Answer:
36.5 cm
Step-by-step explanation:
The Adjacent leg is 36.5 cm
What are trigonometric functions?"The trigonometric functions (also called circular functions, angle functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
What is hypotenuse, opposite and adjacent side of a right angled triangle?"In a right angled triangle, the hypotenuse is the longest side, an opposite side is the one across from a given angle, and an adjacent side is next to a given angle."
We have
Hypotenuse (AB) = 58 cm
Angle θ = 51 degree
From the figure, by using trigonometric functions
Cos θ = [tex]\frac{BC}{AB}[/tex]
we have to find BC
Cos [tex]51^{0}[/tex] = [tex]\frac{BC}{AB}[/tex]
We have, AB = 58 cm
BC = AB cos [tex]51^{0}[/tex]
⇒BC = 58 . cos [tex]51^{0}[/tex]
⇒BC = 36.50 cm
⇒BC = 36.5 cm
Hence, Adjacent leg is 36.5 cm
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what’s the domain of this relation?
Answer:
there is nothing here but thanks for the points
Step-by-step explanation:
Have a great rest of your day/night!
Arsenic is an element that occurs naturally in groundwater, but a mean greater than 8.0 parts per billion indicates that the groundwater has been contaminated. Local officials are concerned about a well in an area of the city near a factory. On 50 consecutive days, water was randomly sampled from the well. Assume the water in the well has a mean arsenic level greater than 8.0 ppb. Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
Answer:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
a correct decision.
Step-by-step explanation:
Since there is enough evidence to conclude that the mean level of arsenic is greater than 8.0 ppb, the correct decision has been made. There is no type I or type II error. The type I error (called a false positive) occurs if we reject the null hypothesis when it is true. Since we have simply rejected the null hypothesis when the alternate hypothesis is true, and the null hypothesis should be rejected, a correct decision has been made.
Answer:
decision
Step-by-step explanation:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made decision
State the Limits Rule and explain what it means
Answer:
The limit of a sum is equal to the sum of the limits.
Step-by-step explanation:
The limits of a constant times a function is equal to the constant times the limit of the function.
If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?
Answer:
93.75 miles if im not mistaken
Step-by-step explanation:
because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.
Pls Help! Put a proper answer! And do not put a link or I will report you!
Two times the sum of a number, x, and 9 is at most four times the number. Write and solve an inequality to find the value of the number.
Answer:
2(x+9)≤4x
Step-by-step explanation:
2x+18≤4x
-18 -18
2x≤4x-18
-4x -4x
-2x≤18
/-2 /-2
x≥9
look at pic 10 pts will mark brainilest
Answer:
42in²
Step-by-step explanation:
So, it's area time, the formula for the area of a trapezoid is (base + base) ÷ 2 x height, so:
5 + 9 = 14
14 ÷ 2 = 7
7 x 6 = 42
So the area of the trapezoid is 42in²
hope this helps:)
What is the probability of correctly guessing at random exactly 5 correct answers?round your answer to the nearest whole number.
A)5%
B)15%
C)45%
D)75%
Answer: There are 20 sets of numbers in the picture, one set is all 1's, which would be having all 5 answers correct.
Divide 1 by 20 to get 5%.
The answer is A.
Step-by-step explanation:
help please , i need it asap ! ty
Answer:
7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5
I need step by step answer to my question
Step-by-step explanation:
what is your questions
Answer:
The answer would be 13.5 pints
Step-by-step explanation:
when you do 2 gallons - 2 pints you get 1.75 gallons
then when you do 1.75 - 1 cup you get 13.5 pints
Simplify -3(3x^2+2y-5)-2(x^2-3x)
Answer:
=7x^2+6x+6y-15
Step-by-step explanation:
Answer:
[tex]-11x^2 + 6x - 6y + 15[/tex] will be your answer!
Step-by-step explanation:
[tex]-3(3x^2 + 2y - 5) -2(x^2-3x)[/tex]
[tex]-9x^2 - 6y + 15 - 2x^2 + 6x[/tex]
[tex]-11x^2 + 6x - 6y + 15[/tex]
Sorry if I took too long to answer.
PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches
Answer:
D. 16 in²Steps:
given:
V = 32 in³
h = 2
Ab = V/h
Ab = 32/2
Ab = 16 in²
Answer:
D. 16 square inches
Step-by-step explanation:
Hope this helps
Mrs Lee is setting up chairs for a band concert. The front row will have ten chairs. Thereafter each row will have four more chairs than the front row in front of it. Mrs Lee knows that there will be five rows. How many chairs will she need?
Finish the problem yourself :) What is the length of the c? 225 = c^2
Answer:
c= 15
Step-by-step explanation:
c^2 = 225
(square root both sides)
c= square root of 225
c= 15
If the diameter of a circle is 8, then what is its area and its circumference?
Answer:
A≈50.27
Diameter = 8
Using the formulas
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·82≈50.26548
Answer:
I think it would be 50.24
Step-by-step explanation:
Here's what I did:
1. Diameter = 8 so radius = 4
2. 4 to the second power is 16
3. 16 × 3.14 = 50.24
I'm not sure if what I did is correct, but I hope this helps! :)
I need a tutor like ASAP because my mom is going to kill me.
Answer:
Ask you school if they have free tutoring. A lot of schools use the honor students to tutor kids that need help in school.
