if we take £15837.77 to be the 100% and we increase it by 18.5%, that'll be 100% + 18.5% = 118.5%.
[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 15837.77 & 100\\ x& 118.5 \end{array} \implies \cfrac{15837.77}{x}=\cfrac{100}{118.5} \implies (15837.77)(118.5)=100x \\\\\\ \cfrac{(15837.77)(118.5)}{100}=x\implies 18767.76\approx x[/tex]
16. Prove that the sum of three angles of triangle is two right angles.
Answer:
Two right angles = 180 degrees
Step-by-step explanation:
A right angle = 90 degrees
The sum of the interior angles of a triangle = 180 degrees
Two right angles (2 * 90) = 180
180 = 180
Therefore, the sum of the interior angles of any triangle is equal to two right angles.
please help me asap help help please please help me please please
Answer:
d.45 sq.ft
Step-by-step explanation:
Surface are i.e. Total surface area of square pyramid = a^2 + 2al
where a^2 is area of base
a is side of base
l is slant height
by the figure
a=3ft
a^2 = a×a
=3×3
=9ft
l=6ft
Surface area = a^2+2al
=9+2×3×6
=9+36
=45 sq.ft
Make x the subject of these equations.
a(x + b) = c
X =
Answer:
x = [tex]\frac{c-ab}{a}[/tex]
Step-by-step explanation:
a(x + b) = c ← distribute parenthesis on left side
ax + ab = c ( subtract ab from both sides )
ax = c - ab ( divide both sides by a )
x = [tex]\frac{c-ab}{a}[/tex]
Answer:
Just expand and solve for x :)
Need helping solving.
We can solve for angle HKG by using supplementary angles. The angle next to it and itself will add up to 180 degrees, as they are on a straight line.
[tex]120 + ?=180[/tex]
[tex]?=60[/tex]
Angle HKG is 60 degrees.
---
Now, we also know that in triangles, the angles are 180 degrees. We can add up all the angles and find x:
[tex]60+(6x-10)+(2x+10)=180[/tex]
Remove parenthesis:
[tex]60+6x-10+2x+10=180[/tex]
Add like terms:
[tex]8x+60=180[/tex]
Subtract 60 from both sides:
[tex]8x=120[/tex]
Divide both sides by 8:
[tex]x=15[/tex]
PROBLEM NUMBER TWOWe have more supplementary angles. We can find angle JHG:
[tex]?+72=180[/tex]
[tex]?=108[/tex]
---
Now add up the interior angles of the triangle:
[tex]4x-2+3x+4+108=180[/tex]
Add like terms:
[tex]7x+110=180[/tex]
Subtract 110 from both sides:
[tex]7x=70[/tex]
Divide both sides by 7:
[tex]x=10[/tex]
PROBLEM NUMBER TWOWe have more supplementary angles. We can find angle BDC:
[tex]?+111=180[/tex]
[tex]?=69[/tex]
---
Now add up the interior angles of the triangle:
[tex]69+7x+5+8x-14=180[/tex]
Add like terms:
[tex]60+15x=180[/tex]
Subtract 60 from both sides:
[tex]15x=120[/tex]
Divide both sides by 15:
[tex]x=8[/tex]
Rina Botwright receives $624 gross salary biweekly. Her income tax rate is 14%. Her group health plan contribution is $4.25 per pay period. She belongs to the company retirement plan, to which she contributes 6% of her earnings. She is also covered under Social Security benefits. Her current contribution is 6.05%
If these items are all her deductions, what is her take-home pay per period?
Rina gets a $35 raise per pay period. If her health plan is unchanged, how much of the raise will she have to take home?
take-home pay per period = $
amount of raise taken home = $
Rina Take home pay is $457.20
what is Salary percentage?
The basic salary divided by the Gross salary is multiplied by 100. The result is the percentage of gross salary.
Given that:
gross salary = $624
14% income tax = 624* 0.14 = $87.36
group health plan = $4.25
Company retirement = 624 * 0.060 =$37.44
Social Security = 624 * 0.0605 = $37.752
Home pay= 624 - 87.36 - 4.25 - 37.44- 37.752
= 457.198
Her take home pay is $457.198
if she gets a $35 raise per pay period,
So, new gross salary would be,
= $624 + $35
= $659.
Again, we have
14% Income tax = 659 * 0.14 = $92.26
Group health plan = $4.25
Company retirement = 659 * 0.060 = $39.54
Social Security = 695* 0.0605 = $39.8695
Home take pay,
=659-39.8695 - 45.825 - 39.54-92.26
=441.5055
Her take home pay is $441.5055
learn more about calculation of salary percentage here:
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In the parallelogram above, if angle R is 56 degrees, what is the value of x + y?
Answer:
248
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
56 + y = 180
y = 180-56
y =124
The opposite angles of a parallelogram are equal.
x = y = 124
x+y = 124+124
=248
Answer:
x + y = 248
Step-by-step explanation:
consecutive angles in a parallelogram sum to 180°
opposite angles are congruent
x + 56° = 180° ( subtract 56° from both sides )
x = 124°
then
y = x = 124 , so
x + y = 124 + 124 = 248
Which is more likely to happen?
1. When reaching into a dark closet and pulling out one shoe from a pile of 20 pairs
shoes, you pull out a left shoe.
2. When listening to a playlist which has 5 songs on it-in shuffle mode, the first song on
the playlist plays first.
2.2
How Likely Is It?
1. Label each event with one of these options:
impossible, unlikely, equally likely as not likely, certain
a. You will win grand prize in a raffle if you purchased 2 out of the 100 tickets.
What is the total surface area of a square pyramid with a base length of 10 meters and a slant height of 13 meters?
Answer:
379 (Rounded to nearest whole)
A = a² + 2a [tex]\sqrt{\frac{a^2}{4} + h^2}[/tex]
= 10² + 2 × 10 × [tex]\sqrt{\frac{10^2}{4} + 13^2 }[/tex] ≈ 378.57
solve the inequality -28n is less than or equal to 7
Answer:
n >= -1/4
Step-by-step explanation:
Divide both sides by the same factor, and flip the relation because the factor is negative
-28n/-28 >= 7/-28
Simplify,
Cancel terms that are in both the numerator and denominator.
n >= 7/-28
Divide the numbers.
n >= 7/-28 = n >= -1/4
The answer is n >= -1/4
Hope this helps!
what is the value of x?
Answer:
x = 30
Step-by-step explanation:
The sides of the [tex]\triangle[/tex] formed by chord and two radii are equal.[tex]\implies [/tex] measure of each angle of the[tex]\triangle[/tex] is 60°.[tex]tangent \perp radius [/tex] (By tangent theorem)[tex]\implies m\angle[/tex] at point of contact of tangent and radius is 90°-> x° + 90° + 60° = 180° (By interior angle sum theorem of a triangle)-> x° + 150° = 180°-> x° = 180° - 150°-> x° = 30°x = 30Which statement is true?
All squares are rhombuses. Rhombuses have 4 right angles. Therefore, all squares have 4 right angles.
Only some squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, only some squares have 4 sides that are the same length.
All squares are rhombuses. Rhombuses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.
Only some squares are rhombuses. Rhombuses have 4 right angles. Therefore, only some squares have 4 right angles.
Answer:
C) All squares are rhombuses. Rhombeses have 4 sides that are the same length. Therefore, all squares have 4 sides that are the same length.
Step-by-step explanation:
Avery solves the equation below by first squaring both sides of the equation.
Answer:
z = 7/3 is extraneous.
Step-by-step explanation:
√(z^2+8) = 1 - 2z
z^2 + 8 = (1 - 2z)^2
z^2 + 8 = 1 -4z + 4z^2
3z^2 - 4z - 7 = 0
3z^2 + 3z - 7z - 7 = 0
3z(z + 1) - 7(z + 1) = 0
(3z - 7)(z + 1) = 0
3z = 7, z = -1
z = 7/3, -1.
One of these might be extraneous.
Checking:
√(z^2+8) = 1 - 2z, if z = -1:
√(1 + 8) = 3, -3
1 - 2(-1) = 3. So its not z = -1
if z = 7/3
√((7/3)^2 + 8) = 13.44
1 - 2(7/3) = -3.66
So its z = 7/3
Answer:
[tex]z=\dfrac{7}{3}[/tex]
Step-by-step explanation:
Given equation:
[tex]\sqrt{z^2+8}=1-2z[/tex]
Square both sides:
[tex]\implies (\sqrt{z^2+8})^2=(1-2z)^2[/tex]
[tex]\implies z^2+8=1-4z+4z^2[/tex]
Subtract [tex]z^2[/tex] from both sides:
[tex]\implies 8=1-4z+3z^2[/tex]
Subtract 8 from both sides:
[tex]\implies 0=-7-4z+3z^2[/tex]
[tex]\implies 3z^2-4z-7=0[/tex]
Rewrite the middle term:
[tex]\implies 3z^2+3z-7z-7=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3z(z+1)-7(z+1)=0[/tex]
Factor out the common term [tex](z+1)[/tex]:
[tex]\implies (3z-7)(z+1)=0[/tex]
Therefore:
[tex]\implies (z+1)=0 \implies z=-1[/tex]
[tex]\implies (3z-7)=0 \implies z=\dfrac{7}{3}[/tex]
To find the extraneous solution (the root that is not a root of the original equation), enter the two found values of z into the original equation:
[tex]\begin{aligned}z=-1\implies \sqrt{(-1)^2+8}&=1-2(-1)\\\implies 3&=3\implies \textsf{true}\\\end{aligned}[/tex]
[tex]\begin{aligned}z=\dfrac{7}{3} \implies \sqrt{\left(\frac{7}{3}\right)^2+8}&=1-2\left(\frac{7}{3}\right)\\\implies \dfrac{11}{3} &=-\dfrac{11}{3}\implies \textsf{false}\end{aligned}[/tex]
[tex]\textsf{As}\: \dfrac{11}{3} \neq -\dfrac{11}{3}\:\textsf{then}\: z=\dfrac{7}{3}\:\textsf{is the extraneous solution}[/tex]
Проект призи нація ( взаємодія між організмами в природі )
Answer:
Біологічні відносини є результатом взаємодії організмів один з одним. У природі немає організмів, які ізольовані від оточуючого середовища.
