Answer:
(a) 33.7 cm
(b) 79.25 cm²
Step-by-step explanation:
(a)
Find the perimeter of the semicircle (circumference ÷ 2).
10 cm is the diameter of the semicircle.
The perimeter of the semicircle
= (10 × 3.14) ÷ 2
= 31.4 ÷ 2
= 15.7 cm
The perimeter of the shape
= 15.7 + 10 + 4 + 4
= 33.7 cm
(b)
Find the area of the circle then divide to 2
The formula of the area of a circle
= πr²
The radius of the circle
= 10 ÷ 2
= 5 cm
The area of the semicircle
= (3.14 × 5²) ÷ 2
= 78.5 ÷ 2
= 39.25 cm²
The area of the rectangle
= 4 × 10
= 40 cm²
The area of the shape
= 39.25 + 40
= 79.25 cm²
What is the area of the triangle?
4
2
_____units2
Answer:
4
Step-by-step explanation:
Answer:
Yup it’s 4
Step-by-step explanation:
help me!! pls math question
Answer:
a) 33
Step-by-step explanation:
triangle inequality theorem
- the sum of any two sides of a triangle must be greater than the third
Image point B'(4, -8) was transformed using the translation ( x - 2, y + 3). What were the coordinates of B?
(6, -11)
(2, -5)
(2, -11)
(6, -5)
Answer:
(6, -11)
Step-by-step explanation:
In this problem, you are given the image and you need to find the pre-image. To do this work backward and do the opposite of the translation. So, to find the pre-image solve [tex](x+2, y-3)[/tex]. Once you plug in the points you get [tex](6,-11)[/tex] which must be the original point.
Answer:
(6, -11)
Step-by-step explanation:
Find each product of the equation. I need help please
Answer:
1. 15x-10
2. x²-x-12
3. x²-8x+12
4. 2x³+4x²-30x
5. 6x³- 12x²+6x
6. 4x³+12x²-20x
Step-by-step explanation:
4.2x(x+5)(x-3)
= 2x(x²-3x+5x-15)
= 2x(x²+2x-15)
= 2x³+4x²-30x
Carl has a new job making $8.25 an hour. He worked 16.75 hours last week. He also
had deductions of 6.25% for Social Security and 1.45% for unemployment insurance.
What was Carl's net pay last week (the amount after deductions)?
Answer:
Step-by-step explanation:
Earnings = 16.75 hours × $8.25/hour = $138.1875
Deductions = 6.5% + 1.45% = 7.95%
net = 92.05% of $138.1875 ≈ $127.20
In a rhombus, an altitude from a vertex of an obtuse angle bisects to opposite side. Find het measures of the angles of the rhombus.
Answer:
The angles are : 30° , 90° , 60° and 120°
Step-by-step explanation:
In a rhombus the obtuse angles measure up to 120° while the acute angles measure up to 60°
In other to find the net measure of the angles
we will draw altitude from the vertex to form a right angled triangle and it will as well bisect the opposite side.
let the base of the right angled triangle ( opposite the obtuse angle ) = 1/2 x
side( hypothenuse ) of rhombus = x
sine = opposite / hypothenuse
hence sine x = 1/2 x / x
∴ sin x = 1/2
therefore to determine the value of x
sin^-1 ( x ) = sin^-1 ( 1/2 )
hence ; x = 30
given that the sum of the angles in a triangle = 180 . hence the third angle ( the acute angle ) = 180 - 90 - 30 = 60°
Given that the acute angle and the obtuse angle of a rhombus is supplementary
hence the value of the obtuse angle = 180° - 60° = 120°
How do you do this?
Answer:
78 degrees
Step-by-step explanation:
We know that these triangles are congruent
Angle N is the same as angle W since the triangles are congruent
Angle N = 78 degrees
Therefor angle W = 78 degrees
Padma makes two investments of $700 each for a term of 1 year, where investment A is linear and will increase at a constant rate of change, while investment B is exponential will increase by a common ratio.
Answer:
See the explanation below
Step-by-step explanation:
Given data
Amount invested= $700
Time = 1 year
Say the percent increase for both investments is
The representation of the linear investment A is given by the linear function
y=mx+c
here m= the percent increase
x= the time taken and
c= the invested amount
By linear increase, any increment in x that is the time will lead to a corresponding increase in the y value which is the final amount
The representation of the exponential investment A is given by the linear function
y=ab^x
here a= the invested amount
b= the rate
x= the time
By exponential increase, any increment in x that is the time will lead to a "non-compliant"/ non-corresponding increase in the y value which is the final amount
Mrs.Ramirez worked with her personal trainer to help develop a nutrition plan. The circle graph shows the recommended percentages for her daily intake. If she will start week 1 eating 1,800 calories, then how many should be from proteins?
Daily food intake:
Fruit: %15
Grains: %15
Protein: %35
Dairy: %10
Vegetables: %25
Answer choices:
A.450
B.350
C.630
D.270
(Please help!)
Answer:
C
Step-by-step explanation:
[tex]\frac{35}{100}*1800\\35*18\\[/tex]
630
The portion of protein will be 630.
What is pie chart?The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.
Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,
Here the portion of protein = 35%
So,
35 / 100 × 1800 = 630
Hence the portion of protein will be 630.
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Ángulo mayor a 0 y menor a 45
Answer:
Ángulo agudo
Es cualquier ángulo que mida más de 0 grados pero menos de 90 grados. Un ángulo agudo cae en algún lugar entre inexistente y un ángulo recto.
Acute angle
It's any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle.
the model represents the equation - 3 =10. Which is the value of x in the equation x - 3 = 10?
