Answer:
10
Step-by-step explanation:
Round both numbers to the nearest tens place.
98.7 rounds up to 100
10.1 rounds down to 10
100/10=10
Prove the following identity
sin x(sec x+cscx)= tan x +1
Answer:
Step-by-step explanation:
________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
[tex]\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}[/tex][tex]\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}[/tex][tex]\tan x = \frac{\sin x}{\cos x}[/tex]________________________________________________________
In the question ,
L.H.S. = [tex]\sin x (\sec x + cosec \: x)[/tex]
R.H.S. = [tex]\tan x + 1[/tex]
Lets solve L.H.S. first.
[tex]\sin x (\sec x + cosec \: x)[/tex]
[tex]=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )[/tex]
[tex]=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}[/tex]
[tex]=> \tan x + 1[/tex]
∴ L.H.S. = R.H.S. (Proved)
A bowl contains equal-sized gumdrops. If the bowl has 30 green gumdrops and 1 blue gumdrop, plot an X on the number line below which could represent the probability of randomly choosing a green gumdrop from the bowl.
Explain how you determined your answer.
Answer:
≈ 0.97
Step-by-step explanation:
Given that :
Number of green gum drops = 30
Number of Blue gum drops = 1
Total number of gum drops :
(Number of blue + number of green gum drops)
(30 + 1) = 31
Probability = Required outcome / Total possible outcomes
P(green gum drops) = number of green drops / total number of gum drops
P(green gum drops) = 30 / 31 = 0.967 ≈ 0.97
The point x will be drawn slightly to the right of the midpoint between the last two tick marks.
The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height
is 25 centimeters and its base length is 16 centimeters. What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
0600 square centimeters
O 300 square centimeters
O 150 square centimeters
160 square centimeters
Answer:
150 square centimeters
Step-by-step explanation:
Area of a triangle:
The area of a triangle is the multiplication of 0.5, the base length and the height length.
What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
[tex]A = 0.5*20*15 = 10*15 = 150[/tex]
The area of the triangle is 150 square centimeters.
what is the least common denomimator for 1/3 and 1/2
Answer:
its equals 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
hi can someone help me with math?:
Evaluate the expression x + 12, if x = 4
options:
1. 18
2. 8
3. 16
4. 48
Answer:
4+12= 16 so answer 3
Step-by-step explanation:
put four in place of x
Answer:
3. 16
Step-by-step explanation:
x=4
therefore x is worth four so we can replace x with the number 4
4+12
4+12=16
PLEASE HELP ME!
20 points and brainlist.
Answer:
greatest common factor
Answer:
Greatest common factor
Step-by-step explanation:
You need the upside down birthday cake method to find prime numbers and gcf
Give the Domain and Range of the following function.
2
2
4
6
O Domain: 2 < X < 6, Range: 4
o Domain: 1 <3 < 6, Range: 1
O Domain: 0 < x < 7, Range: 1
O Domain: 1 < x < 7, Range: 1
Answer:
Domain: 1 ≤ x ≤ 6, Range: 1 ≤ y ≤ 7
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true?
Check all that apply.
The bases are congruent.
The solids are similar.
The ratio of the volumes of the first solid to the second solid is 8:1.
The volume of the first solid is twice as much as the volume of the second solid.
If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.
Answer:
First rectangular solid and second Rectangular solid
1. Bases are in the form of square having same dimensions
2. Height of first rectangular solid=2 ×Height of second rectangular solid
The true statements are
A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.
(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .
(D) Volume of first solid = x *x*2 H=2 x²H
Volume of second solid = x*x*H=x²H
Ratio of volumes =2:1
So, option (D) is true.
(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]
=2[x²+4 H*x]=2 *x*[x+4* H]
Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]
Option A, D, E are correct about two solids.
Step-by-step explanation:
Answer:
a, d, e
Step-by-step explanation:
need help answering
What the distance between (1,-9) and (6,-6)
Answer:
8 units for 1, -9
6 units for 6, -6
Step-by-step explanation:
Which shape has more sides than a quadrilateral? A. regular hexagon B. regular quadrilateral C. regular triangle D. rhombus
Answer: A regular hexagon.
Step-by-step explanation:
if a 30 foot rope is divided into 1/4 of a foot pieces how many pieces of rope are there
Answer:
7.5 is the answer to this
ate has $800 in his checking account. He wants to spend part of this money on a computer. He wants to have at least $350 left in his checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Nate can spend on the computer.
t plus 350 symbol 800
Which inequality represents all possible values of t?
Answer:
450 dollars
Step-by-step explanation:
I need to find the surface area of this prism
Answer:
264ft³
Step-by-step explanation:
2[(8*6)+(6*12)+(12*8)]
=264
Please help for today
Answer:
football and soccer looks right :)
Step-by-step explanation:
need help geometry question central angles and arcs ??? pls help
Answer:
45°
Step-by-step explanation:
180 (half a a circle) + 135 = 315
360 - 315 = 45
PLEASE HELP, WILL GIVE BRAINLIEST!!!!!!!!
Using rules, we can simplify expressions with exponents, factorize, or expand them. [tex]2 x \sqrt{10 x}-2 x \sqrt{5}.$[/tex] Thus option D is correct,
What is the exponents and algebraic manipulation?We can simplify the expression using the rules of exponents and algebraic manipulation.