Missing: Проект призи нація (
Help me please 50 points and brainliest.
The answer is -2
Sure hope this helps you
please answer!!! will give a lot of points and brainliest if i can figure that out
Answer:
[tex]2\sqrt{14}[/tex]
Step-by-step explanation:
To find, do 9^2-5^2=[tex]\sqrt{x\\}[/tex], so 81-25=56 which is 2[tex]\sqrt{14}[/tex]
Answer:
[tex]2\sqrt{14}[/tex]
Step-by-step explanation:
The missing side must be [tex]2\sqrt{14}[/tex] for the Pythagorean Theorem to be true.
Hope it helps, have a fantastic day.
The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle
Answer:
Length of rectangle is 31 yards and Width is 24 yards.
Given:
The length of a rectangle is 7 more than the width. The area is 744 sqaure yardsSolution:
Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.
Using formula
[tex] \\ \: \: \: \: \pink{ \dashrightarrow \: \: \: \: \sf { \underbrace{Area_{(Rectangle)} = Length × Width }}} \\ \\ [/tex]
On Substituting the required values, we get;
[tex]\\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x = 744 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 7x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf {x}^{2} + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf x = 24 \: or \: - 31 \\ \\ [/tex]
As we know that width of the rectangle can't be negative. So x = 24
Hence,
Width of rectangle = x = 24 yardsLength of the rectangle = x + 7 = 31 yards[tex] \therefore[/tex]Length of rectangle is 31 yards and Width is 24 yards.
Find the area of a circle with diameter 31.6 cm, both in terms of π and to the nearest tenth. Use 3.14 for π.
Answer:
784.3
Step-by-step explanation:
3.14(15.8)^2 = 784.3
hope this helped :>
Convert to decimal degrees 43 degrees 25 minutes 36 seconds
Answer:
43.43
Step-by-step explanation:
Convert 25 minutes to decimal degrees by 25/60 = 0.416...=0.42
Convert 36 seconds to decimal degrees by 36/3600 (There are 3600 seconds in a degree) = 0.01
Now you have:
43 degrees, 0.42 degrees. and 0.01 degrees.
Add them all to get 43.43
Highest common factor of 18 and 48
Answer:
the HCF of 18 and 48 is 6Step-by-step explanation:
why?because to calculate then HCF of 18 and 48, we need to factor each numberfactor of 18 is 1,2,3,6,9,18 andfactor of 48 is 1,2,3,4,6,8,12,16,24,48, end choose the highest factor that exactly dividers both 18 and 48 is 6 this is my answerMateo is roasting a chicken. He must make sure the chicken has a minimum internal temperature of 165 degrees so that it is
safe to eat. Using a thermometer, he takes the temperature of the chicken in three random places. The minimum temperature in
the sample is 172 degrees.
Identify the population and the sample. (4 points)
• Population: 165 degrees; Sample: 172 degrees
• Population: 172 degrees; Sample: 165 degrees
• Population: all the chicken meat; Sample: 172 degrees
• Population: three random places in the chicken; Sample: all the chicken meat
• Population: all the chicken meat; Sample: three random places in the chicken
Using sampling concepts, it is found that the population and the sample are given by:
Population: all the chicken meat; Sample: three random places in the chicken.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population.
In this problem, a group of 3 chicken meat is taken from all the chicken meat, which is the population, hence the correct option is given by:
Population: all the chicken meat; Sample: three random places in the chicken.
More can be learned about sampling concepts at https://brainly.com/question/25122507
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with steps pls
7662247+20728678+33807580=
Answer:
7662247+20728678=28290925+33807580=620985505
Can someone please answer this, ill give you brainliest Would be very appreciated.
