Answer: [tex]\$100[/tex]
Step-by-step explanation:
Given
T-shirt cost 5 times as much as a singlet
Suppose the price of a singlet [tex]x[/tex]
Price of a T-shirt is [tex]5x[/tex]
According to the question, for $800, trader can buy 32 more singlet than T-shirt
[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]
Thus, the price of a T-shirt is [tex]5x=\$100[/tex]
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
The formula for finding the area of a pentagon(regular) given 1 side is
A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]
s (the side) = 12
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]
Area = sqrt(5(5 + 2*2.2361) * 36
Area = sqrt(5( 5 + 4.4721)) * 36
Area = sqrt(5*9.4721) * 36
Area = sqrt(47.3606) * 36
Area = 6.882 * 36
Area = 247.7485
The area of the circle = pi r*2 but we don't have r.
If you know any trig, the formula for the radius of the circle is
R = s/(2*sin(180)/n) n = 5 because you are using a 5 sided figure.
R = 12/(2*sin(180/5)
R = 12/2* sin(36)
R = 6 / sin(36)
R = 10.207
So the area of the circle is pi * R^2
Area = 3.14 * 10.2078^2
Area = 327.1854
The area of the shaded part is the difference between the 2 areas we found
Answer: 327.1854 - 247.7485
Answer: 79.44
integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]
please mark this answer as brainlist
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer: will be A
Step-by-step explanation:
When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m
Answer:
B .62.5 m
Step-by-step explanation:
convert Kmh-1 in to ms-1
30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1
60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1
acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2
V^2 = U^2 +2aS
(16.6)^2 = (8.3)^2 + 2×1.66 ×S
S = 62.5 m
Find the value of x for which (4/5)-4 X(4/5)-7 = (4/5)2x-1
Answer:
0.8 -4*0.8-7=0.8*2x-1
0.8-3.2-7=1.6x-1
0.8-10.2+1=1.6x
1.8-10.2=x1.6
-8.4=x 1.6
x= -8.4 / 1.6
x= - 5.25
provisions for 630 men to last for 25 days. How many men must be transferred to another camp so that the food lasts for 30 days?
Answer:
105
Step-by-step explanation:
25 days = Food for 630 men
30 days = x (Inverse variation)
30 * x = 630 * 25
x = 630 * 25/30
= 21 * 25
= 525 men.
630 - 525 = 105 men.
Therefore, 105 men must be transferred to another camp so that the food lasts for 30 days.
Simplify: squrt 18x⁷
Answer:
3x^3 ⋅ √2x
Step-by-step explanation:
please answer algebra question I put it into a calculator and it didn’t work 4x-5=4(x-2)+3
Answer:
solving for X it would be (-infinity ♾️, +infinity ♾️) or all real numbers
convert six yard to feet
Answer:
18 feet
Step-by-step explanation:
To convert : multiply the length value by 3
=> 6 x 3
=> 18 feet
I will be marking brainliest please help me with these questions.
Answer/Step-by-step explanation:
1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:
Area of shaded region = area of triangle - area of rectangle
Area of shaded region = ½*base*height - length*width
1. a. Volume of triangular prism = area of triangular base * height of prism
Volume of triangular prism = ½bh * H
Where,
b = 6 m
h = 4 m
H = 8 m
Substitute
Volume of prism = ½*6*4*8
Volume of prism = 96 m³
b. Volume of sphere = ⁴/3πr³
Where,
r = 9 cm
Substitute
Volume = ⁴/3*π*9³
Volume = ⁴/3*π*729
Volume ≈ 3,053.6 cm³ (nearest tenth)
2. Use Pythagorean theorem to find the height of the cone
radius of the cone (r) = ½(16) = 8 cm
Slant height (l) = 11 cm
height (h) = ?
Using Pythagorean theorem, we have:
h = √(l² - r²)
Substitute
h = √(11² - 8²)
h = √(57)
h ≈ 7.5 cm (nearest tenth)
b. Volume of the cone = ⅓πr²h
where,
r = 8 cm
h = 7.5 cm
Volume = ⅓*π*8²*7.5
Volume = 502.7 cm³ (nearest tenth)
A regular square pyramid has a slant height of 5 in and a base area of 49 in2. Find the surface area of the pyramid. ------------------------------------------------------------------------------------------- 171.5 square inches 70 square inches 119 square inches 245 square inches
Answer:
C: 119 square inches
Step-by-step explanation:
We are given;
Slant height; L = 5 in
Base area; B = 49 in²
Since it's a square pyramid, the base portion has a square shape.
Thus, area of base = x²
Where x is a side of the square.
