A central angle has a measure of 1 radian if the length of the intercepted arc is the same as the length of the radius.
What is the measure of 1 radian?One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr, one revolution around a circle of radius r corresponds to an angle of 2π radians because of sr⇒2πrr=2π radians.
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Help me with this math problem please!
Answer:
1. 1.5 inches
2. 1 inch
3. 1.75 inches
4. 1.25 inches
5. 2 inches
Step-by-step explanation:
im guessing that you're asking what each place is.
Taryn is making a quilt using fabric in the shape of parallelograms that have side lengths of 12 cm and 4.5 cm as shown. She sews two right
triangles to either end of the parallelogram to make a rectangle. The length of OP is 2.5 cm.
What is the length of MN?
O A V2.5 cm
OB. 14 cm
OC 4.5 cm
OD 26.5 cm
OE 7 cm
Answer:
[tex]MN = \sqrt{14[/tex]
Step-by-step explanation:
Given
[tex]NO = 12[/tex]
[tex]OP = 2.5[/tex]
[tex]OQ = 4.5[/tex]
Required
Find MN
First, we calculate QP using Pythagoras theorem
[tex]OQ^2 = OP^2 + QP^2[/tex]
[tex]4.5^2 = 2.5^2 + QP^2[/tex]
[tex]20.25 = 6.25 + QP^2[/tex]
Collect like terms
[tex]QP^2 = 20.25 - 6.25[/tex]
[tex]QP^2 = 14[/tex]
Take square roots
[tex]QP = \sqrt{14[/tex]
To solve MN, we have:
[tex]MN = OP[/tex]
So:
[tex]MN = \sqrt{14[/tex]
Maria wants to plant a tulip garden in her backyard. She can plant
10 rows of tulips with 9 tulips in each row.
How many tulips can Maria plant in all?
Find the volume of this right rectangular
prism.
4 cm
4 cm
4 cm
[ ? ]cm3
Answer:
V = 64 cm^3
Step-by-step explanation:
Volume is length times width times height
V = l*w*h
V = 4*4*4
V = 64 cm^3
Answer:
64
Step-by-step explanation:
4x4x4=64
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Answer:
[tex]1017.9ft ^{3} [/tex]
Step-by-step explanation:
[tex]volume \: of \: cylinder \\ v = \pi \times r {}^{2} \times h \\ = \pi \times 9^2 \times 4 \\ = 1017.9[/tex]
pls help
In Miss McGee's homeroom, there are 5 blonds, 9 brunettes, 2 redheads, and 2 students with black hair. If Miss McGee chose a student at random, what is the probability that the student would be a red head
Answer:
2/18 or if needed simplified 1/9. count all the people you get 18 the red head is 2.
Answer:
2 out of 18
Step-by-step explanation:
5+2+2+9= 18 redheads = 2
Elena is feeding her neighbor's dogs. Each dog gets 2/3
cup of dog food, and she uses 3 1/3 cups of food. How many dogs does her neighbor have?
5 5/8 cups of water fill 4 1/2 identical water bottles. How many cups fill each bottle?
Answer:
5 dogs
1 1/4 cups per bottle
Step-by-step explanation:
10/3 ÷ 2/3 get solved by 10/3 x 3/2, which gives you 30/6 or 5
45/8 ÷ 9/2 is 45/8 x 2/9 which is 5/4 or 1 1/4
A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?
Answer:
-2
Step-by-step explanation:
Well since this line is parallel to y=3x-5 they must have the same slope
We are just solving for the y-intercept
We have a point (2,4) lets plug it into
y=3x+ b
4 = 3(2) +b
4= 6 +b
-2 = b
The value of b is -2
Answer:
B-value = -2
Step-by-step explanation:
In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.
Hope this helps!
Here is the diagram:
When multiplying fractions we don’t have to worry about finding (blank) why?
SOMEONE HELP PLEASEEEEEEEE
Answer:
a common denominator
Step-by-step explanation:
PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answer: Choice D
[tex]\frac{9\sqrt{2}}{2}[/tex]
=============================================
Explanation:
We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.
Solving for y gets us [tex]x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}[/tex]
In this case, y = 9 is the hypotenuse which then leads to choice D.
------------
Another way to find the answer is to use the pythagorean theorem
a = x and b = x are the two congruent legs
c = 9 is the hypotenuse
Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to [tex]x = \frac{9\sqrt{2}}{2}[/tex]
Solve
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Answer:
12 no .
x+2(4/5)=3(1/6)
x+5*2+4/5=6*3+1/6
x+14/5=19/6
5*x+14/5=19/6(do cross multiplication)
6(x+14)=19*5
6x+84=95
6x=95-84
x=11/6
Step-by-step explanation:
13 no
-0.4a+1.2=3.6
-0.4a=3.6-1.2
a=2.4/-0.4
a=-6
NEED ASAP URGENT
Which similarity statement expresses the relationship between the two triangles?
triagleZYX- triangleCAB
triangleZYX-triangleACB
triangleZYX-triangleCBA
triangleZYX - triangleABC
Given:
The figure of two triangles.
To find:
The similarity statement for the given triangles.
Solution:
The corresponding sides of similar triangles are proportional.
In the given triangles,
[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]
[tex]\dfrac{XY}{AB}=0.5[/tex]
Similarly,
[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]
[tex]\dfrac{YZ}{BC}=0.5[/tex]
And,
[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]
[tex]\dfrac{XZ}{AC}=0.5[/tex]
Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore
[tex]\Delta XYZ\sim \Delta ABC[/tex]
It can be written as:
[tex]\Delta ZYX\sim \Delta CBA[/tex]
Therefore, the correct option is A.
Arturo is making an appetizer for a dinner party. The recipe calls for 3 cloves of garlic for 7 servings. There are 50 people attending the dinner party, approximately how many cloves of garlic will Arturo need? (Round to the nearest whole number) *
Answer:
21.42 cloves of garlic
Step-by-step explanation:
50 ÷ 7 = 7.14
7.14 x 3 = 21.42
It was 7 °F outside. The temperature dropped 16º.
How cold did it get?
A. -23 °F
B. -16 °F
C. -9°F
D. 9°F
E. 23 °F
Stanley attempted to simplify the expression below.
−4●(2.5x−1.25)−3x
His work, step by step, is shown below.
Step 1: −4●{(2.5x+(−1.25)}−3x
Step 2:−10x+(−5)−3x
Step 3:−10x−3x+(−5)
Step 4: −13x−5
In which step did he make his first error simplifying the expression?
Find the value of x.
Answer:
16 = x
Step-by-step explanation:
A triangle has 180 degrees. Use this to solve for x
180=(9x-8)+(x+2)+(x+10)
180 = 9x + x + x - 8 + 2 +10
180 + 8 -2 - 10 = 11 x
176 = 11x
176/11 = x
16 = x
what is called intersection of two sets
Answer:
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).
Step-by-step explanation:
PLZZZZZZZZZZZZZ HELPPPPPPPPP
Answer:
Given, Distributive property, Subtraction Property, Division Property, Prove
Step-by-step explanation:
This is what I think the answer is. So if the answer is wrong than I don't know
help please with this question
Answer: 70ft
Step-by-step explanation:
ht= (-3)^2 + 15(3) + 16
ht= 9 + 45 + 16
ht= 70
Angle 1 and angle 2 are shown in the diagram below.
Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?
Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°
Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°
Answer:
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9/4x + 101.7 + 1 1/4x +25.8 = 180
Change the mixed number to an improper fraction
9/4x + 101.7 + 5/4x +25.8 = 180
Combine like terms
14/4x +127.5 = 180
Subtract 127.5 from each side
14/4x = 180-127.5
14/4x = 52.5
Multiply each side by 4/14 to isolate x
x =52.5 * 4/14
x = 15
Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45
Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55
A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck drive in an hour.
_______ miles in one hour
Answer:
About 64 Miles
Step-by-step explanation:
I think you just divide the miles by minutes which is about 1.06 then x 60 = 64
What is the product of -1.24 and 4.25?
A-5.27
B -3.01
C 3.01
D 5.49
Mr. Cota’s family bought 4 sandwiches and 3 salads. They spent $45.50. Write an equation that represents this situation. Let x be the cost of a sandwich and y be the cost of a salad.
Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?
Answer:
6/4
Step-by-step explanation:
Answer:
Exact Form:
3/2
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.
Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.
Choice B would work, as it follows the definition of a Compound Sentence.
Choice C wouldn't work, that would be a Complex Sentence
Choice D wouldn't, that would be a Simple Sentence.
Also, note that this question is something for the Language Arts section.
Answer:
B. A sentence that includes two independent clauses connected by a conjunction.
Step-by-step explanation:
Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).
Example would be:
Juan likes to hunt, and he is going hunting on Sunday.
"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.
"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.
The conjunction "and" is used, and a comma is correctly placed before "and."
The terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112.
a) Determine the value of the common ratio
b) Determine the value of X algebraically.
Answer:
a. 4
b. 5
Step-by-step explanation:
a. r = √(112/7) =√16 =4
b. 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5 and the common difference is;4.
What is a geometric sequence?There are three parameters which differentiate between which geometric sequence we're talking about.
The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
We are given that terms shown below are the first three terms of a geometric sequence whose common ratio is positive.
7, 4x+8, 112
Therefore, the common difference is;
r = √(112/7) =√16
r =4
Now, 4x+8 = 28
4x = 28-8
4x = 20
x= 5
The value of X algebraically is 5.
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A ski slope is 250 yards long with a vertical drop of 100 yards. Find the angle of depression of the
slope.
Step-by-step explanation:
would you still like me to help you with this question
Angle of depression of the slope is 24. degree.
Angle of depression is equal to the angle of elevation.
sine = the vertical drop/ the ski slope
sine = 100/250
= 2/5 = 0.4.
sine - 1 (0.4) = 23.57 which is about 24 degree.
Therefore, the correct angle of depression of the slope is approximately 24 degree.
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Solve 1/3(x-9)=2x+7
X=6
X=2
X=-6
X=-2
Answer:
x = -6
Step-by-step explanation:
1/3(x-9)=2x+7
1/3x - 3 = 2x + 7
-5/3x = 10
x = -6
Please help with this geometry question
Answer:
5894.82 ft^3
Step-by-step explanation:
We have to split the figure into two parts and then find the volume of both and add. The figure is split into a cylinder and hemisphere. The volume of the cylinder is 4823.04 ft^3 because the formula to find the volume of a cylinder is pi(r^2)h. The volume of the hemisphere is 1071.78 ft^3. Now, we have to add those volumes to get our final answer. 4823.04 + 1071.78 = 5894.82.
Please help! This boxed is packed with cubes that measure on cubic foot.
Enter the volumes of the box in cubic feet.
Answer:
Volume of Cuboid = 72 cubic feet
Step-by-step explanation:
Using 1 cubic foot as standard
Given:
Length of given cuboid = 6 feet
Width of given cuboid = 3 foot
Height of given cuboid = 4 foot
Find:
Volume of Cuboid
Computation:
Volume of Cuboid = Length of cuboid x Width of cuboid x Height of cuboid
Volume of Cuboid = (6)(3)(4)
Volume of Cuboid = 72 cubic feet