For the function: y = x² + 4
y intercept: (0, 4)x intercept: Nonevertex: (0, 4)For the function: x² - 4
y intercept: (0, -4)x intercept: (-2, 0) and (2, 0)vertex: (0, -4)For the function: 1 - x²
y intercept: 1x intercept: (1, 0) and (-1, 0)vertex: (0, 1)Conclusion:
green line = x² + 4; blue line = x² - 4; black line = 1 -x²
Answer:
See below ~
Step-by-step explanation:
Equation of Graph A :
No x-interceptsY-intercept at (0, 4)y = x² + 4Equation of Graph B :
x-intercepts at (-2, 0) and (2, 0)y = (x - 2)(x + 2)y = x² - 4Equation of Graph C :
opens downwards ⇒ coefficient of x² is -vex-intercepts at (-1, 0) and (1, 0)y = - (x + 1)(x - 1)y = -x² + 1y = 1 - x²according to "Black Hole Beginnings," the destruction of some stars results in inbursts of light. an intense gravitational pull.a booming nuclear reaction. clouds of gasses.
According to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.
To answer the question, we need to know what Black Holes are.
What are Black Holes?Blackholes are regions of space in which no matter can escape
Characteristics of black holesBlack holes are formed from the remnants of large star that dies in a supernovaAs long as the star is three times or more larger than the sun, it will collapseThe gravitational force on the star causes it to collapse into a black holeSo, when black holes are formed, some stars are destroyed and collapse due to intense gravitational forces.
So, according to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.
Learn more about black holes here:
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A truck moving down a road creates whirling pockets of air called a vortex train. Use the figure to classify the symmetry of a vortex train.
The vortex train has (select)
(select)
translation symmetry
translation symmetry and glide reflection symmetry
glide reflection symmetry
Andrea recorded the points she scored in her last eight basketball games:
28, 32, 47, 16, 40, 35, 38, 54.
Give an example of a statistical question you could answer using the mean or the median. Explain your reasoning.
Which is the explicit rule for the geometric sequence? 10,-30,90,-270,…
an=-1/3n+10
an=10(-3)n-1
an=-10(1/3)n-1
an=-3n
Answer:
the ans is c
Step-by-step explanation:ive done it b4
42 points! Plus a crown if you are right!! PLEASEE HELPP D:
Answer:
x = 9
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here the exterior angles has a measure of 10x + 58° while its opposite interior angles have measures of 6x + 56° and 38°
If an exterior angle of a triangle is equal to the sum of the opposite interior angles then 10x + 58 = 6x + 56 + 38
we now solve for x
10x + 58 = 6x + 56 + 38
==> combine like terms
10x + 58 = 6x + 94
==> subtract 58 from both sides
10x = 6x + 36
==> subtract 6x from both sides
4x = 36
==> divide both sides by 4
x = 9
and we are done! :)
Answer:
x = 9
Step-by-step explanation:
The sum of all the interior angles of a triangle = 180 degrees
one of the angles of the triangle's interior is blank, so to find it we can subtract the exterior angle measure next to it from 180 degrees (a straight line)
38 + (6x + 56) + (180 - (10x + 58)) = 180
Now, we can do our best to simplify and combine like terms:
[38 + 56 + (180 - 58)] + [6x - 10x] = 180
216 - 4x = 180
Now we can subtract 180 from both sides...
36 - 4x = 0
And then add 4x to both sides...
36 = 4x
Now we've manged to isolate x, all that's left is to divide both sides by 4
9 = x
Or
x = 9
Hope this explanation helped! Feel free to ask questions if anything didn't fully make sense!
Solve for m < L
Enter your answer in the box. Round your final answer to the nearest degree.
The cosine is the ratio of hypotenuse and base. Then the measure of the angle ∠L will be 60°.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The right-angle triangle is given below.
The length of the hypotenuse is 16 and the base length is 5.
Then the measure of the angle ∠L will be
cos L = 5 / 10
cos L = 1 / 2
L = cos⁻¹ (1 / 2)
L = 60°
More about the trigonometry link is given below.
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Four inches of snow fell in 3 hours. At that rate, how long would it take for 1 foot of snow to fall?
Answer:
9 hours
Step-by-step explanation:
4 times 3 is 12. Simple multiplication. 3 times 3 is 9. WOW
Answer:
9 hours
The average rate of snowfall here is 4 inches per/hour, so that means we have to multiply the amount of hours by itself to get the answer.
3 × 3 = 9(with 12 inches of snow fell total, equaling 1 foot)
The box plot below represents some data set. What is the value of the median?
Answer:
80
Step-by-step explanation:
Look at the box plot and look at each line.
The first line that is all the way to the left, that is the Quartile 1.
The last line all the way to the right, that is Quartile 3.
Now lets look at the box part.
The beggining of the box is the minimum.
The ending of the box is the maximum.
The middle line is the median.
How I remember it is Median=Middle
Hopw this hels :D