Answer:
Step-by-step explanation:
[tex]6\sqrt{20} + 8\sqrt{5} -5\sqrt{45}[/tex]
[tex]12\sqrt{5} + 8\sqrt{5} -15\sqrt{5}[/tex]
[tex]5\sqrt{5}[/tex]
Answer:
Step-by-step explanation:
I imagine that you are simplifying this, since there is nothing else you can do with it. You are in the section in algebra where you're learning how to simplify radicals. ALWAYS think prime factorization when it comes to numbers. For example, the square root of 5...the prime factorization of 5 is simply 5 * 1. So we know that √5 is as simple as it can be. It would benefit us if we could simplify either of the other 2 radicals down to the same radicand so we could add or subtract them.
The prime factorization of 20 is
20--> 5 * 4
4--> perfect square (2×2). So the simplification of 6√20 is 6×2√5 which is 12√5.
The prime factorization of 45 is
45--> 5 * 9
9--> perfect square (3×3). So the simplification of 5√45 is 5×3√5 which is 15√5.
Put it all together to get
12√5 + 8√5 -15√5 which simplifies to
5√5
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B
ok pls help i’m so bad at this
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Step-by-step explanation:
A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?
Answer:
28 km per hour
Step-by-step explanation:
First determine the amount of time that the trip took
17:55 - 17:40 = :15 or 15 minutes
We need the time in hours
15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours
To determine speed, take distance and divide by time
7 km ÷( 1/4 hours)
Copy dot flip
7 * 4/1
28 km per hour
Select the correct answer.
You're given three angle measurements of 30° 70°, and 80°. How many triangles can you construct using these measurements?
OA 0
OB.
OC 2
OD. infinitely many
Reset
Next
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Answer:
infinitely many
Step-by-step explanation:
All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.
Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit
Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?
Answer:
ok so the standard equation for finding the area of a equation is BH=A
so if the lenth is 1323 and the width is unknown other wise X
we can make an equation
1323X=30
so we divide 30 by 1323 which is
X=0.02267573696 so
The width is about 0.023 cm
Your Welcome
BIFFY OUT!!!
9.03 which number is in the tenths place
Answer:
0
Step-by-step explanation:
think of the decimal as one
Answer:
Step-by-step explanation:
Zero (0) is in the tenths place here.
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
Make X the subject of the formula
[tex]y = \sqrt{ax + b} [/tex]
Answer:
[tex]x = \frac{y {}^{2} - b }{a} [/tex]
Step-by-step explanation:
[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]
Answer:
x = [tex]\frac{y^2-b}{a}[/tex]
Step-by-step explanation:
Given
y = [tex]\sqrt{ax+b}[/tex] ( square both sides )
y² = ax + b ( subtract b from both sides )
y² - b = ax ( isolate x by dividing both sides by a )
[tex]\frac{y^2-b}{a}[/tex] = x
Solve 6x + 5 = 3x + 14
Step-by-step explanation:
6x-3x=14-5
3x=9
x=9/3
x=3
Step-by-step explanation:
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 9/3
x = 3
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?
Answer:
$4.7 (approx)
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100
Please help! What is the division problem represented by this model?
Answer:
the answer is 42/100
42 blocks are shaded out of 100
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
plz help me I will give u branist and follow u and also give u like plz help me
Answer:
2166.53
Step-by-step explanation:
a = 10,000(1.04)⁵
a = 12,166.53
12,166.53 - 10,000 = 2166.53
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative inverse of 7, | 11-5|×|1-5|
Answer:
See Explanation
Step-by-step explanation:
a) Additive inverse of −2
the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.So the Additive inverse of -2 is 2. ∴ -2+2=0b) Additive identity of −5
Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number. -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.c) additive inverse of 3
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.d). multiplicative identity of 19
an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multipliedMultiplicative identity if 19 is 1 only, since 19 x 1 = 19.e) multiplicative inverse of 7
Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.d) | 11-5|×|1-5|
| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24PLEASE HELP THANK YOU
Answer:
74 deg
Step-by-step explanation:
Ok, so this is a bunch of steps.
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided
Answer:B
Step-by-step explanation:
A(3;4) in the parabola.
The answer B: y=(x-3)^2 +4.
y=yA=4; x=xA= 3
=> 4=(3-3)^2+4 (right)
Please help me with questions 6) ii), iii) and d). I’ve been trying for so long.
Answer:
5,000
Step-by-step explanation:
Which is the correct expansion of (3x+2)(3x^2+4)
Answer:6x + 3x^2 +4
depending on what your on
Step-by-step explanation:
Answer:
9x^3 + 6x ^2 + 12x + 8
Step-by-step explanation:
Do each individually.
First (3x^2)(3x) = 9x^3
Then (3x^2)(2) = 6x^2
Then (3x)(4) = 12x
Then (4)(2) = 8
Finally add everything together, since everything has a different exponent, then just combine like I have above.
WILL MARK BRAINLIST!!
Answer:
24 units
Step-by-step explanation:
Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.
24 units
////////////
The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
4
5
7
13
Answer:
4, 5, and 7
Step-by-step explanation:
Length of two sides are 4 and 7 feet.
Thier sum = 4 + 7 = 11 feet.
We know that, sum of two sides is always larger than the third side.
So, 4, 5, and 7, can not be the third side here.
Answer: 13
Step-by-step explanation: a= 4,
B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13
10 points to answer this question. Determin the numerical length of VW.
Answer:
9
Step-by-step explanation:
4x-7 + 3x = 5x -1
7x - 7 = 5x +1
2x = 8
x = 4
VW = 4x - 7
= 4(4) - 7
= 16-7
= 9
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2
Answer:
The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6
Step-by-step explanation:
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
Math item stem image
CLEAR SUBMIT
97 muffins
100 muffins
101 muffins
120 muffins
Answer:
120 muffins
Step-by-step explanation:
If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.
Hope this is helpful
1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *