Solution :
LHS = 1/(secA -1) + 1/(secA+1)
= [secA+1+secA-1]/[(secA-1)(secA+1)]
= (2secA)/[sec²A-1]
=(2secA)/tan²A
= (2/cosA)/(sin²A/cos²A)
= ( 2cosA)/sin²A
= 2(1/sinA)(cosA/sinA)
= 2cosecAcotA
= RHS
••••
The $2200 was 44/73of the total value of the clothes sold in the shop on this day.
Calculate the total value of the clothes sold in the shop on this day.
Answer:
$1326
Step-by-step explanation:
please mark as brainlyest
Can someone help me on this please
Answer:
[tex]\sqrt[3]{a^2}[/tex]
Step-by-step explanation:
a ^ 2/3
The top is the power and the bottom is the root
[tex]\sqrt[3]{a^2}[/tex]
A scoop of your favorite flavor of jelly bean costs $2.75. The candy bar your friend likes costs $1.25. Which expression represents the total money you spend? Group of answer choices
Figure A is a scale image of figure B. Figure A maps to figure B with a scale factor of 2/7 What is the value of x?
Answer:
42
Step-by-step explanation:
If the scale factor is 2/7 divide 12 by 2 which is 6. 6 is 1/7 and if Figure a is 7/7
multiply 6 by 7 to get x. That would be 42.
Answer:
42
Step-by-step explanation:
Since the scale factor is [tex]\frac{2}{7}[/tex], we know that the bigger shape went to the smaller shape.
If we know that the smaller shape's side, 12, is [tex]\frac{2}{7}[/tex] of the bigger one, we can make the equation
[tex]\frac{2}{7}x = 12[/tex].
To solve for x, we can divide both sides by [tex]\frac{2}{7}[/tex].
[tex]x = 12\div{\frac{2}{7}}[/tex]
We can multiply by the reciprocal:
[tex]\frac{12}{1} \cdot \frac{7}{2} = \frac{84}{2} = 42[/tex]
Hope this helped!
Kandace spent 3/4 an hour putting on her makeup. how many seconds did she spend in front of the mirro?
Answer:
Kandace spent 2700 seconds in front of the mirror
Step-by-step explanation:
3/4 × 60 = 45
She spent 45 minutes on her makeup
If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60
= 2700
I need help I don’t understand this mathhh!!!
Answer:
$67
Step-by-step explanation:
If Chloe spent $67 and now has no money left, that means she only had $67 before her purchase.
please help i need to finnish this!
Answer:
56
Step-by-step explanation:
f(x)=6*x^2+2 =6*3^2+2=56
Answer:
56
Step-by-step explanation:
6(x^2) + 2 = 0replace x = 3 => 6 x (3 ^ 2) + 2 = 56
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A vegetable tray contains 10 red peppers and 4 green peppers. What is the ratio of the number of green peppers to the number of yellow peppers?
A. 4:0
B. 2:5
C. 2:7
D. 4:10
Answer:
4 : 0
Step-by-step explanation:
10 red and 4 green
There are 0 yellow peppers
green: yellow
4 : 0
CAN ANYONE HELP ME WITH THIS QUESTION...Plzz
Answer:
AO and OC
x+8 and 16-x
x+8 = 16-x
x+x= 16-8
2x= 8
x= 8/2
x=4
DO and OB
2y+13 and 5y+4
2y+13 = 5y+4
2y-5y= 4-13
-3y = -9
y= 9/3
y= 3
Step-by-step explanation:
i hope this helps
if this helps let me know
Answer:
Step-by-step explanation:
2y + 13 = 5y + 4 { diagonals of a rhombus bisect each other }
by transposing,
2y - 5y = 4 - 13
-3y = -9
both the minus signs get cancelled,
3y = 9
y = 9/3
y = 3
x + 8 = 16 - x { diagonals of a rhombus bisect each other }
again by substituting,
x + x = 16 - 8
2x = 8
x = 8/2
x = 4
∴ x = 4 and y = 3
hope this helps
plz mark s brainliest!!!!!!!
A baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of$458. How many apples pies did they sell and how many blueberry pies did they sell
The total number of apple pies is 22 and the total number of blueberry pies is 17.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that baker sold apples pies for $10 and blueberry pies for$14. One Saturday they sold a total of 39 pies and collected a total of $458.
Asumme the total number of apple pies be 'x' and the total number of blueberry pies be 'y'.
The linear equation that represents the total number of pies is:
x + y = 39
x = 39- y --- (1)
The linear equation that represents the total amount collected is:
10x + 14y = 458--- (2)
Substitute the value of 'x' in equation (2).
10(39- y) + 14y = 458
y = 17
Then Substitute the value of 'y' in the equation (1).
x = 39 - 17
x = 22
Learn more about equations here;
https://brainly.com/question/25180086
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convert degree into Radian that is 18 degree 12'
Answer:
[tex]\frac{\pi }{10}[/tex] radians
Step-by-step explanation:
To convert degrees into radians, multiply the degrees with [tex]\frac{\pi}{180}[/tex].
If you have 18 degrees:
[tex]18*\frac{\pi}{180} = \frac{\pi }{10}[/tex]
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help ill give brainly ;)))
Answer:
A: 2:30
B: 13:15.
C: 4:05 A.M
D: 3:25 P.M
Step-by-step explanation:
Answer:
a) 0230 hours
b) 1315 hours
c) 4:05 am
d) 3:25 pm
Step-by-step explanation:
To change a 12 hour clock to a 24 hour clock, note that when it hits p.m., anything over 12 p.m. will have the number added to it.
a) 2:30 am
2:30 am is earlier than 12 pm, therefore, 0230 is your answer. Remember, you must place the 0 in the front to not confuse a user that the 2 is in the tens place value.* *Essentially, use military time:
b) 1:15 pm
1:15 pm is later than 12 pm, therefore, add 12 to the 1 in the hours. Use military time:
0115 + 1200 = 1315
1315 hours is your answer.
To change a 24 hour clock to a 12 hour clock, note the time frame in which the time is given. if over 1200, then subtract by 12, and add the p.m.
0405 = 4:05 am.
1525 = 12 pm + 3:25 = 3:25 pm.
~
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
(If gets it right get's brainliest)If the hypotenuse of an isosceles right triangle is 14, what is the area of the triangle?
Answer:
49 unit²
Step-by-step explanation:
Right triangle with equal legs given, let the leg be x.
Hypotenuse of isosceles right triangle is
√x² + x² = x√2Area of triangle:
1/2ah= 1/2x²Since we have hypotenuse = 14 units:
x√2=14x= 14/√2Then area:
1/2x² = 1/2*(14/√2)² = 1/2*14²/2 = 7² = 49 unit²Instructions: Find the missing side. Round your answer to the nearest tenth.
х
28°
25
Ans : 22
if my ans wrong im srry
Answer:
25 +28+x=180
53+x=180
x=180_53
x=127
Match the graph with the correct equation. Please help!
Answer:
y = -x -2
Step-by-step explanation:
The graph has a slope of -1 and a y-intercept of -2.
The equation is therefore
y = -x -2
29. A painter leans a ladder against the side of a
house that is 3 feet from the base. If the top
of the ladder reaches 16 feet, how long is the
ladder ?
HELP! answer if you can!
Answer:
16.2788 feet
Step-by-step explanation:
a²+b²=c²
3²+16²=c²
9+256=c²
265=c²
c=√265
c=16.2788 feet
If the ladder is 3 feet from the base of the house and the top is 16 feet from the base then the length of ladder is approximately 16.2788 feet long.
What is pythagoras theorem?Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to the sum of squares of base and perpendicular of that respective triangle.
[tex]H^{2} =P^{2} +B^{2}[/tex] where H is hypotenuse, P is perpendicular, B is base of triangle.
How to find length of ladder?If a painter leans a ladder against a wall then it forms a right angled triangle so in this we will apply pythagoras theorem to find the length of ladder.
let the length of ladder be h so,
[tex]h^{2} =3^{2} +16^{2}[/tex]
[tex]h^{2} =9+256[/tex]
[tex]h^{2} =265[/tex]
h=[tex]\sqrt{265}[/tex]
h=16.2788 feet.
Hence the length of ladder is 16.2788 feet.
Learn more about pythagoras theorem at https://brainly.com/question/343682
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Indicate all possible values for the variable in each of the expressions: sqrt(2x+2)+sqrt(6-4x)
Answer:
Given expression:
[tex]\sqrt{2x+2}+\sqrt{6-4x}[/tex]The first root is valid when:
2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1The second root is valid when:
6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5So the variable x can get values within interval:
-1 ≤ x ≤ 1.5 orx = [-1, 1.5]What is negative sqrt 64?
Answer:
8i. In real numbers only, this isnt possible, but if immagenary numbers are allowed then 8i is your answer
Exponential form of 81/625
Step-by-step explanation:
Hey, there!!
you number is: 81/625
We know that,
81=9×9
and
625=25×25
and............................................................
9×9 means 9^2
and 25×25 means 25^2
so, the exponential form of the question is,
=[tex] \frac{ {9}^{2} }{ {25}^{2} } [/tex]
{we simply find exponential form by finding their fraction}
Hope it helps...
find the square root and of 1+i√3
find the square root and of 1+i√3
A hiker at a state park climbs to a ridge 1,220 feet higher than where she left the car. Then she hikes 670 feet down a steep cliff. How many feet above the car is the hiker now? The hiker is feet above the car now.
