Answer:
33=k-15
Step-by-step explanation:
I hope this helps:)
Which expression is equivalent to 3^-1⋅3^0?
A) 1/3
B) 1/9
C) 9
D) 3
Solve for x. Answer as a whole number.
Given:
In triangle ABC, AE is the angle bisector.
[tex]AB=4, BE=2, AC=x, CE=3[/tex]
To find:
The value of x.
Solution:
According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.
Using the angle bisector theorem, we get
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]
[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]4\times 3=2\times x[/tex]
[tex]12=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{12}{2}=x[/tex]
[tex]6=x[/tex]
Therefore, the value of x is 6.
Marcia used 1 1 3 yards of fabric to make 2 3 of a costume. How many yards of fabric will she need to make five costumes?
Help? It says find the surface area of the triangular prism, and the base is an isosceles triangle
Given:
The figure and dimensions of the triangular prism.
The base is an isosceles triangle
To find:
The area of the triangular prism.
Solution:
The area of a triangle is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
The base of the triangle is 24 cm and the height is 35 cm. So, the area of a triangular base (in sq. cm) is:
[tex]A_1=\dfrac{1}{2}\times 24\times 35[/tex]
[tex]A_1=12\times 35[/tex]
[tex]A_1=420[/tex]
The bases of the triangular prism are same. So, the area of the other triangular base is [tex]A_2=420[/tex] sq. cm.
The sides of the base triangle are 37 cm, 37 cm and 24 cm. So, the perimeter of the base triangle is:
[tex]P=37+37+24[/tex]
[tex]P=98[/tex]
Now, the curved surface area of the prism is:
[tex]A_3=P\times h[/tex]
Where, P is the base perimeter and h is the height of the prism.
The base perimeter of the triangular prism is 98 cm and the height is 48 cm. So, the curved surface area is:
[tex]A_3=98\times 48[/tex]
[tex]A_3=4704[/tex]
Now, the total area of the triangular prism is:
[tex]A=A_1+A_2+A_3[/tex]
[tex]A=420+420+4704[/tex]
[tex]A=5544[/tex]
Therefore, the area of the given triangular prism is 5544 sq. cm.
Last year, an organization spent $500 on food for an event 100 people attende
This year, they plan for 120 people to attend the event. Food costs the same per
person as it did last year. From last year to this year, what is the percent change in
the money the organization spends on food? Show your work.
Which measurement can be used to describe the size of an angle
Answer:
Step-by-step explanation:
degrees
Solve for x, given: x2−4x+29=0
Answer:
X= 5i-2, x=5i-2
Step-by-step explanation:
Step-by-step explanation:
[tex] {x}^{2} - 4x + 29 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{4± \sqrt{ - 100} }{2} \\ x = \frac{4±10i}{2} \\ x = 2±5i \\ x = 2 + 5i \: \: or \: \: x = 2 - 5i[/tex]
It rained 4.2 inches in 12 hours. At this rate,
how much will it rain in 27 hours?
Answer:
9.45 inches
Step-by-step explanation:
We should make a proportion for this one.
4.2/12=x/27
Now we cross multiply.
12x=113.4
Now we divide both sides by 12.
x=113.4/12
We solve 113.4/12.
x=9.45 inches
Help I will give crown and brainiest
Answer:
quad then hex then oct then non
Step-by-step explanation:
The diameter of a cylinder is 1 yd. The height is 8 yd. What is the first step to finding the volume of the cylinder? Find the volume of the cylinder.
What is the first step to finding the volume of the cylinder?
A.
Find the product of the diameter and the height.
B.
Use the diameter to find the area of the cylinder.
C.
Find the sum of the diameter and the height.
D.
Use the diameter to find the radius of the cylinder.
Answer:
D
Step-by-step explanation:
you find the radius by using the diameter
hence radius = diameter divide by 2 which is 1÷2 which is 0.5
next step the volume of the cylinder is πr^ 2h
22÷7 × 0.5×0.5×8 gives you 6.2857 to 5 significant number
The volume of the cylinder will be 6.28 square yards.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
The diameter of a cylinder is 1 yd.
The height is 8 yd.
Then the volume of the cylinder will be
Volume = (π / 4)d² h
Volume = (π / 4) x 1² x 8
Volume = (π / 4) x 8
Volume = 2π
Volume = 6.28 square yards
More about the cylinder link is given below.
https://brainly.com/question/3692256
#SPJ2
Could u help me with these 3 questions? Ill mark brainly if its correct. :)
Please help me with this homework
Answer: The answer is 226.2
Step-by-step explanation: I got the answer from this website, its basically a volume calculator for any shape. https://www.omnicalculator.com/math/cylinder-volume
What are the terms in the expression 5y - 1 + 7?
꧁Hello, how are you?꧂
[tex]5y - 1 + 7 \\ + (7 - 1) \\ 6 \\ 5y + 6[/tex]
━━━━━ • ஜ • ❈ • ஜ • ━━━━━
Signed: Lohany Queen of hell 彡★
━━━━━ • ஜ • ❈ • ஜ • ━━━━━
Which is equivalent to x³y‐⁷
Answer:
the answer is second option
All else being equal, a study with which margin of error would give you the most confidence in the results?
Answer: +2 percentage point
Step-by-step explanation:
The sum of three numbers is 85. The third number is 7 more than the first. The second number is 2 times the third. What are the numbers?