[tex]$\sqrt{5 x}\left(\sqrt{8 x^2}-2 \sqrt{x}\right) = \sqrt{5 x} \cdot \sqrt{8 x^2} - 2\sqrt{5 x} \cdot \sqrt{x}$[/tex]
[tex]$= \sqrt{(5x)(8x^2)} - 2\sqrt{(5x)(x)}$[/tex]
[tex]$= \sqrt{40x^3} - 2\sqrt{5x^2}$[/tex]
[tex]$= \sqrt{4x^2 \cdot 10x} - 2x\sqrt{5}$[/tex]
[tex]$= 2x\sqrt{10x} - 2x\sqrt{5}$[/tex]
Hence, the simplified product where [tex]$x \geq 0: \sqrt{5 x}\left(\sqrt{8 x^2}-2 \sqrt{x}\right)$ is $2 x \sqrt{10 x}-2 x \sqrt{5}.$[/tex]
Therefore, Using rules, we can simplify expressions with exponents, factorize, or expand them. the correct option is $(D) [tex]2 x \sqrt{10 x}-2 x \sqrt{5}.$[/tex]
Learn more about algebraic here:
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how do you factor 14xy + 21x
Answer:
7x(2y+3)
Step-by-step explanation:
listen to cooties by melanie martinez and tell me what u think
Answer:
Okie doki
Step-by-step explanation:
Answer:
or ask something school related or get off of here
Step-by-step explanation:
which is equivalents to 9/8
Answer:
12
Step-by-step explanation:
Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56
a cylinder had a diameter of 17 cm and a height of 11 cm. ehat is the volume of the cylinder
Answer:
2496.78
Step-by-step explanation:
Please help is for noww
Answer:
25¢
Step-by-step explanation:
Answer: Answer: $0.25
Step-by-step explanation:
Let x be the total money was in her wallet and m be the cost of each petunia,
From the given table , the money left in wallet after purchasing 2 petunia =$6.50
Then we have the following equation: 6.50 = x - 2m - - - - - ( 1 ) Also, the money left in wallet after purchasing 8 petunia =$5 Then, we have 5 = x - 8m - - - - - - - - - ( 2 ) Subtracting (2) from (1) , we get 6.50 - 5 = -2m - (8m) then -2m + 8m = 1.50 then we 6m = 1.50. m = 1.50/6 = 0.25 hope this helped.
What is the y-intercept of the line whose equation is:
6x + 2y = 4
A.1
OB. 2
O C.4
D. 6
Answer:
2
Step-by-step explanation:
Use the intercept method. Where is y when x = 0?
The estimated regression equation by least squares method minimizes the sum of the Group of answer choices Absolute deviations between actual and predicted y values Differences between actual and predicted y values. Squared differences between actual and predicted y values None of the choices Absolute deviations between actual and predicted x values.
Answer:
Squared differences between actual and predicted y
Step-by-step explanation:
The least squares regression method used in predictive modeling for linear regression models produces a best fit line which will minimize the square of the mean difference between the actual and projected or predicted values of the dependent, y variable. Hence, the when the sum of the squared value of the difference between the actual and predicted values (residual) are taken, the fit which gives the minimum sum of squared value is the best fit line upon which the estimated regression equation is based.
The true statement is that the estimated regression equation by least squares method minimizes the sum of the (c) Squared differences between actual and predicted y.
In regression, the least square method is used to estimate quantities.
This is done in order to minimize the sum of the squares of the differences between the observed values and the estimated values.
In this case, the observed value and the estimated values represent the actual and predicted y
Hence, the true statement is that the estimated regression equation by least squares method minimizes the sum of the (c)
Read more about least squares method at:
https://brainly.com/question/25927487
What is 70000% + 8100000
Answer:
8100700
Step-by-step explanation:
I used a calculator
Could you pls mark me brainliest I only need one more
Answer:
8100700
hop i helped look at my drawing
Step-by-step explanation:
The perimeter
particular rectangle is
36 centimeters. The longer sides of the rectangle are
cach 2 centimeters longer than each of the shorter sides
of the rectangle. What is the length, in centimeters, of
one of the longer sides of this rectangle"?
Answer:
Long side of the rectangle: 11cm
Shorter side of the rectangle: 7cm
Step-by-step explanation:
36cm divided by 4 = 9
9-2=7
take that two and add it to the other two nines
9+2=11
The required length of the longer sides of rectangle is 10cm.
The perimeter of the rectangle is 36 centimeters,
length = 2+ width
rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.
Perimeter = 2 length x 2 width
36 = 2(2+width) x 2width
36= 4 (1+width)
width = 8
length= 2+width
length = 2+ 8
length = 10 centimeters
Thus, The required length of the longer sides of rectangle is 10cm.
Learn more about rectangles here:
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Question 6 of 25
Which expression gives the area of the triangle shown below?
A. ac
O Box
OC. (*)
OD (aco)
SUBMIT
Answer: 1/2 cx
Step-by-step explanation: I did the quiz
what is the perimeter write your solution
Answer: 88in
Step-by-step explanation:
As he has doubled the sides, the length would now be 24 and the width would be 20.
So then, to work out the perimeter you have to add up all of the sides.
24+24+20+20=88in
Hope this helps :)
What are the answers to question 1 and 3 PLZZ HURRRYYY
Step-by-step explanation:
1. Since ark MN is equal in length with ark PQ, line MN=PQ
So 4x+10=38
4x=38-10
4x=28
x=28/4
x=7
3. Same thing so we equate the two parameters
5x-7=3x+2
2x=9
x=9/2
x=4.5
4. The length of a leg of a right triangle is 12 inches
and the hypotenuse is 17 inches long. What is
the length of the other leg?
Answer:
12.04
Step-by-step explanation: