Answer:
112.50
Step-by-step explanation:
10% added 7.50 is 75
5% added to 7.50 is is 37.50
75+37.50= 112.50
estimate the area of the circle. use 3.14 3.14 or 22 7 227 for π π.
Answer:
615.44
Step-by-step explanation:
If the diameter is 28, that means the radius is 14.
The formula for the area of a circle is pi x radius to the power of 2. So, 14 to the power of 2 (or 14 x 14) equals 196. 196 x 3.14 (pi) = 615.44
The estimated area of the circle is about 615.44 cm² or 616 cm², depending on which value you use for π.
How to find the area of a circle?Suppose the circle has radius of 'r' units, then, its area is given as:
[tex]A = \pi \times r^2[/tex] sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
[tex]\pi \times (\dfrac{d}{2})^2[/tex] sq. units
We are given that;
Diameter=28cm
Now,
In this case, the diameter of the circle is 28 cm, so the radius is half of that:
r = 28 / 2 = 14 cm
Plugging this value into the formula, we get:
A = π × 14²
Now we can use either 3.14 or 22/7 for π. Let’s use both and compare:
A ≈ 3.14 × 14² ≈ 3.14 × 196 ≈ 615.44 cm²
Or
A ≈ (22/7) × 14² ≈ (22/7) × 196 ≈ (4312/7) cm² ≈ 616 cm²
Therefore, by the area of circle the answer will be 615.44 cm² or 616 cm², depending on which value you use for π.
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Find the length of the missing side of the right triangle.
Since this is a right triangle, we can use the Pythagorean theorem to find the hypotenuse of length 'c'.
[tex](length-of-leg1)^2+(length-of-leg2)^2=(length-of-hypotenuse)^2\\15^2+36^2 =c^2\\c = \sqrt{15^2+36^2} \\c= 39[/tex]
Thus c equals 39.
Hope that helped!
Solve each equation by using the square root property. 4X^2+9+=33
Answer:
Step-by-step explanation:
4X^2=33-9
4X^2=24
X^2=24:4
X^2=6
X=\sqrt{6}
Good luck!
3( x - 4) = -2( 4 - x)
Step-by-step explanation:
first multyply x-4 by 3
second: same as first no:
put the algebric expression in same side
then do 3x-2x = -8 plus 12
then your answer is ready
Rewrite the following expression as the product of two binomials. Do not simplify the product.
(x-5)(4x+9) + (2x - 4)(x-5)
Answer:
x-5
Step-by-step explanation:
Slove for n n - 18 = 14
Answer:
N=32
Step-by-step explanation:
Answer: 32
Step-by-step explanation:
32-18=14
Plz HELP
Item 9
A conjecture and the paragraph proof used to prove the conjecture are shown.
Given: ABCD is a parallelogram. Segment DC bisects angle B D E. Prove: angle 1 is congruent to angle 3. Parallelogram A B C D. Two rays D B and D E share endpoints at vertex D. Ray D B extends diagonally up to the right from D C at vertex D forming interior angles A B D and B D C. Angle A B D is labeled 1 and angle B D C is labeled 2. Ray D E extends diagonally down to the right from segment D C at vertex D forming an exterior angle C D E. Angle C D E is labeled 3.
Drag an expression or phrase to each box to complete the proof.
It is given that ABCD is a parallelogram, so AB¯¯¯¯¯∥DC¯¯¯¯¯ by the definition of parallelogram. So, ∠1≅ ∠2 by the alternate interior angles theorem. It is also given that DC¯¯¯¯¯ bisects ∠BDE, so ∠2≅ Response area by the Response area. Therefore, Response area ≅∠3 by the Response area.
option choices
Transitive property of congruence
definition of angle bisector
∠1
∠2
∠3
Answer:
goes in order like...
∠3
definiton of angle bisector
∠1
transitive property of congruence
Step-by-step explanation:
i took the test and got it right
Simplify these expressions
a) х х х х х х у х у
b) 2 x x x x x 3 x y x у х у
Please help me!
Answer:
a) x³y²
b) 6x²y³
Step-by-step explanation:
For a), x × x × x can be simplified to x³ (there are three x's multiplying each other) and y × y can be simplified to y² (there are two y's multiplying each other)
For b) 2 × 3 can be simplified to 6, x × x can be simplified to x² and y × y × y can be simplified to y³
Hope this helps!
Help me find x but in only simplified radical form
Answer:
x = [tex]\sqrt{15}[/tex]
Step-by-step explanation:
Since 2 sides are equal then triangle is isosceles and the segment from the vertex is a perpendicular bisector.
Th triangle is divided into 2 right triangles with legs x and 7 and hypotenuse 8
Using Pythagoras' identity, then
x² + 7² = 8²
x² + 49 = 64 ( subtract 49 from both sides )
x² = 15 ( take square root of both sides )
x = [tex]\sqrt{15}[/tex]
Find the equation of the straight line passing through the point (0, 5) which is perpendicular to the line y=1/6x+2
Hey there!
Perpendicular lines have slopes that are opposite reciprocals. This means we take a number, flop it over, and change its sign.
In this case, the slope is 1/6.
First, flop it over:
6/1 (or just 6)
Then, change its sign:
-6
Now, the line passes through the point (0, 5)
The reason 5 is highlighted is because it's the y-intercept of 5.
So we have the Slope & the Intercept.
See what I mean? Yeah! We can write the line's equation in Slope-Intercept Form (y=mx+b)
In this formula, m stands for the slope, and b stands for the y-intercept.
In this case, -6 is the slope, and 5 is the y-intercept.
Hence, the equation is
[tex]\boxed{\boxed{\bold{y=-6x+5}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
[tex]\text{An amiable teenager }[/tex]
How many planes appear in this figure?
Answer:
We can't see the planes
Step-by-step explanation:
Answer:
Put the question up bruh
Step-by-step explanation:
Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees? Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?
Answer:
8.4weeksStep-by-step explanation:
The question in details "Mike is in college and it's time to pay textbook fees! If Mike doing work study for $5 per hour, and works 2 hours per week, how long will it take Mike to pay off $84 in fees?"
given that Mike is paid $5 per hour
and that he only works 2 hours per week
that means in a week he earns= 5*2= $10
Also, given that mike has a fee of $84 to pay
it would take him 84/10= 8.4weeks
it would take him 8.4weeks to pay the money
it is 3,896 miles round trip to craig´s aunt house.If he travels to her house 8 times this year how many miles did he travel in all?
Answer:
31,168 miles
Step-by-step explanation:
3,896 x 8 = 31,168
What is the ZERO for the graph?
Answer:
that is the orgin which means the middle.
Step-by-step explanation:
what is the answer for this problem?
2(10−4)2+8
The answer to your question is 32
2 (10-4)2+8
2*(6)*2+8
2*6*2=24
24+8=32
13+2(5x-6)=5(x-1)+2x
Answer:
x=-3
Step-by-step explanation:
hoping that it will help you
for each of the following, give the equation of the line shown
i didn't know the answer sorry
If DF bisects CDE, solve for x.
Answer:
Step-by-step explanation:
Solve for CF
CF = CE - FE
CF = 34 - 18 = 16
Bisectors Cut the base line they are connect to in a proportion.
40/CF = x/18
40/16 = x/18 Cross Multiply
16x = 40 * 18 Combine the right
16x = 720 Divide by 16 on both sides
16x/16 = 720/16
x = 45
there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?
Answer:
1/45 ≈ 0.022
Step-by-step explanation:
There are originally 10 juice boxes in the cooler, 2 of which are grape.
The probability that the first juice box is grape is 2/10.
The probability that the second juice box is grape is 1/9.
The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.
a cyclist bike a certain distance in 45 minutes. How long will it take a pedestrian to travel the same distance if he travels 2 2/3 times slower than the cyclist in minutes to hours.
Need by 3/14/22
Multiply time by the difference:
45 x 2 2/3 = 120 minutes
1 hour = 60 minutes
120/60 = 2 hours
Answer: 120 minutes which equals 2 hours
HELP ME PLEASE!!!!!
this is hard for me i need help
Answer:
-1 1/2, 3
Step-by-step explanation:
What is the slope of the line that passes through the points (1, -2) and (3, -5)? A. B. C. D.
Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{-5-(-2)}{3-1}}[/tex]
-5-(-2) is the same as -5+2:
[tex]\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }[/tex]
Hence, the slope of the given line is
[tex]\boxed{\boxed{\bold{-\frac{3}{2} }}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
#NeverGiveUp
[tex]\tt{An~Amiable~Helper}[/tex]
The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find slope of line passing through the points (1, -2) and (3, -5)
m= -5-(-2)/3-1
=-5+2/2
=-3/2
Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.
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Multiply the following polynomials, and write your solution in standard form:
(3x – 1) (2.08 + 4x2 – 5) =
Answer:
8x^2-8.76x+2.92
Step-by-step explanation:
Factor using FOIL and then simplify
Helps me solve this problem please middle one
Answer:
D
Step-by-step explanation:
Hope u got it.......
Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.
This is the same as writing the fraction [tex]\frac{24}{7}[/tex]
=======================================================
Explanation:
Use the pythagorean theorem to find the missing side.
[tex]a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\[/tex]
The horizontal side of the right triangle is 7 units long.
--------------------
The [tex]\tan(\theta)[/tex] is the ratio of the opposite over adjacent.
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\[/tex]
The value for the tan [tex]\theta[/tex] is 24/7.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
H= 25
P = 24
Now, Base, B= √H² - P²
B= √25² - 24²
B= √625- 576
B= 7
Now, tan [tex]\theta[/tex] = P/ B
= 24/ 7
Hence, the value for the tan [tex]\theta[/tex] is 24/7.
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The sides of a triangle are 40, 50, and 30. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.
Answer:
its a right triangle
Step-by-step explanation:
[tex]50^{2} = 30^{2} + 40^{2}[/tex]
If x=y then 5x=5y what property
If x = y, then 5x = 5y --> Multiplication Property
A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?
Answer:
$9
Step-by-step explanation:
5 × -92 =
Just a quick response on how to solve this, thanks a ton!
Answer:
-460
Step-by-step explanation:
I multiply by splitting the numbers into digits. So for the 90, in my head I did 5 × 90, which is 450. Then I did 2 × 5, this is 10. Now I added those up to make 460. Considering the 92 is negative, the answer will also be negative.
giving brainlist for correct answer. :))
Answer:
3300 m²
Step-by-step explanation:
Area of a triangle = 1/2 x base x height
⇒ area of one triangle = 1/2 x 30 x 40 = 600 m²
Area of a square = side length x side length
⇒ area of the square = 30 x 30 = 900 m²
Surface area of square-base pyramid = area of 4 triangles + area of square
⇒ SA = 4 × 600 + 900 = 2400 + 900 = 3300 m²