sec^4A+ tan^4A = 1 + 2tan^2A sec^2A

please help me solving it​

Answer:

61

Step-by-step explanation:

7a-9 = 7(10)-9 = 70-9 = 61

Answer:

29 feet for second ladder

Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.

Answer:

As this is a right angled triangle, simply find the hypotenuse

Step-by-step explanation:

We know that the square of hypotenuse is equal to the sum of the square of the other two sides

In formula > h²=a²+b²

We know the values of a and b.

Now simply put the values into the equation to find the answer :)

For 1,  h²= 25² + 10²

h² = 625 + 100

=725

h=√(725)

=26.92 feet

Therefore height of ladder = 26.92 feet

For 2,

h²= 21²+20²

h²=441 + 400

h² = 841

h = √841

h = 29 feet

Heigh of ladder = 29 feet

Answer:

I think is D

I'm not that sure but hope it helps

Answer:

180

Step-by-step explanation:

Answer:

I think A..............

The temperature of the radiating layers of a star at which its continuous spectrum is produced is known as surface temperature of star.

Learn more:

https://brainly.com/question/17717852

Answer:

We conclude that:

Step-by-step explanation:

Some background Concepts:

From the graph, it is clear that at x = -10, the graph intersects the x-axis.

So, the x-intercept of the graph is (-10, 0).

It means g(-10) = 0

From the graph, it is clear that at y = 5, the graph intersects the y-axis.

So, the y-intercept of the graph is (0, 5).

It means g(0) = 5

Determining g(-3):

From the graph, it is clear that at x = -3, the value of the function output = 3.5.

In other words,

at x = -3, g(-3) = 3.5

Therefore, we conclude that:

Answer:

The value of x = 9

Step-by-step explanation:

Angle Bisector Theorem

An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.

Thus,

[tex]\frac{x}{15}=\:\frac{12}{20}[/tex]

Cross Multiply the expression

[tex]\:20\times x=12\times 15[/tex]

Divide both sides by 20

[tex]\frac{20x }{20}=\frac{180}{20}[/tex]

[tex]x=9[/tex]

Therefore, the value of x = 9

Answer:

y = -x/3 + 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   x + 3y = 18

Step 2: Rewrite

Find slope-intercept form

Answer:

y=-3x+6

Step-by-step explanation:

slope int. form is y=mx+b

want to get y by itself, so subtract 1x

so you are left with 3y=-1x+18

then divide 3

left with y=-1/3x+6

simplified is y=-3x+6

Answer:

Josie is training for a race. The ratio of

the number of minutes she runs to the

number of miles she runs is 24 to 3.

She plans to run 10 miles. How many

minutes will it take her?

2 A chef planning for a large banquet

thinks that 2 out of every 5 dinner

guests will order his soup appetizer.

He expects 800 guests at the banquet.

Use equivalent ratios to estimate how

many cups of soup he should prepare.

3 Fred is making a fruit salad. The ratio

of cups of peaches to cups of cherries

is 2 to 3. How many cups of peaches

will Fred need to make 60 cups of

fruit salad?

4 A community garden center hosts a

plant giveaway every spring to help

community members start their

gardens. Last year, the giveaway

supported 50 families by giving away

150 plants. Based on this ratio, how

many plants will the center give away

this year in order to support 65 families?

5 The first week of January, there are

49 dogs and 28 cats in an animal shelter.

Throughout the month, the ratio of dogs

to cats remains the same. The last week

of January, there are 20 cats in the

shelter. How many dogs are there?

6 A wedding planner uses 72 ivy stems

for 18 centerpieces. When she

Step-by-step explanation:

i think

Answer:

The answer is 3500

Step-by-step explanation:

All you have to do is get 175% of 2000. This is 3,500.

Answer:

is it 3.00

Step-by-step explanation:

Answer:

0.625.

Step-by-step explanation:

To find the decimal of what Margo spent we have to divide the part ($5.00) by the whole ($8.00). Like this:

(5)/(8) = 0.625

Therefore, the decimal that represents the fraction is 0.625.