Thus;
x² = 49
x = √49
x = 7
Perimeter of base = 7 × 4 = 28 in
Area of pyramid = ½PL + B
Plugging in the relevant values;
Area of pyramid = (½ × 28 × 5) + 49
Area of pyramid = 119 in²
Find the surface area of the composite figure
Answer: SA = 644 cm²
Step-by-step explanation:
STEP ONE: Find the surface area of the smaller rectangle (green)
There are in total 5 sides because one of the sides is not shown on the surface level.
Upper base = 3 × 3 = 9 cm²
4 sides = 3 × 8 × 4 = 96 cm²
Total = 9 + 96 = 105 cm²
STEP TWO: Find the surface area of the larger rectangle (orange)
There are in total 5 whole sides with one side covered by the base of the smaller rectangle (green) which should later be subtracted.
Front and back = 7 × 10 × 2 = 140 cm²
Left and right = 7 × 12 × 2 = 168 cm²
Lower base = 10 × 12 = 120 cm²
Upper base = 10 × 12 - 3 × 3 = 111 cm²
Total = 140 + 168 + 120 + 111 = 539 cm²
STEP THREE: Find the total surface area
SA = Green + Orange = 105 + 539 = 644 cm²
Hope this helps!! :)
Please let me know if you have any questions
Can u help solve this
Answer:
Sure:)! the answer is-487.5
Step-by-step explanation:
1.3x3xr^31.3x3=3.93.9r^3r=55x5x5=1253.9x125=487.5As said in the problem pie=3 as determined in the problem. Hence, the answer is 487.5
Hope this helps :)!
Step-by-step explanation:
[tex]volume = \frac{4}{3} \pi \: {r}^{3} \\ = here\pi = 3 \\ then \: v = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]
m. Proportions
1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?
Answer:
height of tree is 27 ft
Step-by-step explanation:
The corresponding parts of the problem are in proportion
let h be the height of the tree , then
[tex]\frac{6}{h}[/tex] = [tex]\frac{7}{31.5}[/tex] ( cross- multiply )
7h = 189 ( divide both sides by 7 )
h = 27
Height of tree is 27 feet
Simplify -52 + 8|-1| + (-3).
Does the point (2, 6) lie on the circle shown? Explain.
O Yes, the distance from (3, 0) to (0, ) is 3 units.
O Yes, the distance from (0, 0) to (2, V6) is 3 units.
O No, the distance from (3, 0) to (2, 6) is not 3 units.
O No, the distance from (0, 0) to (2, 6) is not 3 units.
Answer:
A.
Step-by-step explanation:
the square root of 6 is roughly 1.57
so that means the ordered pair would read (2,1.57).
if you were to plot that point it would be on the circle.
Also the distance from the origin (0,0) to (3,0) is 3 units
We will see that the correct option is:
"No, the distance from (0, 0) to (2, 6) is not 3 units."
Does (2, 6) lie on the circle shown?
We know that the circle has a radius of 3 units, then we need to see if the distance between (0, 0) and (2, 6) is 3 units.
Here we have:
[tex]D = \sqrt{(6 - 0)^2 + (2 - 0)^2} = \sqrt{36 + 4} = \sqrt{40} \neq 3[/tex]
So the distance between (0, 0) and (2, 6) is different than 3 units, meaning that the point is not in the circle.
If you want to learn more about circles:
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HELP QUICK ILL GIVE BRAINLIEST
Answer:
here's the answer to your question
Answer: √18
√(4-1)^2 + (5-2)^2
√9 + 9
√18
Answered by Gauthmath must click thanks and mark brainliest
HELP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169
Solve algebraically, b^2= 144, so b=12, which is the height.
Part B
Determine the surface area of each cardboard piece, and add together.
20 × 13 × 2 = 520
1/2 × 10 × 12 × 2 = 120
20 × 10 = 200
So approximately 840 cm of cardboard was used
complete the square x^2+45=-14x
On the coordinate plane, point P is located at (3, y) and point Q is located at (1, -4). The distance between
points P and Q is 29 units.
What are the two possible values of y?
Answer:
y = 23, -31
Step-by-step explanation
ttyl
which of the following data sets could most likely be normally distributed
a. yearly income for California residents
b. total points scored by a basketball team the whole season
c. daily temperature high for winter in 25 US cities
d. blood pressure
I met this hella weird cryptic dude who interviewed me and gave me this puzzle. Solve it within 12 hours and ill let you know what he says. Row zero (0) must be solved.
Your final code should contain nine (9) letters, and one (1) number. The number two (2) has been given to you as the first character in your final code.
Disclaimer: This code is foreign, meaning it is not a word or sentence from any language. It is a string of specific characters. You will be given a second, simpler cipher to decrypt that reads "graph." It has already been solved for you. Understanding how this smaller chart produces "graph" will grant you the deciphering method used for the large cipher.
This cipher must be completed at maximum twenty-four (24) hours from reception. Failure to complete in this time will result in re-calibration via interviewing, not disqualification, should you (as a participant) wish to continue.
To validate this code, or request further clarification, refer to this account.
Speaking to any personnel regarding the cipher without supervision is strictly prohibited, and will result in disqualification.
HINTS:
"^," or Carrots, signify a capitalized letter in the string. Capitalization matters.
Everything you need to complete this cipher is given here.
Only very basic math was used to encrypt this key (Multiplication and Division).
You are not allowed to ask others for help without the supervision of the employment center. We will know if you've leaked, or gave any information out regarding this Cipher. We are entrusting you with it.
Best of luck
no cheating thanks <3
I need help please slope
Answer:
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 where y2 and x2 are the x and y coordinates from a coordinate pair and y1 and x1 are the coordinates from another coordinate pair. In this case, 2 coordinate pairs are given: (30,75) and (10, 35) 75-35/30-10 would be your slope, or, 40/20, or simplified, 2.
Your slope is 2
in what interval is the function f(x)=squareroot x^2+5x+4 defined
9514 1404 393
Answer:
(-∞, -4] U [-1, ∞)
Step-by-step explanation:
The quadratic expression factors as ...
x^2 +5x +4 = (x +4)(x +1)
The zeros of this expression are where these factors are zero, at x=-4 and x=-1. The product is negative when one factor is negative and the other is positive, in the region -4 < x < -1. It is non-negative elsewhere. f(x) is defined where the quadratic is not negative, on the union of intervals ...
(-∞, -4] U [-1, ∞)
Answer:
-4 <= x >= -1
Step-by-step explanation:
Find where x^2+5x+4 < 0, negative sq roots are imagingary numbers.
So factor
(x + 4) (x + 1) = 0
x = -4 and x = -1
so x must be <= -4 or x >= -1
the interval is
-4 <= x >= -1
if u can help be fast please
A) 5 sides = 72.00
interior =108.00
B) 9 sides = 40.00
interior = 140.00
C) 15 sides = 24.00
interior = 156.00
D) 19 sides = 18.95
interior = 161.05
These are exterior angles right? y'know what I'll just put both
Find the area of the shaded regions:
Answer:
18[tex]\pi[/tex]
[tex]\frac{80}{360} * 81 \pi[/tex]
Step-by-step explanation:
f(x) = (x - 5) (2x - 7) (7x - 3) has zeros at x = -3.5, x = 3/7, and x = 5.
what is the sign of f on the interval 3/7 < x < 5 ?
1. f is always positive on the interval.
2. f is always negative on the interval.
3. f is sometimes positive and sometimes negative on the interval.
The function f(x) will be sometimes positive and sometimes negative on the interval so option (3) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other terms, a function is a relationship between variables, and the type of relationship that exists between the variables defines the function, such as y = sinx and y = x +6.
Given function is
f(x) = (x - 5) (2x - 7) (7x - 3)
The term (x - 5) will be negative if x < 5.
The term (2x - 7) will be negative if x<3.5
Let's say if x = 4 then (x - 5) will be negative but (2x - 7) will be positive and hence overall value will be negative.
But if x = 3 then (x - 5) will be negative and (2x - 7) will also be negative and hence overall value will be negative
Hence the function f is sometimes positive and sometimes negative on the interval.
For more about the function
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Answer:
always negative the other guy was wrong because when you wrote 2x - 7 you meant 2x + 7 I know this because it’s on Khan Academy
Step-by-step explanation:
5x2y and 7xy2 are like terms.
True
False
Answer: False
The variable portions x^2y and xy^2 are slightly different, so that's why we don't have like terms here.
Answer:
False
Step-by-step explanation:
Like terms are those terms where they have the same variable
so here
5x2y variables are = 5x and 2y
7xy2 variables are = 7x and y2
you can observe that x variable is same but y variable is not same as 5x3y have 2y whereas 7xy2 have y2#
so the answer is FALSE
HELP ILL GIVE U BRAINLIEST
Answer:
-6 33/40
Step-by-step explanation:
[tex]2\frac{5}{8} = 2.625\\-2\frac{3}{5} = 2.6\\\\2.625 *-2.6 = -6.825\\\\-6.825 = -6\frac{33}{40}[/tex]
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand? (7, 0) and (3, 0) (–6, 3) and (2, 3) (6, 3) (2, 3)
Answer:
(2, 3)
Step-by-step explanation:
Answer:
It is (2,3)
Step-by-step explanation:
