Answer:
a is 39
b is 57
Step-by-step explanation:
you were given two different expressions to substitute.
the first one is p = 8 and d = 1/7
so we substitute into 5p - 7d
that is 5(8) - 7(1/7)
we get 40 - 1
which if we go ahead to evaluate we get 39
The second one p = 3 and d = -6
so we get 5(3) - 7(-6)
we get 15 - (-42)
if we go ahead to evaluate we get 15 + 42
two negative meeting each other gives you positive.
then it going too be 57
Learning Task 1: Read and solve the following problems. Use the 4-Step Plan by supplying the needed information in each letter below. 1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the 2 parallel sides is 8 meters. What is the area of the lot? 2. A triangular landscape has a base of 24 meters and a height of 12 meters. Find its area. 3. A trapezoidal lawn has an upper base of 16 meters and a lower base is 30 meters. The distance between the parallel bases is 10 meters. If the lawn is to be planted with Bermuda grass, how many square meters of Bermuda grass will be needed 4. A rectangular banner has a length of 5 meters and a width of 3 meters. Find the area. 5. What is the area of a soccer ground square in shape with a side of 8 meters? A = G= O= N= S = och sa A= och *You will use the letters in each problem above
The area of the lot with a shape of a parallelogram if its base measures 20 meters and the distance given is 160m².
How to calculate the area?Area of a parallelogram will be:
= Base × Height
= 20 × 8
= 160m²
The area of the triangular landscape that has a base of 24 meters and a height of 12 meters will be:
= 1/2 × base × height
= 1/2 × 24 × 12
= 144m²
The area of the trapezium will be:
= 1/2 × (a + b) × h
= 1/2 × (16 + 30) × 10
= 1/2 × 46 × 10
= 230m²
The area of the rectangular banner has a length of 5 meters and a width of 3 meters will be:
= Length × Width
= 5 × 3
= 15m²
The area of a soccer ground square in shape with a side of 8 meters will be:
= 8 × 8
= 64m²
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given: tangent TA is parallel to KM. Prove: KS = MS
When tangent TA is parallel to KM, it can be proved that KS = MS since they're congruent.
How to prove the tangent?It should be noted that when the tangent line TA is parallel to chord KM, it simply means that segment KS and MS are congruent.
Therefore, since they're congruent, SKM and SMK are equal. By the theorem of inscribed angle, we will have:
SKM = 1/2m(MS)
SKM = 1/2m(KS).
Since SKM = SMK
1/2m(MS) = 1/2m(KS).
MS = KS
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Find the value of b,c, and d.
Answer:
b = 25 degrees
c = 81 degrees
d = 64 degrees
7n = 7; n=0 solution or not a solution
Answer:
No
Step-by-step explanation:
Plugging in n=0 into the equation gets us:
7(0) = 7
0 = 7
This says that 0 = 7 which is not true
Given two side lengths of a triangle (4cm and 17cm), find a range of possible lengths for the third side.
Check the picture below.
so notice the top part of the picture
if we move the "4" and "17" sides close to each other, till one is on top of the other, the side in red, can never be less than 17 - 4, or 13, it cannot be 13 either, because then both lines will be on on top and we wouldn't have a triangle just a flat-line, so whatever the red line is, it must be more than 13.
notice the bottom part of the picture
if we separate the "4" and "17" sides, and lay them flat, the most the red side can be is 4 + 17 or 21, it can never be greater than 21, it can't be 21 either because if we lay "4" and "17" flat, we lose the triangle and all we'd have is a flat-line. So whatever the red side is, must be less than 21.
A certain flight arrives on time 80
percent of the time. Suppose 131
flights are randomly selected. Use the normal approximation to the binomial to approximate the probability that
(a) exactly 103
flights are on time.
(b) at least 103
flights are on time.
(c) fewer than 98
flights are on time.
(d) between 98
and 117
,
inclusive are on time.
Answer:
B at least 103 flights are on time. :)
Step-by-step explanation:
First we need to turn the percentage into a decimal :)
131 x 0.80 = 104.8
The answer should be B at least 103 flights are on time.
Have an amazing day!!
