Answer:
Step-by-step explanation:
(a + b)(a - b) = a² - b²
[tex](7 + 4\sqrt{3}) (7 - 4\sqrt{3}) = 7^{2}-(4\sqrt{3} )^{2}\\\\ = 49 - 4^{2}*(\sqrt{3})^{2}\\\\= 49 - 16 * 3\\\\= 49 - 48\\\\= 1[/tex]
[tex]\boxed{1}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](7 + 4 \sqrt{3} ) \: (7 - 4 \sqrt{3} ) \\ \\ = 7 \: (7 - 4 \sqrt{3} ) + 4 \sqrt{3} (7 - 4 \sqrt{3} ) \\ \\ = 49 - 28 \sqrt{3} + 28 \sqrt{3} - 48 \: (since \: \sqrt{3} \times \sqrt{3} = 3)\\ \\ = 49 - 48 \\ \\ = 1[/tex]
You can also use the identity:
( a + b ) ( a - b ) = [tex] {a}^{2} - {b}^{2}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
125.315 to two significant figures
Answer: 130
Step-by-step explanation:
The five rounds up making it 130
Help someone plsss!!!!!!!!!!
Answer:
150 degrees.
Step-by-step explanation:
We know, 1 Hour angles = 15 Degrees
So, 10 hour walking = 10*15 = 150 degrees
Hope this will help. Please mark me brainliest.
Solve for x
1 point
х
6
8
O
6
8
O 10
Answer:
x = 10
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]6^{2} +8^2=c^2[/tex]
[tex]36+64=100[/tex]
[tex]\sqrt{100}[/tex] = 10
Brian purchased a rectangular-shaped granite countertop for the island in his kitchen. The granite slab measures
72 inches by 42 inches by 1.25 inches. If the density of granite is 170 pounds per cubic foot, how much does the
countertop weigh in pounds?
HELP ME PLEASE!!!
Answer: [tex]371.8\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Dimensions of rectangular granite countertop is [tex]72\times 42\times 1.25\ in.^3[/tex]
Density of granite is [tex]\rho=170\ \text{Pounds per cubic ft}[/tex]
Volume of granite countertop
[tex]\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3[/tex]
We know, 1 ft=12 inch
[tex]\therefore V=2.187\ cm^3[/tex]
Weight of granite
[tex]\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}[/tex]
Rewrite the following polynomial in standard form. -x -7x^2 -10
Please Help
Answer:
-7x^2 - x - 10
Step-by-step explanation:
Rewriting a polynomial in standard form most often involves writing the x terms in descending order by power: x^2, x^1, x^0
Rewrite -x -7x^2 -10 as -7x^2 - x^1 - 10x^0, which is usually simplified to:
-7x^2 - x - 10
This result is in "standard form."
[tex]-7x^2-x-10
[/tex]
I need help fast with the first question in the page which is the find algebraically in R
Answer:
2x²+5x-6 = 0
using the quadratic formula
x = 0.886 and x= -3.386
find x of the circle
Answer:
x= 80
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)
50 = 1/2 ( 20+x)
Multiply each side by 2
2*50 = 20+x
100 =20+x
Subtract 20 from each side
80 =x
Which of these answer choices is true about the pattern
Answer:
D is the correct answer.
How does the pursuit of
justice affect those who
seek it?
Answer:
the pursuit can affect your hands
Eva bought a guitar for $80. Later that guitar was marked down by 35%. By how much has the value been decreased?
Answer:
r
Step-by-step explanation:
Answer:
$52 is the sale price.
Step-by-step explanation:
First find 35% of $80. Multiply .35 x 80 to do this.
.35 x 80 = 28
Then subtract 28 from the original price 80.
80 - 28 = 52
Calculate the distance of line segment AB.
1 pm
B
A
24 cm
10 cm
с
14
O 25
O 28
0 26
O 31
Answer:
26 cm
Step-by-step explanation:
[tex]a^{2} +b^2=c^2[/tex]
[tex]24^2+10^2=c^2[/tex]
576 + 100 = 676
[tex]\sqrt{676}[/tex] = 26 cm
Which expression is equal to 12x
A. 4x + 4x - 4x
B. 24x/2
C. (3x)(4x)
D. 15x - 3
Answer:
B.
Step-by-step explanation:
4x + 4x - 4x = 4x
24x ÷ 2 = 12x
3x • 4x = [tex]12x^2[/tex]
15x - 3 = 15x - 3
Answer:
B. 24x/2
Step-by-step explanation:
12x
A. 4x + 4x - 4x = 8x - 4x = 4x
B. 24x/2 = 24/2 x = 12x
C. (3x)(4x) = 12 x^2
D. 15x - 3 = 15x -3 ( no like terms
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
can somebody help me frl frl cause I'm failing
Does this table represent a function? Why or why not?
The answer to this is C because one X vslue can not have more than y value. 8 has two y values which means that this is not a function, it should only have one.
HELPPPPP!!!! ASAPPPPP!!!!
Answer:
the second one
Step-by-step explanation:
if 7=42,6=30,5=20 then 3=? find it's value
Answer:
6
Step-by-step explanation:
7=42 is 7*6
6=30 is 6*5
5=20 is 5*4; it's multiplied by the number below it, so 3 will be 3*2
3 = 6
Step-by-step explanation:
Given: 7 = 42, 6 = 30, 5 = 20
7 (x 6) = 42
6 (x 5) = 30
5 (x 4) = 20
Follow the pattern
4 (x 3) = 12
3 (x 2) = 6
3 = 6
can someone please answer this
Answer:
x = 100
It is on a straight line and so, it equals to 180.
180 - 80 = 100
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
last question was wrong. Line l and line m are straight lines. What is the measure of angle y?
y+43°= 180°( straight angle)
=>y= 180°-43°
=>y=137°
HELPPPPPPPPPPPPPPPPPP ASAP!!!!!!!!!!!!!!!!
Answer:
[tex]254.5 m^2[/tex]
Step-by-step explanation:
Area of a Circle: [tex]A=\pi r^2[/tex]
The r is the length of the radius of the circle
The radius of the shown circle is 9 m
[tex]A=\pi 9^2[/tex]
[tex]A=81\pi=254.469004941[/tex]
Answer:
254.57 square meters
Step-by-step explanation:
first we need to know the details given in the question . in this question we are given radius of the circle which is eight 9m.
then we need to know the formula for finding the area of the circle.
which is πr^2 ,value of pie is 3.14
3.14*9*9=254.57.
At sunrise, the outdoor temperature was 2 degrees
below zero. At dusk, the outdoor temperature has
dropped to 15 degrees below zero. What is the distance
between the two temperatures?
Answer: 13 degrees
Step-by-step explanation:
1. - 2<0
2. (- 2)-(-15)=(-2)+15=13
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
I need help with my math work .
Answer:
lol ! where is your question?
The measure of arc XY is 85 degrees. The measure of arc WZ is 25 degrees. What is the measure of angle 3?
Given:
Consider the below figure attached with this question.
To find:
The measure of angle 3.
Solution:
According to intersecting secant theorem, if two secants of a circle intersect each other outside the circle, then the angle on the intersection is half of the difference of the intercepted arc.
[tex]\text{Angle on intersection}=\dfrac{1}{2}(\text{Major arc}-\text{Minor arc})[/tex]
Using the intersecting secant theorem, we get
[tex]m\angle 3=\dfrac{1}{2}(m(arcXY)-m(arcWZ))[/tex]
[tex]m\angle 3=\dfrac{1}{2}(85^\circ-25^\circ)[/tex]
[tex]m\angle 3=\dfrac{1}{2}(60^\circ)[/tex]
[tex]m\angle 3=30^\circ[/tex]
Therefore, the measure of angle 3 is 30 degrees.
Answer: 30 degrees
Step-by-step explanation:
need the points
Help,anyone can help me do quetion
Answer:
a3) x= 83
y= 180-71 = 109
a4) x=53
w= 180-53...
y=x=53
z= 180-y
the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number
Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let the third number be x , then
[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
Of the statistical processes we have covered throughout this course, which would be most helpful to determine if study hours and sleep could help estimate a student's test score?
Answer:
Pearson correlation coefficient
Explanation:
The Pearson correlation coefficient, also simply called correlation coefficient measures the linear correlation between two sets of data/variables, independent variables and dependent variable. A correlation coefficient may only be between -1 and 1 where +1 denotes a perfect positive correlation between variables(both variables increase together), 0 is no correlation, and -1 is perfect negative correlation between variables(one decreases while other increases).
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Answer:
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Step-by-step explanation:
Given
[tex]x_1 = -2[/tex]
[tex]x_2 = 3[/tex]
[tex](x,y) = (-1,2)[/tex] --- a point on the parabola
Required
The equation
First, calculate the equation from the zeros
[tex]y =k(x - x_1)(x - x_2)[/tex]
Substitute [tex]x_1 = -2[/tex] and [tex]x_2 = 3[/tex]
[tex]y =k(x - -2)(x - 3)[/tex]
[tex]y =k(x +2)(x - 3)[/tex]
To solve for k, we substitute [tex](x,y) = (-1,2)[/tex]
[tex]2 = k(-1+2)(-1-3)[/tex]
[tex]2 = k(1)(-4)[/tex]
[tex]2 = -4k[/tex]
Divide by -4
[tex]k=\frac{2}{-4}[/tex]
[tex]k=-\frac{1}{2}[/tex]
So, the equation is:
[tex]y =k(x +2)(x - 3)[/tex]
[tex]y =-\frac{1}{2}(x +2)(x - 3)[/tex]
Answer: c
Step-by-step explanation:
complete the conversion:
5 grams / metres squared = _________ kilograms / hectares
(5g/m2=_________ kg/ha)
Answer:
5 grams/metres squared = 50 kg/hectares
Step-by-step explanation:
We need to convert 5 grams/metres squared to kilograms/hectares.
We know that,
1 kg = 1000 g
1 hectare = 10000 m²
So,
[tex]5\ \dfrac{g}{m^2}=5\times \dfrac{0.001}{\dfrac{1}{10000}}\\\\=50[/tex]
Hence, 5 grams/metres squared = 50 kg/hectares