120 in sq. , 260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.
If x and y vary inversely, and x = 8 when y = 1/4, what is y when x = -4?
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12[/tex]
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest hundredth. (the spinner is 1-9)
The probability of spinning a 4, flipping heads, then spinning a 7 is
Answer:
1/162
Step-by-step explanation:
first spin 1/9
land heads 50/50
second spin 1/9
so (9 x 2) x 9
= 162
1
Answer:
1/162 or 0.62 % to the nearest hundredth.
Step-by-step explanation:
Prob(spinning a 4) = 1/9
Prob(spinning a 7) = 1/9
Prob(flipping a head) = 1/2
Required Probability = 1/9 * 1/2 * 1/9
1/162.
Which is the better choice: $1000 deposited for a year at a rate of 4.8% compounded semiannually 19) or at a rate of 4.7% compounded quarterly?
[tex]~~~~~~ \stackrel{\textit{\Large 4.8\% semiannually}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.8\%\to \frac{4.8}{100}\dotfill &0.048\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &1 \end{cases}[/tex]
[tex]A=1000\left(1+\frac{0.048}{2}\right)^{2\cdot 1}\implies \boxed{A\approx 1048.58}~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large 4.7\% quarterly}}{\textit{Compound Interest Earned Amount}}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.7\%\to \frac{4.7}{100}\dotfill &0.047\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &1 \end{cases} \\\\\\ A=1000\left(1+\frac{0.047}{4}\right)^{4\cdot 1}\implies \boxed{A\approx 1047.83}[/tex]
Answer quickly help please !!
Answer:
z = 104°
Step-by-step explanation:
A straight line is 180° which helps us to solve this problem.
180° - 76° = 104°
This means that angle y will be 76° and x will be 104° because of vertical angles.
I need HELP with this question!
Answer:
It will be C
Step-by-step explanation:
Because it says least to greatest and C says 1/2 3/8 5/16 7/16 9/32 15/32 and that is least to greatest there you go
The roof of a tower in a castle is shaped like a cone. The height of the roof is 30 ft, and the radius of the base is 15 ft. What is the area of the roof? What is the lateral area of the roof?
Answer:
The area of the roof: ≈2287.44 ft^2, the lateral area of the roof:≈1580.58 ft^2
Step-by-step explanation:
The area of the roof is computed by the equation of the area of a cone:
A = πr(r + [tex]\sqrt{h^{2}+r^(2) }[/tex])
(r: radius, h: height, πr^2 is the area of the base of the cone, πr[tex]\sqrt{h^{2}+r^(2) }[/tex] is the lateral area of the cone). So:
A = [tex]15\pi (15 + \sqrt{30^{2} +15^{2} } )[/tex] ≈ 2287.44 ft^2.
As I stated earlier, the lateral area of the roof can be computed:
A[tex]L[/tex]=[tex]15\pi \sqrt{30^{2} +15^{2} }[/tex] ≈ 1580.58 ft^2.
The ratio of men to women working for a company is 4 to7. If there are 198 employees total, how many men work for the company
Answer:
Step-by-step explanation:
Sam buys a tent priced at $50 if the sales tax is 5% how much tax will Sam pay
tax will be = 50 x 5% = $2.5
A basket contains 4 pears, 1 pineapple, 5 bananas, 3 oranges, and 2 limes.
vin randomly selects one piece of fruit from the basket. What is the
robability that he selects an orange from the basket?
Answer:
3/15
Step-by-step explanation:
there is 15 kinds of fruit totally
4 + 1 + 5 + 3 + 2 = 5 + 5 + 3 + 2 = 10 + 3 + 2 = 13 + 2 = 15
there are 3 oranges; therefore the bility that an orange will be picked is 3 out of 15
The radius of a circle is 61 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Answer:
Circumference of the circle=383.32cm
Step-by-step explanation:
r= 61cm π = 3.142
Formula for the circumference of a circle=2πr
Therefore;
Circumference=2×3.142×61 = 383.32cm.
Find the area enclosed by the figure
Fastttttt plsssss
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
Find the missing factor.______ x 7 = 2,800
A) 4
B) 40
C) 400
D) 4,000
Answer:
400
Step-by-step explanation:
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{c) \: 400}[/tex]
Help picture below please
Answer:
B. NRS
Step-by-step explanation:
You have to put the letters left to right.
Answer the following math questions thank you math experts
Answer:
1) the connection between 2 or more meausures
2) when the r value is closer to 1 or -1 it is a stronger correlation
3) positive correlation would be height and weight. Taller people tend to be heavier. A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other
Step-by-step explanation:
choose me as brainlyest:)
Help anybody please help me
Answer:
3 units
Step-by-step explanation:
you count how many blocks they are from each other
Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your vehicle averaged 28 mi/gal?
Answer:
29037.036 miles
Step-by-step explanation
There are two possible ways to solve this problem.
The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.
2800/2.70 = 1037.037
This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.
1037.037 x 28 = 29037.036 gallons
The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.
For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.
Set it up like this:
[tex]2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles[/tex]
This allows the equation to be more organized, and you can check your work by canceling the units.
Hope this helps.
Find the value of x in this equation.
Answer: 5
Step-by-step explanation:
Which prism has the greatest volume?
Show Your Work
Sin
12 in
7
85
O ant
Answer:
D, the last prism, with a volume of 512cm^3
Step-by-step explanation:
A: 5 x 7 x 12 = 420
B: 8.5 x 11 x 3 = 280.5
C: 3 x 13 x 11 = 429
D: 8 x 8 x 8 = 512
512 is the biggest. D.
Please let me know if I mis-read any of the numbers - it's quite hard to see.
If you need further explanation, let me know!
- profparis
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer:
y=-2x-2
Step-by-step explanation:
I'm guessing that the question is asking for the equation for slope-intercept for y=mx+b
Why? Well, the the slope formula is rise/run. As you can see, if you look the y-coordinate is consistently going down (negative) by two, and the x-coordinate it is going right by 1 every time and makes a triangle shape. You can actually draw it if you want to. And the -2 would be the y-intercept. (Exactly what it means, where the line means the y-axis)
Hope this helps! I explained this kinda weird but hopefully this is somewhat helpful.
Find the exact length of side a
select a,b,c or d from the pictures, please help!
Answer:
D. 2√3Step-by-step explanation:
The given triangle is right because the side adjacent to 60° angle is half the length of the hypotenuse.
Side a = BC is opposite to ange A, its measure is:
BC/AC = √3BC = AC√3BC = 2√3Correct choice is D
Answer:
[tex]a=2\sqrt{3}[/tex]
Step-by-step explanation:
Side a is the side opposite angle A.
Side b is the side opposite angle B.
Side c is the side opposite angle C.
We have been given the lengths of 2 sides and the included angle.
Therefore, to find side a use the cosine rule.
Cosine rule
[tex]a^2=b^2+c^2-2bc \cos A[/tex]
where:
a, b and c are the sidesA is the angle opposite side aFrom inspection of the triangle:
side b = 2side c = 4angle A = 60°Substitute the given values into the formula and solve for a:
[tex]\implies a^2=b^2+c^2-2bc \cos A[/tex]
[tex]\implies a^2=2^2+4^2-2(2)(4) \cos 60^{\circ}[/tex]
[tex]\implies a^2=4+16-16\left(\dfrac{1}{2}\right)[/tex]
[tex]\implies a^2=4+16-8[/tex]
[tex]\implies a^2=12[/tex]
[tex]\implies a=\sqrt{12}[/tex]
[tex]\implies a=\sqrt{4 \cdot 3}[/tex]
[tex]\implies a=\sqrt{4}\sqrt{3}[/tex]
[tex]\implies a=2\sqrt{3}[/tex]
Therefore, the exact length of side a is 2√3.
Jackson bought cupcakes for his sister's birthday party. 72 out of the 96 cupcakes had sprinkles on top. What percentage of the cupcakes had sprinkles?
Write your answer using a percent sign (%).
How many quarts are in 9 gallons?
Answer:
1 gallon = 4 quarts
4 × 9 = 36
36 quarts are in 9 gallons
10 people put their names into 2 different drawings what is the probability the same person will win both?
Answer:
2/20 chance that they get both the prizes
expand the following
1. ( m+n)(10m-4n)
2.(6x+y)
hope it helps....!!!!!
Help to get the answer
Solve for p.
3(p + 4) = 48
A. 13
B. 12
C. 14
D. 19
Step-by-step explanation:
3 ( p + 4 ) = 48
3p + 12 = 48
3p = 48 - 12
3p = 36
p = 36 ÷ 3
p = 12...
Which function is shown on the graph?
U
T
30
2
2
O f(x) = sino
-14
O f(x) = jcos
OS I
2
ក
O f(x) = -cos
COS
O f(x)=- sin
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
Solve
4x957+8465x563+834
please help i need an answer for my homework
Answer:
the answer should be 477,0457 if x means multiply but if not you are not putting the equation in a correct way
Answer:
4770457
you just need to calculate them
784x44=? Step by step.
Answer:
34496
Step-by-step explanation:
i dont know how 2 explain this but you have to do the traditional way of multiplying PLS MARK BRAINLIEST
The answer to this math question is?
Answer:
58 seconds
Step-by-step explanation:
Very very easy, no formulas or +,- required here.
You can see that the swim times go till 44 on the line, that is the lowest, that means the FASTEST swim time. But we need the slowest swim time. That we can find by finding where does the line end in the right side. We can see it ends between 56 and 60, and if we calculate, then we can find out that the bar in the middle represents 58, so hence, her slowest timing for her swim time is 58 seconds.
So hence, your answer is 58 seconds!
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If you see someone without a smile, give them one of yours!
Thanks!
~MiniMeteorologist~
Have a great day!
:D