Please rate and mark brainliest!!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Recall: SOHCAHTOA
Sin M = Opp/Hyp
Reference angle = M
Opp = 3√/21
Hyp = 15
Sin M = (3-√21)/15
Sin M = √21/5
Cos M = Adj/Hyp
Reference angle = M
Adj = 6
Hyp = 15
Cos M = 6/15
Cos M = 2/5
Tan M = Opp/Adj
Reference angle = M
Opp = 3√21
Adj = 6
Tan M = (3√21)/6
Tan M = √21/2
:Therefore: Sin M = √21/5
Cos M = 2/5
Tan M = √21/2
Answer:
[tex]\sf \sin M=\boxed{\dfrac{\sqrt{21}}{5}}[/tex]
Step-by-step explanation:
Trigonometric ratios
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseGiven:
[tex]\theta[/tex] = MO = 3√21A = 6H = 15[tex]\sf \sin M=\dfrac{3\sqrt{21}}{15}\quad\cos M=\dfrac{6}{15}\quad\tan M=\dfrac{3\sqrt{21}}{6}[/tex]
[tex]\implies \sf \sin M=\dfrac{3\sqrt{21}}{15}=\dfrac{\sqrt{21}}{5}[/tex]
The rectangles are similar Find X.
The solution is Option A.
The value of x is given from proportion and x = 10 1/2 or x = 10.5
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the first rectangle be A
The dimensions of the rectangle A = 4 by 3
Let the second rectangle be B
The dimensions of the rectangle B = 14 by x
The two rectangles A and B are similar , so
Now , the proportion equation will be
3 / 4 = x / 14
Multiply by 14 on both sides of the equation , we get
x = ( 14 × 3 ) / 4
x = 42/4
x = 10.5
The value of x = 10 1/2
Therefore , the value of x is 10 1/2
Hence , the value of x of the rectangle is 10 1/2
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Find the area of the shaded shape. Write the area in square units
Answer:
length times width equals area LxW=Area
Step-by-step explanation:
so,
4 times 4= 26 yards
1=4 square yards
then 26X4 = 104 square yards
Answer:
Step-by-step explanation:
I just made a purchase of $130.00 but once I got my car and looked at the receipt, I realized the salesperson who helped me did not apply the 15% discount
Answer:
Guessing you want me to figure out what your cost should have been. On it!
Step-by-step explanation:
130 * .15 = 19.5
130 - 19.5 = $110.5
That should be the new cost.
The price of the thing after applying 15% discount is $110.50.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
The price at which thing is purchased = $130.
Since, The salesperson forgot to give a discount of 15%.
The discounted price = 130 x 15 %
= 130 x 15/100
= 1950/100
= $19.5
The price after discount = 130 - 19.5 = 110.5
The required price after discount is $110.5.
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Solve the equation by factoring. 2x^2 = 28 – x
x = –3.5 or x = 4
x = 2 or x = –7
x = –2 or x = 7
x = –4 or x = 3.5
Answer:
The value of x = 3.5 or -4
Step-by-step explanation:
=> 2x² = 28 – x
=> 2x²+ x - 28 = 0
=> 2x² + 8x - 7x - 28 = 0
=> 2x ( x + 4 ) - 7 ( x + 4 ) = 0
=> (2x - 7 ) ( x + 4 )
=> x = 7/2 = 3.5 or x = -4
Answer:
x = –4 or x = 3.5
Step-by-step explanation:
[tex]2x^{2}=28-x\Longleftrightarrow 2x^{2}+x-28=0[/tex]
[tex]\Longleftrightarrow 2x^{2}-7x+8x-28=0[/tex]
[tex]\Longleftrightarrow x(2x-7)+4(2x-7)=0[/tex]
[tex]\Longleftrightarrow (2x-7)(x+4)=0 \ \ \ \ \text{factor out} \left( 2x-7\right)[/tex]
[tex]\Longleftrightarrow 2x-7=0 \ \ or\ x+4=0\ \ \ \ \text{(zero product rule)}[/tex]
[tex]\Longleftrightarrow x=\frac{7}{2} \ \ or\ x=-4[/tex]
Hey this is math algebra can u guys help?
Answer:
k = 15
Step-by-step explanation:
k + 45 = 60
k = 60 - 45
k = 15
Witch one a b c d e giving brainlest
Answer:
E
Step-by-step explanation:
if the x value or y value is 0 the equation is undefined
NO LINKS!! Find the perimeter of the figure
Answer:
178
Step-by-step explanation:
Perimeter = distance all the way around the outside of a 2D shape
Missing vertical length = 45 - 14 - 17 = 14
Missing horiztonal length = 44 - 8 - 29 = 7
⇒ perimeter = 45 + 8 + 17 + 29 + (45 - 14 - 17) + (44 - 8 - 29) + 14 + 44
= 45 + 8 + 17 + 29 + 14 + 7 + 14 + 44
= 178
Answer:
First finding the perimeter of rectangle
Step-by-step explanation:
Which is 2(17+8)=2(25)=50
Now finding the perimeter of next rectangle
Which is 2(45+29) = 2 (74) =148
Now finding the perimeter of next rectangle
Which is 2(44+14)=2(58)=116
Adding them up we get 116 + 50 +148=314
178 is the correct answer however
I do not why 178 is correct
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEDraw a box between the
A. minimum; maximum
B. first quartile; third quartile
C. second quartile; third quartile
D. first quartile; second quartile
and
Draw a box between the first quartile; third quartile
Find the midpoint M of the line segment joining the points P = (4, 2) and Q = (-6, -8)
Answer:
(- 1, - 3 )
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints, then
midpoint = ([tex]\frac{4-6}{2}[/tex], [tex]\frac{2-8}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-6}{2}[/tex] ) = (- 1, - 3 )
What is the scale factor from ABC to DEF?
Answer:
3
Step-by-step explanation:
3 to get to 15, multiply by 3, same for other sides.
Answer:
C
Step-by-step explanation:
9 divided by 3 is 3, 15 divided by 5 is 3, and 12 divided by 4 is 3. it all adds up to three
What is the equation of this line in slope-intercept form?
y= 3x-1
y = 3x+1
y= - 1/3x-1
y = - 3x-1
Answer:
Step-by-step explanation:
y=-3x-1
The tongue of a giraffe is about 18 inches long. How many centimeters long is it?
Answer:
18 inches is equal to 46 CM rounding or 45.72 CM without rounding.
Please mark brainliest if this helped you :)
Step-by-step explanation:
Pete and his sister, Sophie, play the game Space Mission Commander on their video game
console. Pete has already completed 27 missions. Sophie has only completed 13 missions.
From now on, Pete plans to complete 3 missions per week. Meanwhile, Sophie plans to
complete 5 missions per week.
At some point, Sophie will catch up to Pete. How many weeks will it take? How many
missions each will Pete and Sophie have completed?
Answer:
It will take 7 weeks for Sophie to catch up to Pete. Both of them will each have completed 48 missions.
Step-by-step explanation:
27 + 3x = 13 + 5x
27 + 3x - 3x = 13 + 5x - 3x
27 = 13 + 2x
27 - 13 = 13 + 2x - 13
14 = 2x
x = 7
27 + 3x
27 + 3(7)
27 + 21
48
13 + 5x
13 + 5(7)
13 + 35
48
Which is more, 1 pound or 22 ounces?
Answer:
22 ounces is more
Step-by-step explanation:
1 pound is equal to 16 ounces
Answer:
1 pound
Step-by-step explanation:
1pound=16oz 22oz= 1.375pound
What is the median of the data set 11,13,15,21,23,31,31,33?
A. 31
B. 21
OC. 23
D. 22
Median:
The median in this set is the 5th term.
Therefore the median in this set is 23.
Jerod hopes to earn $1200 in interest in 1.8 years time from $12,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds annually, he needs to determine the annual interest rate such an account would have to offer for him to meet his goal. What would the annual rate of interest have to be?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$\stackrel{12000~~ + ~~1200}{13200}\\ P=\textit{original amount deposited}\dotfill &\$12000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1.8 \end{cases}[/tex]
[tex]13200=12000\left(1+\frac{~\frac{r}{100}~}{1}\right)^{1\cdot 1.8}\implies \cfrac{13200}{12000}=\left( 1+\cfrac{r}{100} \right)^{1.8} \\\\\\ \cfrac{11}{10}=\left(\cfrac{100 + r}{100} \right)^{1.8}\implies \cfrac{11}{10}=\left(\cfrac{100 + r}{100} \right)^{\frac{9}{5}} \\\\\\ \left( \cfrac{11}{10} \right)^{\frac{5}{9}}=\left[ \left(\cfrac{100 + r}{100} \right)^{\frac{9}{5}} \right]^{\frac{5}{9}}\implies \left( \cfrac{11}{10} \right)^{\frac{5}{9}}=\cfrac{100+r}{100}[/tex]
[tex]\sqrt[9]{\left( \cfrac{11}{10} \right)^5}=\cfrac{100+r}{100}\implies 100\sqrt[9]{\left( \cfrac{11}{10} \right)^5}=100+r \\\\\\ 100\sqrt[9]{\left( \cfrac{11}{10} \right)^5}-100 = r\implies 5.44\approx r[/tex]
what is 2/3 - 1/2 = in simplest form
Answer:
1/3
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/3-1/2 = find the denominator 3×2=6
4/6-3/6 = rewrite with a denominator of 6
(4-3)/6 = 1/6 subtract numerators
really need help!! please help me.