Answer:
16, 46, 23
Step-by-step explanation:
let the first number be x , then the third number is x + 7 and the second is
2(x + 7) = 2x + 14
Sum the numbers and equate to 85
x + 2x + 14 + x + 7 = 85
4x + 21 = 85 ( subtract 21 from both sides )
4x = 64 ( divide both sides by 4 )
x = 16
x + 7 = 16 + 7 = 23
2(x + 7) = 2(16 + 7) = 2(23) = 46
The numbers are 16, 46, 23
You roll a six-sided die. What is the probability that it is an odd number or less than four? Round your answer to the nearest thousandth.
Answer:
Probability is calculated as # of favorable outcomes / # of possible outcomes.
Our favorable outcomes are 1, 2, 3, 4, 5.
There are 6 total outcomes.
5/6 = 0.833
Answer:
.667
Step-by-step explanation:
There are 3 possibilities for an odd number. 1,3 and 5
For a number less than four, there are also 3 possibilities, 1,2 and 3 (Since it's not four or less)
Counting the uniquue numbers which are not repeated, you have 1,2,3,5 so the odds are 4/6 of rolling an odd or less than four number.
Since it's asking to round, I assume we need to convert to a decimal.
Decimal: .667
Percentage: 66.667%
Both answers are rounded to the thousandth.
Jacque estimates the square root of 125 in the following way:
√125=5√25=5∙5=25
Explain why his reasoning is incorrect.
Approximate the square root of 125 using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.
Note: Please review 5.05 if you need a place to start.
Answer:
Answer:
5Step-by-step explanation:
√125/5 = √25 since 125/5 = 25√25 = 5Hopes this helps. Mark as brainlest plz!⚠️⚠️⚠️⚠️help ⚠️⚠️⚠️⚠️Find the area of the shaded region inside the square, but outside the circle. Both the square and the circle are 10 cm wide.
Answer:
21cm^2
Step-by-step explanation:
Shaded area=square area- area of circle
Square area=10x10=100
Area of circle=pi r^2
d=2r=10
r=5
Area of circle =5^2pi=25pi=78.54≈79
Shaded area=100-79=21cm^2
Answer:
25
Step-by-step explanation:
the population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less than 12,000?
a. 2
b. 3
c. 4
d. 5
Find the measure of arc BC
Answer:
100°
Step-by-step explanation:
is 25% of the circle
Answer:
BC = 100°
Step-by-step explanation:
The chord- chord angle BDC is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] ( BC + AE) = 85° ( multiply both sides by 2 to clear the fraction )
BC + AE = 170°
BC + 70° = 170° ( subtract 70° from both sides )
BC = 100°
Given that y = 9x + 2, what is the slope?
A. 2 B.x C. 9 D.11
Answer:
c.9
Step-by-step explanation:
A 20 foot ladder liens against a building and must just reach a window that is 8 feet of the level ground the latter will be unstable if the base is more than 15 feet from the bottom of the building will the ladder be unstable
Answer:
the ladder will be unstable because it is 18.33ft from the bottom of the building
Use this calculator for problems like this
https://www.calculator.net/triangle-calculator.html
The length of the base is 18.33 feet greater than 15 feet then the ladder will be unstable.
What is a Pythagorean theorem?Pythagorean theorem states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.
Given that a 20-foot ladder is placed against a building and must just reach a window that is 8 feet of the level ground the latter will be unstable if the base is more than 15 feet from the bottom of the building.
Calculate the base of the triangle by using the Pythagorean theorem:-
H² = P² + B²
B² = H² - P²
B² = 20² - 8²
B = √( 400 - 64 )
B = √336 = 18.33 feet
Therefore, the length of the base is 18.33 feet greater than 15 feet then the ladder will be unstable.
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
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A city is planning to build a new art museum. One of the building plans they are considering is shown below. The building is a right circular cylinder with four floors. Each floor is parallel to the base of the building. The base of the building has a diameter of 80 feet, and each floor is 25 feet tall. What is the total floor area of the building in this plan in square feet
Answer:
200
Step-by-step explanation:
i did the math
7 out of 11 students ride the bus home after school. What is the decimal equivalent for the
number of bus riders?
Answer:
0.64
Step-by-step explanation:
7/11=0.63
0.63~~0.64
Please help me!
The base of a rectangular prism has dimensions measuring 8 feet by 17 feet. If the volume of the prism is 1,632 cubic feet, find the height of the prism.
Answer:
Step-by-step explanation:
how soon do you need the answer
A pentagon will be dilated on a coordinate grid to create a larger pentagon. The pentagon is dilated using the origin as the center of dilation. Which rule could represent this dilation?
(x, y)→(3 - x, 3 - y)
(x, y)→( x, y)
(x, y)→(x + 4, y + 4)
(x, y)→(0.7x, 0.7y)
Answer:A
Step-by-step explanation:
how do i type that as a math sentence “ the product of ten and a number of y less than 150” y = 10
Answer:
10*y>150 = 10
Hope this helps you
Please mark as brainliest
Thank You
Answer:
10 x y < 150
product = multiplication
less than means that the alligator has to eat the 150
However, if they give you y = 10, then plug it in
10 x (10) < 150
100 < 150
What is the exact value of CSC -60
(CSC = Cosecant)
Answer:
Solution given:
cosec 60=1/sin60=1/[√3/2]=2/√3 or ⅔√3
is this problem correct????????????????/
