Step-by-step explanation:
log 25 + log 8 = log (25 × 8) = log 200
log 200 - log 2 = log (200 ÷ 2) = log 100
logarithm base 10 of 100 is 2.
x^2= 14x +11
------------
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
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Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]state the following true or false
Answer:
c. false (it should always be neg.)
d. false
Step-by-step explanation:
Answer:
(c) True, (d) False
Step-by-step explanation:
0.135 written as a fraction is _____.
27/200
5/37
27/100
Answer:
27/200
Step-by-step explanation:
To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000
Answer:
27/200
Step-by-step explanation:
your teacher tried to be tricky.
0.135 is simply 135/1000.
that is how you can express any finite decimal number.
anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?
with experience you see it right away. otherwise by simply trying.
in any case, the first option is the right one.
proof :
27/200 = 135/1000 ?
the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000
so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).
27/200 × 5/5 = (27×5) / (200×5) = 135/1000
and that is the proof. 27/200 is indeed 0.135
What is the congruence correspondence, if any, that will prove the given triangles congruent?
multiple choices on pic
Answer:
Option: CStep-by-step explanation:
As marked,
In triangle WKQ. In triangle MQK
WK. = MQ. (Given)
WQ. = MK. (Given)
KQ. = KQ. (Common side)
Hence,
As three sides of a triangle are equal so they will be proved by SSS Congruence Condition.
PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 146.85 units²
B. 45+9√3 units²
C. 36+9√3 units²
D. 36+3√3 units²
The total surface area of the pyramid is 52 square units
The formula for calculating the area of the triangular based pyramid is expressed as;
[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;
p is the perimeter of the base
s is the slant height
Get the Base area
[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]
Get the perimeter
Perimeter = 5 + 5 + 6
Perimeter = 16 units
Slant height = 5units
Substitute the given values into the formula above as shown;
[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]
Hence the total surface area of the pyramid is 52 square units
Learn more here: https://brainly.com/question/23353623
Answer:
52squnits
Step-by-step explanation:
A real estate agent receives a 3%
commission for selling a house. Find the
commission that the agent earned for
selling a house for $131,000.
you just have to divide the value by 100 and then multiply by 3 (the order doesn't matter tho) so,
131000/100 = 1310 x 3 = 3930
the commission is $3930.00
hope it helps :)
Relaciona la columna de la izquierda con los elementos asociados al polígono
a) centro
b) lado
c) vértice
d) ángulo interno
e) radio
f) ángulo central
g) apotema
h) ángulo exterior
Answer:
i dont know
Step-by-step explanation:
bu bu bu
8x+4=3(x-1) +7 solve
Answer:
x = 0
Step-by-step explanation:
8x + 4 = 3(x − 1) + 7
Simplify both sides of the equation:
8x + 4 = (3)(x)+ (3)(−1) + 7
8x + 4 = 3x + (−3) +7
Combine like terms:
8x + 4 = (3x) + (−3+7)
8x + 4 = 3x + 4
Subtract 3x from both sides:
8x + 4 − 3x = 3x + 4 − 3x
5x + 4 = 4
Subtract 4 from both sides:
5x + 4 − 4 = 4 − 4
5x =0
Divide both sides by 5:
5x/5 = 0/5
x = 0
Find the measure of angle A.
probably i think it is 22.5°
multiply
12/18×10/18
lesson name fraction.
find me out this question for answer
Indicate all the possible values for the variable in each of the
expressions:
13–2x + V1-x
Answer: -3
Step-by-step explanation:
13−2x+V1−x
Combine −2x and −x to get −3x.
13−3x+V
1
The 1 is supposed to be under the V
Which figure is described below?
The locus of points in a plane
equidistant between
(-5, -6) and (-5, 7).
Answer:
A.Line
Step-by-step explanation:
The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
We know that the graph of x = 5 is the vertical line through 5 on the x-axis. Two points on this line are (-5, -6) and (-5, 7).
We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant between (-5, -6) and (-5, 7)
We have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the middle line as described above.
This applies to diagonal parallel lines as well, and vertical parallel lines.
