Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
18+24.25π units²
18+12.125π units²
36+24.25π units²
36+12.125π units²
Answer:
carna estralia con frema es 36+12.125tt ernits es answeana
Step-by-step explanation:
Answer:
18+12.125π units²
Square root of 64 + cube root of 64 is
Answer:
12
Step-by-step explanation:
[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]
= 8 + 4
= 12
Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]
Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]
So,
Square root of 64 + Cube root of 64
[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]
12 is the answer of the question asked.
____________
Hope it helps.
RainbowSalt2222
darious buys a bottle of chemical solution that contains 70% alcohol. the bottle contains 500 ml of solution. how many ml of alcohol r in the solution
Answer:
350 ml of alcohol
Step-by-step explanation:
70% = 70/100 = 0.7
70% of 500 ml is:
500*0.7 = 350 ml
there are:
350 ml of alcohol
Kia was 200 m north of the Liebrary when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes cost round-trip
Answer:
His speed is 2 m/s
His velocity is 0 m/s
Step-by-step explanation:
I'll assume the question is
Kia was 200 m north of the Library when he remembered he had to return some books to the library it took him to 200 seconds to do the round-trip which best describes hist round-trip.
Kia's distance from the Library is 200 m
the round-trip took him 200 s
The total distance for the round trip = 200 x 2 = 400 m
His displacement for the round trip = 0 m (since he returns to his original position)
His speed = distance/time = 400/200 = 2 m/s
His velocity = displacement/time = 0/200 = 0 m/s
Use the provided graph to write the vertex form equation of the parabola.
Answer:
(x-6)^2+y=3
Step-by-step explanation:
The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3
How would I simplify 14.8+6.25+0.97
Answer:
22.02
Step-by-step explanation:
14.8+6.25+0.97 is 22.02
don't know what you mean by simplify
-32=8n I need help please
Answer:
n = -4
Step-by-step explanation:
-32=8n
Divide each side by 8
-32/8 = 8n/8
-4 = n
- 32 = 8n
Cross multiplying we get
n = -32/8
n = -4
Henceforth, the required solution is -4plzzzzzzzzz helllppppp
Answer:
26 = <F
Step-by-step explanation:
Since the triangle is isosceles, the base angles are the same
<D = <F
26 = <F
The triangle is a isosceles triangle
Angles corresponding to base are equal[tex]\\ \rm\Rrightarrow <D=<F[/tex]
[tex]\\ \rm\Rrightarrow <F=26°[/tex]
A typical television newscast has three cameras. The center camera directly faces the news anchor’s desk. The other two cameras are both angled 45 degrees away from the center camera. Suppose each camera has a filed if 60 degrees. What is the total angle covered by three cameras? Explain your reasoning.
commom difference of an AP -4 , -4 , -4 ,............is...
Answer:
0
Step-by-step explanation:
Common Difference = Difference between any two consecutive terms
= - 4 - (-4)
= - 4 + 4
= 0
The figure below shows a parallelogram ABCD Side AB parallel to side DC and side AD is parallel to side BC A student wrote the following sentences to prove that parallelogram ABCD has two pairs of opposite sides equal For triangles and COB alternate interior angle ABD is congruent to angle CDB because AB and DC are parallel lines Similarly interior angle equal to angle CBD because AD and are parallel lines equal to DB by the reflexive property Therefore , triangles ABD and COB are congruent by the SAS postulate Therefore AB congruent to and AD congruent BC CPCTC Which statement best describes a flaw in the student's proof ?
Answer:
Second choice
Explanation :
The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.
Hope I helped! :)
If yes mark me BRAINLIEST!
Tysm!
Triangles ABD and CDB are congruent to each other by the ASA theorem. The student used SAS which is wrong. The answer is: D.
What is the ASA Theorem?The ASA theorem states that two triangles that have a pair of corresponding included congruent sides and two pairs of corresponding congruent angles are congruent triangles.
Based on the ASA theorem, triangles ABD and CDB are congruent to each other.
Therefore, the use of SAS theorem by the student is wrong.
Learn more about the ASA theorem on:
https://brainly.com/question/2102943
#SPJ6
the product 9f 2 numbers is 16/9 . if one number is 5 /2 find the other number
Answer:
The answer is 32/45Step-by-step explanation:
Let the number be x
The product of two numbers is 16/9
That's
x × y = 16/9
One of the numbers is 5/2
That's
y = 5/2
So we have
[tex] \frac{5}{2} x = \frac{16}{9} [/tex]
Multiply through by the LCM
The LCM of 2 and 9 is 18
That's
[tex]18 \times \frac{5}{2} x = \frac{16}{9} \times 18[/tex]
9 × 5x = 16 × 2
45x = 32
Divide both sides by 45
we have the final answer as
[tex]x = \frac{32}{45} [/tex]
Hope this helps you
In this drawing, line p is parallel to line j and line t is perpendicular to ray ab
hope it helps you mark me as a brilliant
Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!
Answer:
There are 0.454 kg in one pound.
So, in 120 pounds there are 0.454 x 120 kgs.
This is equal to 54.48, and the answer is 54.48 kg.
Let me know if this helps!
Find X round to the nearest tenth.
Answer:
x= 31.8
Step-by-step explanation:
22/sin(75) = 12/sin(x)
or, 22/(12×sin(75)) = 1/sin(x)
or, sin(x) = 12×sin(75)/22
or, x = arcsin(12×sin(75)/22)
or, x = 31.8 (rounded to the nearest tenth)
i need help please :(
Answer:
-(1/3 · 1/3 · 1/3 · 1/3 )
Step-by-step explanation:
-(3)^-4= -1/3 ^4 = -1/81
-(1/3 · 1/3 · 1/3 · 1/3 )= -1/81
Answer:
Answer:
[tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex]
Step-by-step explanation:
[tex] - {(3)}^{ - 4} = \\ - ( { 3}^{ - 4} )= \\ - (\frac{1}{ {3}^{4} } )[/tex][tex] = - ( \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} )[/tex][tex] = - \frac{1}{81} [/tex]
Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm35, start text, space, c, m, end text. What is the distance the hula hoop rolls in 444 full rotations?
Answer: 880 cm
Step-by-step explanation:
Given: Radius of the hula hoop = 35 cm
Hula hoop is circular in shape
Then, Circumference = [tex]2\pi r[/tex] , where r = radius
Now , Circumference of hula hoop = [tex]2\times \dfrac{22}{7}\times35=220\ cm[/tex]
Now , the distance the hula hoop rolls in 4 full rotations = 4 × (Circumference of hula hoop)
[tex]= 4 \times 220=880\ cm[/tex]
Hence, the required distance = 880 cm
Answer:
880
Step-by-step explanation:
Which point would be a solution to the system of linear inequalities shown below? {see image for inequalities}
(-10, -2)
(−5,2)
(10,7)
(10,−2)
Answer:
(10, -2)
Step-by-step explanation:
The inequalities are:
y < x - 7 (1)
y < (1/5)x - 2 (2)
To solve this problem, we have to solve both equations simultaneously and then find the value of x and y that makes the inequality true.
To solve the inequality, subtract inequality (2) from inequality (1) which gives:
0 < (4/5) x - 5
-(4/5)x < -5
Dividing both sides of the equation by -4/5 gives:
-(4/5)x / (-4/5) < -5/ (-4/5)
x > 6.25
Put x > 6.2 in inequality 1
y < 6.25 - 7
y < -0.75
The solution of the inequality is x > 6.25 and y < -0.75
From the list of option, the correct answer is (10, -2) since 10 > 6.25 and -2 < -0.75
In a certain online computer game, there are 460 players on the Green Team and 1000 players total in the game.
The game randomly chooses a player to receive a bonus. Let the event A and the event B be as follows.
A: The player the game chooses is on the Green Team.
B: The player the game chooses is not on the Green Team.
Find the following probabilities. Write your answers as decimal numbers and do not round.
Answer:
a46%
b54%
Step-by-step explanation:
The dosage for a certain drug calls for 20mg per kg per day and is divided into two doses(1every 12 hours) if a person weighs 197 pounds how much of the drug should be given each dose
Answer:
893.42
Step-by-step explanation:
1kg=2.205pounds
so 20mg is for 2.205pounds
therefore for 197pounds will be 1784.84mg
but the dose is once every 12hrs meaning twice a day so divide 1784.84/2 to get the pounds
Find an equation of the line having the given slope and containing the given point. m= 4/5,(1,-8).