I hope this helps!!

- Kay :)

Answer:

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –16°C is colder than –12°C.  

When the temperature is 7° below freezing, the temperature is –7°C.

A temperature of 10°C is colder than –12°C.

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –8°C is colder than –12°C.

When the temperature is 7° below freezing, the temperature is –7°C.

Answer:

b=−5

Step-by-step explanation:

Subtract the numbers

b=2−7                                                            

b= −5

Answer:

b = -5

Step-by-step explanation:

b = 2 - 7

b = -5

Answer:

yes

Step-by-step explanation:

2(2(3)+1) + 3= 8(3)+2-3(3)

14+3=24+2-9

17=17

Answer:

$1, 512

This is how:

1) Michael works 28 hours in one week. So how many hours does he work in 6 weeks?

So you need to calculate : 28 × 6 = 168

SO THIS IS THE TOTAL NUMBER OF HOURS FOR 6 WEEKS.

2) because Michael gets paid $9 PER HOUR :

You will need to multiply the amount of money he receives with the total number of hours he works.

168 × 9 = $ 1, 512

He earns $1,512 in 6 weeks

Step-by-step explanation:

=2b+9

=2×3+9

=6+9

=15

hope it helps.

Answer:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Step-by-step explanation:

Given that:

Roses come in a bunch of 12 flowers and

Lilies come in a bunch of 8 flowers

Number of roses ordered is equal to the number of lilies ordered.

Total number of flowers ordered are lesser than 100.

To find:

The possible number of combinations such that equal number of flowers are bought.

Solution:

Here, we need to find the Least Common Multiple.

[tex]12 = \underline{2 \times 2} \times 3[/tex]

[tex]8 = \underline{2 \times 2} \times 2[/tex]

LCM = [tex]2\times 2 \times 3 \times 2 = 24[/tex]

Therefore, we need to find the number of bunches such that number of flowers of each type bought are equal to LCM or multiples of LCM.

i.e.

24, 48, 72, 96 ....

Here, two types of flowers are there.

Therefore, 24 of each type, total 48 flowers i.e. 2 bunches of roses and 3 bunches of lilies.

48 of each type, total 96 flowers i.e. 4 bunches of roses and 6 bunches of lilies.

Total possible combinations:

2 bunches of roses and 3 bunches of lilies.

4 bunches of roses and 6 bunches of lilies.

Answer:

AB ≈ 3.14 ft

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

    = πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )

    = 8π × [tex]\frac{1}{8}[/tex]

   = π

   ≈ 3.14 ft ( to 2 dec. places )

Answer:

1/(xy^2)

I hope it will be useful.

Answer:

1/x times 1/y squared

Step-by-step explanation:

Answer:

Humans living in highly populated areas are more inclined to violence.

Answer:

A. Violence

Step-by-step explanation:

got it right, hope this helps!

Answer:

y= 42

Step-by-step explanation:

angles in a triangle add up to 180

48+90=138

180-138= 42

(if you need the  value of x)

180-48=132

132/2=66

x=66

(value of z)

90+66=156

180-156=24

z=24

Answer:

m= 8/11

Step-by-step explanation:

plug into the formula and solve

Answer:

[tex](s^{2})(t) , 10^{2}t, s^{2}t[/tex] are the correct answers

Step-by-step explanation:

The others don't work because they don't have the same power for each variable.

Answer:

It is s^2(t), 10 *s^2 * t, and (1/4) (s^2)(t)

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

1)

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

Hope this helps! (:

Answer:

-5y

Step-by-step explanation:

We are to simplify the expression

5x - 5(y+x)

Open the bracket by applying the distributive law;

5x-(5(y)+5(x))

5x - (5y+5x)

5x - 5y - 5x

Collect like terms to have:

5x - 5x - 5y

0-5y

= -5y

Hence the simplified form is -5y