Hence, The locus of points in a plane equidistant between (-5, -6) and (-5, 7) is describe by the Line. so option A is correct.
Learn more about a point dividing a line segment in a ratio here:
https://brainly.com/question/14186383
#SPJ2
The pair of shoe cost 2500,On the ocation of Dashain its cost 2000,how much discount does buyer get?
plz help
Total Cost Of Shoe=2500
Totall discount Cost=2000
= 2500-2000
=500
A car starts from rest. if the velocity of car become 15m/s after 20s calculate the acceleration of the car.
Answer:
[tex]0.75 {ms}^{ - 2} [/tex]
Step-by-step explanation:
[tex]acceleration = \frac{velocity}{time} \\ = \frac{15ms ^{ - 1} }{20s} \\ = \frac{3}{4} ms ^{ - 2} \\ = 0.75 {ms}^{ - 2} [/tex]
[tex]\Large\rm{\underbrace{\green{ \: Acceleration \: = \: \ \frac{v}{t} \: }}}[/tex]
V denotes rate of change in Velocityt denotes time taken[tex] \bf \large \implies \: Acceleration \: = \: \frac{15}{20} \\ [/tex]
[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{15 \: \small \: m /s }{20 \: s} \: = \: \frac{3}{4} \: m /s ^{ - 1} \\ [/tex]
[tex]\bf \large \implies \: Acceleration \: = \: \cancel\frac{3}{4} \:m /s ^{ - 1} \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]
[tex] \bf \large \implies \: \: Acceleration \: = \: 0.75 \: \: m /s ^{ - 1} \\ [/tex]
Rodney and their roommates are making homemade pizza for dinner. Rodney tells his roommates that he would like for his slice to be cut at a 100 degree angle. The pizza has a diameter of 20 inches. To the nearest tenth of an inch, find the area of Rodney's slice of pizza. Approximate pi at 3.14.
Answer:
Area of pizza slice = 87 inches² (Approx.)
Step-by-step explanation:
Given:
Angle cut of pizza = 100°
Diameter of pizza = 20 inches
Find:
Area of pizza slice
Computation:
Area of sector = [Ф / 360][π][r²]
Area of pizza slice = [100/360][3.14][(20/2)²]
Area of pizza slice = [100/360][3.14][(10)²]
Area of pizza slice = [100/360][3.14][100]
Area of pizza slice = [0.2778][3.14][100]
Area of pizza slice = 87.2292
Area of pizza slice = 87 inches² (Approx.)
Put the steps In order
THIS IS TIMED! Find the equation of the graphed line.
On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7
Please select the best answer from the choices provided
A
B
C
D
Answer:
D
Step-by-step explanation:
x/(-6)+y/(-7)=1
7x+6y=-42
7x+6y+42=0
y=(-7/6)x-7
(-8)^-2 / 3^-4 simplify the expression. Write your answer using only positiv exponents.
Answer:
3^4 / 8^2 or 81/64
Step-by-step explanation:
(-8)^-2 / 3^-4 =
= 3^4 / (-8)^2
= 3^4 / 8^2
= 81/64
Answer these questions about finding the missing
angle measures.
What is the measure of
What is the measure of
What can be concluded about these triangles?
Answer choices/:
what can be concluded?
1.corresponding angles are proportional
2.The triangles are congruent
3.The triangles are similar
Answer:
Answer number one the
Step-by-step explanation:
the unequal triangles. If measured by angle, they are equivalent.
Please help im stuck on this pls help ( i have to sort the cubes some how) i will give brainliest to who gets it right
Answer:
see image
three groups of 4 means 12 / 4 = 3
Step-by-step explanation:
Help please urgent 25 point
Answer:
60
Step-by-step explanation:
b = the hypotenuse of a right angle triangle
a = the adjacent side.
R is being defined by the cosine
cos(R) = adjacent / hypotenuse
adjacent = 16* sqrt(2)
hypotenuse = 32*sqrt(2)
Cos(R) = 16*sqrt(2) / 32*sqrt(2) sqrt(2) cancels.
cos(R) = 1/2
R = cos-1(1/2)
R = 60 degrees.
1. Determine the measure of the unknown angles indicated by letters. Justify your answers with
the properties or theorems you used.
Answer:
110
Step-by-step explanation:
we use the sum of 3 angles in a triangle is 180
and sum of 2 adjacent angles is 180 too
180= (180-d)+)+(180-85)+(180-165)
so d=110
Step-by-step explanation:
video do oo so do to go do go to
factorise [tex]x^{2} + 11x[/tex]
Answer:
x(x+11)
Step-by-step explanation:
x^2+11x
Factor out x
x*x+11x
x(x+11)
Given that E=MC find E when M=20 and C =2.5
Answer:
50 or 125
Step-by-step explanation:
if u want E=MC then it would be 20 ×2.5=50
OR
if u what to find E=MC² then it would be 20×2.5×2.5 =125
ACCORDING TO ME THIS SHOULD BE THE ANSWER, BUT NOT QUITE SURE ABOUT THIS.
Answer:
E = 50
Step-by-step explanation:
If M=20 and C=2.5, replace the letters in the equation with their numerical values so E=20*2.5
20*2.5 = 50
thus E=50
I really need these answered!
Answer:
Step-by-step explanation:
#1) [tex]\arcsin \left(0.64958\right)=0.70703\dots \quad \begin{pmatrix}\mathrm{Degrees:}&40.51^{\circ \:}\end{pmatrix}[/tex]
∡C =62.49
[tex]\frac{\left(\sin \left(27^{\circ \:}\right)\right)}{3}=\frac{\sin \left(54^{\circ \:}\right)}{x}\quad :\quad x=\frac{3\left(\sqrt{5}+1\right)}{\sin \left(27^{\circ \:}\right)\cdot \:4}\quad \left(\mathrm{Decimal}:\quad x=5.34603\dots \right)[/tex]
Find the distance between the origin and the points (-8,4)
Hi, I'm happy to help!
To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.
The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.
First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, so we move 8 x units.
Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, so we move 4 y units.
Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.
Let's say x distance is a, and y distance is b. Now, apply the values:
8²+4²=c²
64+16=c²
80=c²
Now, we need to find the value of c, so we need to find the square root of 80.
√80=c
8.9442...=c
Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.
To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.
I hope this was helpful, keep learning! :D
what is the answer to -3/7 x -1 2/3
Answer:
-9x-35/21
Step-by-step explanation:
Answer:
[tex]\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]\frac{-3}{7}* (-1\frac{2}{3})=\frac{-3}{7}*\frac{-5}{3}\\\\= \frac{5}{7}[/tex]
The path from the subway station to the art museum is three blocks to the north then four blocks to the west.
What is the straight-line distance in blocks from the subway station to the art museum?
Answer:
7 block s
Step-by-step explanation:
3 from North plus
4 from West
4+3=7
Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.
Answer:
Rounded to the nearest tenth, 7.4 feet long.
Step-by-step explanation:
Tyrone has a rectangular storage unit. We are given the width and the diagonal length.
So we can use Pythagorean Theorem.
3^2 + b^2 = 8^2
9 + b^2 = 64
subtract 9 from both sides
b^2 = 55
b = sqrt55
b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.
Find the square root of 7250 by prime factorisation.
Answer:
The square root of 7250 is 85.15
Step-by-step explanation:
[tex]{ \boxed{ \sf{7250}}} \\ ↓ \div 2 \\ { \boxed{ \sf{3625}}} \\ ↓ \div 5 \\ { \boxed{ \sf{725}}} \\ ↓ \div 5 \\ { \boxed{ \sf{145}}} \\ ↓ \div 5 \\ { \boxed{ \sf{29}}}[/tex]
Find square roots of divisors:
[tex]{ \sf{ = \sqrt{2} \times \sqrt{5 \times 5 \times 5} \times \sqrt{29} }} \\ = { \sf{ \sqrt{2} \times \sqrt{125} \times \sqrt{29} }} \\ = { \sf{85.15}}[/tex]
[tex]{ \underline{ \sf{ \blue{christ \:† \: alone }}}}[/tex]