Answer:
549 ft
Step-by-step explanation:
take 670ft away from 1,220 ft ( not all the way sure of I'm right)
Answer:
550
Step-by-step explanation:
1,220+(-670)= 550
Thank you! :)
Reduce 5/15 to its lowest terms
Answer:
The answer is 1/3
Answer:
1/3
Step-by-step explanation:
The factors of 5 are 1,5;
* The factors of 15 are 1,3,5,15.
We can see that the GCD is 5 because it is the largest number by which 5 y 15 can be divided without leaving any residue.
To reduce this fraction, simply divide the numerator and denominator by 5 (the GCF).
So, 5 /15
= 5÷5 /15÷5
= 1 /3
Can you please help me thanks
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of Abe?
5
B
С
4
3
D
A
1
2.
1
3
4
-7 6 5 4 3 2 -10
-1
-2
A' = ([?], [ 1)
Hi! I'm happy to help!
We can see that A's coordinates currently are -6 for x and 2 for y.
When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.
To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).
I hope this was helpful, keep learning! :D
4.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0
A. 2.65, 3
B. 2, –4
C. 2, –10
D. –52, 44
Answer:
x = 2, -4
Step-by-step explanation:
4x^2 + 8x – 32 = 0
Divide by 4
x^2 + 2x – 8 = 0
Add 8 to each side
x^2 + 2x = 8
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2=1
Add it to each side
x^2+2x+1 = 8+1
(x+1)^2 = 9
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(9)
x+1 = ±3
Subtract 1 from each side
x = -1±3
x = -1+3, -1-3
x = 2, -4
Answer:
B
Step-by-step explanation:
Given
4x² + 8x - 32 = 0 ( divide through by 4 )
x² + 2x - 8 = 0 ( add 8 to both sides )
x² + 2x = 8
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(1)x + 1 = 8 + 1
(x + 1)² = 9 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )
x = - 1 ± 3
Then
x = - 1 + 3 = 2
x = - 1 - 3 = - 4
Hint: is the picture
Alonso estimated the distance across
a river as 1232 meters. What is the
approximate distance across the river to
the nearest thousandth of a meter?
Answer:
1232.000
Step-by-step explanation:
Estimated distance across the river=1,232 meters
Find the approximate distance across the river to
the nearest thousandth of a meter
Note: Thousandth is having 3 values after the decimal point
This means we will round 1,232 meters to the nearest thousandth
1,232 is an whole number and decimal point can only be added at the end like this 1,232.
So we need 3 values after the decimal point.
We must add only values that wouldn't change the original 1,232 meters.
Therefore, zero (0) will be added
1232.000
Is to the nearest thousandth
the angle of elevation from the top of the tower from a point 100m away from the ground is fourty five degrees. what is the hieght of the tower in the nearest meter
Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Answer:
[tex]\Huge \boxed{\mathrm{100 \ meters}}[/tex]
Step-by-step explanation:
The base of the right triangle created is 100 meters.
The angle between the base and the hypotenuse of the right triangle is 45 degrees.
We can use trigonometric functions to solve for the height of the tower.
[tex]\displaystyle \mathrm{tan(\theta)=\frac{opposite}{adjacent} }[/tex]
Let the height be x.
[tex]\displaystyle \mathrm{tan(45)}=\frac{x}{100}[/tex]
Multiplying both sides by 100.
[tex]\displaystyle 100 \cdot \mathrm{tan(45)}=x[/tex]
[tex]100=x[/tex]
The height of the tower is 100 meters.
The formula in cell C5 is "=SUMPRODUCT($A$1:$C$1,A2:C2)". If one copies and pastes the formula from the cell C5 into the cell C6, what numerical value will appear in the cell C6?
Answer:
See Explanation
Step-by-step explanation:
Given
Formula: =SUMPRODUCT($A$1:$C$1,A2:C2)
Required
Determine the numerical value that will appear
The question seem incomplete; however, I'll give a general explanation
FIrst, when the formula is copied from C5 to C6, A2 and C2 changes to A3 and C3 respectively.
This is because they are relative references and they behave on a relative position.
This implies that, when the formula is in cell C5, the formula considers cells A2 and C2 when executing the formula;
However, C6 will consider cells A3 and C3, respectively.
Divide. Write your answer as a fraction in simplest form.
−7/10÷ 2/5= help
Answer:
- [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{7}{10}[/tex] ÷ [tex]\frac{2}{5}[/tex]
Leave the first fraction
Change division to multiplication
Turn the second fraction upside down
= - [tex]\frac{7}{10}[/tex] × [tex]\frac{5}{2}[/tex] ← cancel 5 and 10 by 5
= - [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{2}[/tex]
= - [tex]\frac{7(1)}{2(2)}[/tex]
= - [tex]\frac{7}{4}[/tex]