Answer:
x=26
Step-by-step explanation:
Since they are complementary
2x+38⁰=90⁰
2x=90⁰-38⁰
2x=52⁰
x=26⁰
I hope it helped you
Answer:
x = 26.Step-by-step explanation:
This is self-explanatory, We just need to find the value of x by doing this:
2x° + 38° = 90°= 2x° = 90° - 38°= 90° - 38°= 52° ÷ 2°= 26°x° = 26°.Brainliest please. I didn't get one on this account.
standard form of 2⋅3⋅7⋅q⋅t
Answer:
42qt
Step-by-step explanation:
First, multiply 2 x 3 x 7
2 x 3 = 6
6 x 7 = 42
Second, q x t
Qt
Third, put together
42qt
Exercise 8: The main stairway in a block of flats has three switches for controlling the lights. Switch A is located at the top of the stairs, switch B is located halfway up the stairs and switch C is positioned at the bottom of the stairs. Design a logic network to control the lights on the staircase.
The logic network to control the lights on the staircase; has been designed as seen below.
How to describe Computer Logic Gates?
The truth table for the required response of the question is;
SWITCH A SWITCH B SWITCH C Y
0(OFF) 0(OFF) 0(OFF) 0(OFF)
0(OFF) 1(ON) 1(ON) 1(ON)
1(ON) 0(OFF) 1(ON) 1(ON)
1(ON) 1(ON) 0(OFF) 1(ON)
1(ON) 1(ON) 1(ON) 0(OFF)
The expression for the output Y in SOP form will be;
A ⊕ B ⊕ C = A⁻B⁻C + AB⁻C⁻ + A⁻BC⁻
That's the output expression for the XOR gate.
Thus, we can conclude that in the staircase wiring, higher output is obtained when two out of three of the inputs are different.
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Somebody dont just tell me the answer but tell me the steps so that i can prove my answer.
Answer:
e. $44.20
Step-by-step explanation:
1. add all of the percentages together and subtract them by 100. this will give the percentage she wasted on food: 17%
2. convert 17% into a decimal: .17
3. multiply 260 by .17 this should give you 44.2
what is 7/8 - 1/2 = in simplest form
Answer:
[tex] \frac{7}{8} - \frac{1}{2} = \frac{7 - 4}{8} = \frac{3}{8} [/tex]
Step-by-step explanation:
I hope I helped you! :)
please help me find the total area of the composite figure below (geometry)
Answer:
lw + [tex]\frac{1}{2}[/tex] × π × [tex](\frac{l}{2} )^{2}[/tex] ⇒ Answer D is correct
Step-by-step explanation:
First, let us find the area of the semi-circle.
Area = [tex]\frac{1}{2}[/tex] × π × r²
Given that,
diameter of the semi-circle is ⇒ l
∴ radius ⇒ l / 2
Let us find it now.
Area = [tex]\frac{1}{2}[/tex] × π × r²
Area = [tex]\frac{1}{2}[/tex] × π × [tex](\frac{l}{2} )^{2}[/tex]
Secondly, let us find the area of the rectangle.
Area = length × width
Given that,
length ⇒ l
width ⇒ w
Let us find it now.
Area = length × width
Area = l ×w
Area = lw
And now let us find the total area.
Total area = Area of the rectangle + Area of the semi - circle
Tota area = lw + [tex]\frac{1}{2}[/tex] × π × [tex](\frac{l}{2} )^{2}[/tex]