The equation of the line is y=‽
Answer:
y=4x/5-44/5
Step-by-step explanation:
First, we know that we can write any linear equation in the form y=ax+b, where a is the slope. This means that y=(4/5)x+b. Now, it has the point (1, -8). Plugging in x=1 and y=-8 gives us -8=(4/5)+b, which means that b=-44/5. Plugging this in gives us y=(4/5)x-44/5. Hope it helped!
Simplify by combing like terms: -18 + 3(5x - 2) + 8
Answer:
15x-16
Step-by-step explanation:
3(5x-2)+(-18+8)
3(5x-2)-10
15x-6-10
15x+(-6-10)
15x-16
please help with this i don’t understand
Find the area of the shaded regions.
Answer:
A = 27π cm² or about 84.8 cm²
Step-by-step explanation:
Area of a full circle is πR²
As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing
A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²
WILL MARK BRAINLIEST!!! PLZ HELP! The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 Function 2 f(x) = −x2 + 4x + 1 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (2, 5). Function 2 has the larger maximum at (3, 2).
Answer:
C: Function 2 has the larger maximum at (2, 5).
Step-by-step explanation:
We are given two functions, with Function 1 being described by the graph and Function 2 given by the function:
[tex]f(x)=-x^2+4x+1[/tex]
Notice that the leading coefficient of Function 2 is negative. The graph of Function 1 is curving downwards. So, both functions will have maximum values.
Recall that for a parobala, the maximum (or minimum) values is the y-value of the vertex point. So, let's find the vertex for each function.
For Function 1, we can see that the vertex is at (4,1). Thus, its maximum value is y = 1.
For Function 2, we will need to work out the vertex. Recall that the vertex is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(-\frac{b}{2a}\right)\right)[/tex]
Function 2 is defined by:
[tex]f(x)=-x^2+4x+1[/tex]
Therefore, a = -1, b = 4, and c = 1.
Find the x-coorindate of the vertex:
[tex]\displaystyle x=-\frac{(4)}{2(-1)}=2[/tex]
Substitute this back into the function to find the y-coordinate.
[tex]f(2)=-(2)^2+4(2)+1=5[/tex]
So, the vertex of Function 2 is (2,5). Therefore, the maximum value of Function 2 is y = 5.
Since 5 is greater than 1, the maximum value of Function 2 is greater.
The answer is choice C.
Question 13 (5 points)
m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.
Answer:
x=19°
Step-by-step explanation:
Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.
Right angles always add up to 90°.
So, Angle 1 add Angle 2 equals 90°.
4x+9+x-14=90°
Collect the like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
9-14= -5
Form an equation:
5x-5=90°
Do inverse operations to isolate x.
90+5=95°
95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).
So, x=19°
Hope this helps :)
answer all of the following please.
Answer:
Front = 30
Back = 30
Right = 30
Left = 30
Bottom = 25
Top = 16
Total = 161
Let me know if this helps!
Solve the equation for x
Answer:
the answer is 5
Step-by-step explanation:
2x/5 - 9 = -7
2x/5 = -7 + 9
2x/5 = 2
2x = 2 * 5
2x = 10
x = 10/2
x = 5
Answer:
x = 5
Step-by-step explanation:
2
--- x - 9 = -7 add 9 both sides
5
2
--- x - 9 + 9 = -7 + 9
5
2
--- x = 2 multiply both sides by 5
5
2
5 * --- x = 2 * 5
5
2x = 10
x = 10 / 2
x = 5
What is the slope of the line that passes through the points (-20, 18) and (30, 14)?
Answer:
-2/25
Step-by-step explanation:
Use the slope formula: rise/run to find the slope
Answer:
slope = - [tex]\frac{2}{25}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 20, 18) and (x₂, y₂ ) = (30, 14)
m = [tex]\frac{14-18}{30-(-20)}[/tex] = [tex]\frac{-4}{30+20}[/tex] = [tex]\frac{-4}{50}[/tex] = - [tex]\frac{2}{25}[/tex]
Please please please please help
Answer:
[tex]x^2 +4x +3 [/tex]
Step-by-step explanation:
f(x)=x²-1
g(x)= x+2
f(g(x)) =f(x+2)
=(x+2)²-1
=x²+4x+4-1
=x²+4x+3