Answer: C
Step-by-step explanation:
13-3=10
Find the sum of the first 24 terms in the following arithmetic
series:
9+13+17+21+..
Answer:
1212
Step-by-step explanation:
can someone help (will give brainliest)
Answer:
384
Step-by-step explanation:
8 x 6 = 48
48 x 2 = 96
12 x 10 = 120
6 x 12 = 72
8 x 12 = 96
96 + 120 + 72 +96 = 384
Answer:
Step-by-step explanation:
Remark
Surface area for this = Top + bottom + left side + 2 triangles.
The hypotenuse of the triangle can be found by the Pythagorean Theorem.
a^2 + b^2 = c^2
a = 6
b = 8
c = ?
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
sqrt(c^2) = sqrt(100)
c = 10
Top
Top = Length * Width
Top = 12 * hypotenuse
Top = 12 * 10
Top = 120
Left side = L*W
L = 12
W = 6
Area = 6 * 12
Area = 72
Two triangles
Two Triangles = 2* (1/2) * 6 * 8 = 48
Base
W = 8
L = 12
Area = L*W
Area = 8 * 12 96
Total area = 96 + 48 + 72+120 = 336
3(x-4)+3=9
Who Can do this Linear equation
Answer:
x=6
Step-by-step explanation:
i used an app called math-way hope this helps.
Answer:
x = 6
Step-by-step explanation:
3(x-4) + 3 = 9
3x - 12 + 3 = 9
3x - 9 = 9
3x = 9 + 9
3x = 18
x = 6
PLEASE HELP AND SHOW WORK PLS QUICK
Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.
(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.
(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.
Step-by-step explanation:
This is an altitude hypotenuse problem.
Answer:
a) (100-x)/86.6 or x/50
b) 10,000 (86.6^2 + 50^2)
Step-by-step explanation:
To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle
So if you use the small triangle you use the angle of 60 degrees
You have your hypotenuse and you need to find your adjacent
So use cos(60)=x/50
Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6
for b, use (100-x)^2 = 86.6^2 + 50^2
50^2 = x^2 + 43.3^2
What inequality does the number line graph represent?
Answer:
3
°•°°•••°°•••••••••°•○○○●••
All of the following are true of betas and correlation coefficients EXCEPT: Group of answer choices Both betas and correlation coefficients can tell you something about the strength of a relationship. Betas describe the relationship between two variables exactly as correlations coefficients do. Betas from an analysis can be compared with other beta coefficients from the same analysis just as correlation coefficients can. Both betas and correlation coefficients can tell you something about the direction of a relationship.
Answer:
yes look at the eslotp uudh
Both betas and correlation coefficients can tell you something about the direction of a relationship. The corect option is D.
What is coorelation coefficient?The coefficient of variation is a ratio which is used to show the level dispersion of values or treatments around the mean of a set of values.
The coefficient of variation is the ratio of the standard deviation to the mean of a set of numbers or treatments. The higher the coefficient of variation the higher the dispersion from the mean.
The coefficient of variation is the best measure of risk for an isolated single asset. Beta is the a measure of how volatile a particular stock is compared to the market.
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Helpppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
the answer is A
Step-by-step explanation:
A is the answer my dear
Wendy manages a warehouse. At the end of the year, she decides that she will hire at least 8 new full-time employees. Including benefits, dock workers earn $25,000 per year while forklift operators earn $40,000. She estimates that she can spend a maximum of $250,000 on new employees. The following system of equations is graphed below.
with these restrictions how many different combinations of dock workers and forklift operators can Wendy hire?
9514 1404 393
Answer:
7
Step-by-step explanation:
There are 7 grid intersection points in the feasible region. They are ...
(dock workers, forklift operators) = (x, y) = ...
(8, 0), (9, 0), (10, 0), (7, 1), (8, 1), (6, 2), (5, 3)
Wendy can hire 7 different combinations of workers.
What is 9/20 minuets 5/20
Answer:
I'm confused on what you're trying to ask
Answer:
[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].
Step-by-step explanation:
When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].
Please help!! : ))))
Answer:
D. The mean will increase and the median will remain the same
Step-by-step explanation:
First I’d order them from smallest to largest in the data set:
3, 5, 6, 6, 7, 11
The median here is 6.
Then the mean would be 6.33
Then it says if 3 is removed:
5, 6, 6, 7, 11
So we would know the median is 6
The mean here would be 7
So we can see the mean increases but the median stays the same, therefore the answer is D
Find the slope please
Which of the following is a true statement based on the graph shown ?
Answer: I feel like it's the last one
Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry
can someone help me i need to find the value of x that will make a||b
X= 54
hope it helps
The salary of college professors from more than 25,000 universities and colleges in USA is normally distributed with a mean, $85,900 and its standard deviation, $11,000. If you collect a random sample from 35 professors, find the probability that the sample mean is between $70,000 and $100,000?
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Therefore given that μ = $85900, σ = $11000, n = 35.
For x > 70000:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]
For x < 100000
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]
From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%
3. Robin drove 80 miles in 1.6 hours.
At what rate was Robin driving?
A 80 miles per hour
B 70 miles per hour
C 65 miles per hour
D 50 miles per hour
Answer quick plzzz no website
Answer:
The answer is 50 miles per hours.
6.
Which expression is equivalent to
4x +3 - 3x + (-2)?SHOW WORK
Answer:
x + 1
Step-by-step explanation:
no way number three?!
Pls help me!!! And thank youuuuu
ack can someone help?
Answer:
2.8
Step-by-step explanation:
hypotonus is the longest edge of any triangle;
here the tallest edge equals the root of 8
the root of 8 = 2.83