Step-by-step explanation:
Natalie is almost always on time for class. In fact, the probability that she is on time for a given class is 90%. If there are 50 classes during the semester, what is the best estimate of the number of times out of 50 that Natalie is on time to class?
Answer:
45 out of 50
Step-by-step explanation:
First, 90/100 x 50 which = 45.
You could also do 5 x 9 which equals 45.
Hope this helps!!
Find the dimensions and maximum area of a rectangle if the perimeter is 52
Answer: l
=
16
,
b
=
10
Explanation:
Step-by-step explanation:
Perimeter of rectangle is
p
=
2
(
l
+
b
)
=
52
,
l
is length and
b
is breadth.
Area of rectangle is
A
=
l
⋅
b
=
160
∴
l
=
160
b
;
∴
2
(
160
b
+
b
)
=
52
or
(
160
b
+
b
)
=
26
or
160
+
b
2
b
=
26
or
160
+
b
2
=
26
b
or
b
2
−
26
b
+
160
=
0
or
b
2
−
16
b
−
10
b
+
160
=
0
or
b
(
b
−
16
)
−
10
(
b
−
16
)
=
0
or
(
b
−
16
)
(
b
−
10
)
=
0
∴
b
=
16
or
b
=
10
If
b
=
16
;
l
=
160
16
=
10
and if
b
=
10
;
l
=
160
10
=
16
The dimension of rectangle is
l
=
16
,
b
=
10
[Ans]
What is the answer ?
7) What is the value of X? (2x + 10) (3x)
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Allison flipped a coin twenty times. She flipped heads 4 times and tails 16 times. What is the experimental probability that Allison will flip heads on her next flip?
The answer choices are:
80%
25%
20%
Please help!!
Answer:
C. 20%
Step-by-step explanation:
4 times out of 20 is 20%
Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.
What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number?
Answer:
166.67 is answer of this question
Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
10 cm
Which is the best estimate of the area of the figure in square centimeters?
where is point b on the number line?
Answer:
i dont know but can you pick me brainiest
Step-by-step explanation:
Find the product. Simplify.
(a + 1)(a –5)=
Answer:
[tex](a + 1)(a - 5) \\ {a}^{2} - 5a + a- 5 \\ {a}^{2} - 4 a- 5[/tex]
whats x value please help
Answer:Step-by-step explanation:
x+46=90
x=90-46
x=44°
A bag of mints has a mass of 50 grams.
How many ounces is that? (1 g = 0.035 oz)
The avoirdupois ounce (exactly 28.349523125 g) is 1/16 avoirdupois pound; given; A bag of mints has a mass of 50 grams.
By conversion of weight we know that ;- [ 1gram = 0.035 oz]
So, 50 gram will be having = [50 x 0.035] ounce
Which is giving our answer to be 1.763 0unce
The avoirdupois system is a weight measurement system that counts weights in pounds and ounces. It was revised in 1959 after coming into usage on a widespread basis in the 13th century AD. By mutual consent, the definitions of the pound and ounce in nations that use the pound as a unit of mass were standardized in 1959.
A system of weights that is generally used in the United States, with the exception of precious metals, stones, and pharmaceuticals, and is based on a pound weighing 16 ounces and an ounce weighing 437.5 grains (28.350 grams).
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A rectangular lawn measuring 24 feet by 16 feet is surrounded by a flower bed of uniform width. The combined area of the lawn and the flower bed is 660 square feet. What is the width of the flower bed?
Answer:
6 feet
Step-by-step explanation:
(24+x)(16+x)=660
384+24x+16x+x²=660
x²+40x-276=0
x`= 6
x```= -46......no serve
Answer......is 6 feet
The width of the flower bed is 6 feet.
What is the area of a rectangle?The area of any shape is the number of unit squares that fit inside it. Here "unit" refers to 1, and a unit square is a square with sides of 1 unit.So the area of a rectangle is the number of unit squares within the bounds of the rectangle.Alternatively, the space occupied around this shape is called the area of the rectangle.The area occupied by the bounding rectangle is called the rectangular area.Area can be defined as the amount of space covered by a plane of a particular shape.It is measured in "number" of square units (square centimeters, square inches, square feet, etc.).The area of a rectangle is the number of unit squares that fit in the rectangle.Examples of rectangles are flat surfaces such as laptop monitors, chalkboards, and canvases.6 feet is the width of the flower bed.
(24+x)(16+x)=660
384+24x+16x+x²=660
x²+40x-276=0
x`= 6
x```= -46 which cannot be the case, therefore 6 feet is the width of the flower bed.
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Please Help me with this thank you
What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.
Answer:
x = 40
Step-by-step explanation:
(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x
0.2x + 24 = 0.8x
0.2x - 0.2x + 24 = 0.8x - 0.2x
24 = 0.6x
0.6x = 24
0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]
x = 40
Answer:
x=40
Step-by-step explanation:
1/5x+24=8/10x
give like denominators
2/10x+24=8/10x
subtract 2/10x on both sides
24=6/10x
divide 24 by 6/10, or multiply by 10/6
x=240/6
refine/simplify
x=40
2. A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the
water and the water rises 3.4 cm. Find the volume of the stone.
Answer:
This answer is A
Step-by-step explanation:
Answer:
Subtraction. 10.6 is your answer.
Step-by-step explanation:
14 - 3.4 = 10.6
subtract the rock's volume from the volume of the water.
