding length..
Hypotenuse²= Base²+ Height²
So,
(H)²= (B)²+(H)²
12²= 8²+y²
144-64=y²
80=y²
√80= y
√2×2×2×2×5= y
2×2√5= y ( take one 2 from each pair)
4√5= y
hope it helps...
Answer:
4 sqrt(5); 41.0
Step-by-step explanation:
Question 7:
Using Pythagoras theorem:
y = sqrt(12^2 - 8^2)
y = sqrt(80)
y = 4 sqrt(5)
Question 8:
A = Area rectangle + Area circle
A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2
A = 10.56 + 9.68 pi
A = 41.0
Simplify the complex number √-16+8.
Answer:
[tex]\sqrt{-16} +8[/tex]
[tex]=4i+8[/tex]
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Round 31.908 to the nearest tenth.
Answer:
31.9
Your answer is 31.9.
it's nice helping uhh.
Answer:
31.9
Step-by-step explanation:
To round it to the nearest tenth, look at the hundredths place. Since it is 0, we cannot round up and therefore, the final answer is 31.9.
The mean age of 5 women in an office is 35 years old.
The mean age of 5 men in an office is 24 years old.
What is the mean age (nearest year) of all the people in the office?
Answer:
29.5
Step-by-step explanation:
(5×35)+(5×24)/10
175+120/10
295/10
=29.5
show on a cartesian plane the region represented by y + 2x =5
Step-by-step explanation:
here's the answer to your question
Jack painted 5 8 part of a wall and Sam painted 7 12 part of another wall of the same size. Who painted a larger part of the wall?
Answer:
Jack
Step-by-step explanation:
convert the fractions to decimals to determine the person that painted the larger part of the wall
5/8 = 0.625
7/12 = 0.583
the fraction Jack painted is larger.
find the area of the following composite figure
A commercial real estate developer creates a scale drawing of a commercial property that he
hopes to sell. The ratio of the area of the drawing to the actual area of the commercial property
is 1 ft? : 900 ft. The developer hopes to sell the commercial space for $1,800,000, which
would be equivalent to $1000 per 1 square foot (ft?) of the property's area. To the nearest
square foot, what is the area of the scale drawing?
Find the area of the actual property by diving the sale price by the price per square foot:
1,800,000 / 1,000 = 1,800 square feet
Divide actual are by the scale:
1800 / 900 = 2
The scale drawing is 2 square inches.
The area of the square draw will be 2 square inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The scale factor is a way to compare figures with similar appearances but differing scales or measurements. Consider two circles that resemble one another but may have different radii.
Given that area is 900 ft. the developer hopes to sell the commercial space for $1,800,000, which would be equivalent to $1000 per 1 square foot (ft?) of the property's area.
The area of the actual property by diving the sale price by the price per square foot:
1,800,000 / 1,000 = 1,800 square feet
Divide actual are by the scale:
1800 / 900 = 2
Therefore, the area of the square draw will be 2 square inches.
To know more about an area follow
https://brainly.com/question/21459067
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please someone answer! i need it rn!
Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?
Answer:
Leo's weight at the end of the fourth week = 181.7 pounds
Step-by-step explanation:
Leo's initial weight = 190 pounds
First week = lost 4.3 pounds
New weight = 190 pounds - 4.3 pounds
= 185.7 pounds
Second week = lost 2.8 pounds
New weight = 185.7 pounds - 2.8 pounds
= 182.9 Pounds
Third week = gained 0.7 pounds
New weight = 182.9 pounds + 0.7 pounds
= 183.6 pounds
Fourth week = lost 1.9 pounds
New weight = 183.6 pounds - 1.9 pounds
= 181.7 pounds
Leo's weight at the end of the fourth week = 181.7 pounds
Alternatively
New weight = initial weight - first week - second week + third week - fourth week
= 190 - 4.3 - 2.8 + 0.7 - 1.9
= 181.7 pounds
