Answer: 160.96 and 99.03
Step-by-step explanation:
Number 1:
[tex]tan(61) = \frac{x}{43}[/tex] [tex]tan(61)(43) = x[/tex][tex]160.96 = x[/tex]Number 2:
[tex]tan(57) = \frac{48}{x}[/tex][tex]tan(57)(x) = 48[/tex][tex]x = \frac{48}{tan(57)}[/tex][tex]x = 99.03[/tex]Aliyah $24 to spend on seven pencils. After buying them she had $10.how much did each Pencil cost?
Answer:
2 dollars
Step-by-step explanation:
24-10=14
7 pencils cost 14 dollars
1 pencil costs 2 dollars
please give me brainliest!!
The market is located at point (−3, −2) on the coordinate graph.
The barber shop is 6 units to the right and 5 units up from the market.
Graph two points on the coordinate grid to show the location of the market and the location of the barber shop.
Answer:
(2,4)
Step-by-step explanation:
Your bill at a restaurant is $28.50. You leave a 16% tip. What is your final bill?
A.$4.56
B.$33.06
C.$23.94
D.$44.50
Answer:
$ 33.06
Step-by-step explanation:
I Hope this helps :))))
Find the sum of 24/5 + 13/9
help me please!!!!!!
==========================================================
Explanation:
Recall that sine is the ratio of opposite over hypotenuse.
For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.
So,
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 24/40
sin(C) = (8*3)/(8*5)
sin(C) = 3/5
If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.
Answer:
Step-by-step explanation:
Solution
Here,
H=40
P=32
B=24
Now,
sinC=p/h
=32/40
=4/5
Where, 4 is perpendicular and 5 is hypotenuse.
Hope it helped you.
Plz mark me brainliest.
The function t relates the age of a plant fossil in years to the percentage c of carbon remaining in the fossil relative to when it was alive.
t(c)=-3970.9(ln c)
Use function t to complete the statements.
A fossil with 47% of its carbon remaining is approximately how old
1. 2998
2 11,910
3 7550
A fossil that is 7000 years old will have approximately
1. .2%
2. 57%
3 17%
Of its carbon remaining.
Answer: For plato family
A fossil with 47% of its carbon remaining is approximately how old
2998
A fossil that is 7000 years old will have approximately
17%
Step-by-step explanation:
HELP PLEASE ASAP!!!!!
Answer:
1 1/2 cups of flour :))
Step-by-step explanation:
Answer:
2 5/8 cups ur welcome
you convert 1 3/4 to improper fraction so 7/4. then divide 7/4 by 2 which is 0.875. 0.875+7/4= 2.625 which is 2 2/3.
Gareth 30 students in a class and the ratio of boys to girls in the class is 2:3 calculate the number of goals
Answer:
There are 12 boys and 18 girls
Step-by-step explanation:
Equations
There are 30 students in a class. Let's call:
x = number of boys
Since the sum of boys and girls is 30:
30 - x = number of girls
The ratio of boys to girls is 2:3, thus:
[tex]\displaystyle \frac{x}{30-x}=\frac{2}{3}[/tex]
Crossing denominators:
3x = 2(30 - x)
Operating the parentheses:
3x = 60 - 2x
Adding 2x:
5x = 60
Dividing by 5:
x = 60/5 = 12
x = 12
There are 12 boys and 30-12=18 girls
Please help! Or if someone can explain how to find the answer
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Answer: x = 20
All this is exaple hople it help
An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.
After how many seconds does he reach the water?
What domain makes sense for this scenario?
Answer:
-4.9x²+75x=-4.9x+50x+38
75x=50x+38
25x=38
x=1.52
1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters
Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.
102.7 meter.
Step-by-step explanation:
−2y−8+4yminus, 2, y, minus, 8, plus, 4, y
Answer:
a number 12
Step-by-step explanation:
duh bro
(x-8)2 – 7 = 25
Factored
Answer:
x = 8 ± 4√2
Step-by-step explanation:
(x - 8)² - 7 = 25
Add 7 to both sides.
(x - 8)² = 32
Take the square root for both sides.
x - 8 = ±√32
Add 8 to both sides.
x = 8 ±√32
Simplify √32
√32 = √16 · √2
√32 = ±4√2
x = 8 ± 4√2
Pls pls pls help ,,,,,,,,
Answer:
72 (d)
Step-by-step explanation:
I did the math
Sharon bought 6 new folders for $1.15 each and 15 pens that were priced at 5 for $4.75. What is the total amount she spent?
Answer:
$21.15
Step-by-step explanation:
6 x 1.15 = 6.9 (because we're working with money, we'll add a zero at the end for the ones place) = 6.90
15/5 = 3 then 3 x 4.75= 14.25
14.25 + 6.90 = 21.15
Hope this helped <3
Answer:
$21.15
Step-by-step explanation:
Total Folder Amount: $1.15 • 6 = $6.90
Total Pen Amount: $4.75 • 3* = $14.25
*She bought 15 pens. The pens were 5 pens for $4.75. 15÷5=3*
$14.25 + $6.90 = $21.15
What is the probability of picking one blue marble out of a bag containing 4 red, 5
blue, and 1 yellow marble?
Answer: 50:50
Step-by-step explanation:
Add One-seventh + 1One-fifth.
pls hurry
Answer:
0.14084507042
Step-by-step explanation:
lmk if u want the 1/4 or 5/5 like taht pig
Answer:
12/35
Step-by-step explanation:
1/7 + 1/5
Find a common denominator:
35
Multiply the top and bottom to get that denominator:
1/7 * 5/5 = 5/35
1/5 * 7/7 = 7/35
Add the numerators:
7+5=12
12/35
What is the constant term in the expression?
15a + 10b + 5 – 7b
Answer:
5
Step-by-step explanation:
15a , 10b , and -7b are coefficients.
9. Ricardo rides his bike between 90 and 120 miles over a 5 day period. Which is a
reasonable number of miles Ricardo rides each day?
a 13
b. 17
C. 22
d. 25
The table shows the proportional relationship y=kx. Which is the unit rate,k?
Pls help
Answer:
[tex]k=\frac{4}{7}[/tex]
Step-by-step explanation:
The equation [tex]y=kx[/tex] represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any [tex](x,y)[/tex] coordinate into this function to get [tex]k[/tex].
Using the first coordinate, we have:
[tex]4=k(7),\\k=\frac{4}{7}[/tex]
Verify that [tex]y=kx[/tex] works for the other coordinates [tex]\checkmark[/tex]
Thus, the value of constant [tex]k[/tex] is [tex]\fbox{$\frac{4}{7}$}[/tex].
The dimensions of a cylindrical water tank are shown below.
18 yd
o
58,320 yd
3,240 yd
60 yd
O
19,440 yd
15,270 yd3
Which of the following is the best estimate of the volume of
this water tank?
please help asap!!!!
Does anyone know which one is the right answer
Answer:
Number 2 is incorrect
Step-by-step explanation:
The correct answer would be line CA is congruent to line ZX
It costs $237.00 to buy beef to make 290 meatballs. What will the cost be to make 120 meatballs?
Answer:
$98.07
Step-by-step explanation:
Divide 237 by 290 to get the unit price of each meatball
237 / 290 = 0.8172413793
Multiply 0.8172413793 by 120 to get the total cost to make the meatballs
0.8172413793 * 120 = 98.068965516
Round that number to the nearest hundredth
Answer: $98.07
If f(x) = 2x + 1, and
g(x) = x – 3, then
f(g(x)) = [ ? ]x + [ ]
Answer:
f(g(x))=2x-5
Step-by-step explanation:
f(g(x))=2(x-3)+1
Pls help meeeeeeee pls pls pls
Answer:
D. [tex]\frac{4x^{2} \sqrt{29}}{29}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex]
divide by the common factor to have;
[tex]\frac{4\sqrt{x^{12} } }{\sqrt{29x^{8} } }[/tex] = [tex]\frac{4(x^{12}) ^{\frac{1}{2} } }{(29x^{8}) ^{\frac{1}{2} } }[/tex]
= [tex]\frac{4x^{6} }{\sqrt{29}x^{4} }[/tex]
= [tex]\frac{4x^{2} }{\sqrt{29} }[/tex]
Rationalize the denominator, we have;
[tex]\frac{4x^{2} }{\sqrt{29} }[/tex] x [tex]\frac{\sqrt{29} }{\sqrt{29} }[/tex]
So that,
[tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
Thus,
[tex]\frac{40x^{2} \sqrt{x^{12} } }{10x^{2} \sqrt{29x^{8} } }[/tex] = [tex]\frac{4x^{2} \sqrt{29} }{29}[/tex]
The correct option is D.
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
a contractor hired 150 men to pave a road in 30 days how many men would he hire to do the same work in 10 days
Answer:
750 men
Step-by-step explanation:
150 divided by 3 equals 5
5 times 150 equals 750
so it will take 70 men in 10 days
SOMEONE HELP PLEASE!!!
Help please!
Identify a set of parallel and a set of perpendicular lines in this image.
Answer:
Option 1.
(I don't really have any explanation to add on)
Answer:
the 3th option
Step-by-step explanation:
hope it help you
(2,3)
(3,2)
(3,4)
(3,-2)
Answer:
(3,2)
Step-by-step explanation:
Right now point A is at the coordinates (3,2)
When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.
So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)