26. September 9, 1981 (9/9/81) was a square-root year date because both the
month and the day are square roots of the last two digits of the year.
How many square-root dates will there be during the 21st century?

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.

The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4

Required measures of the angles,|

1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|

m∠RSU = 31°

2)  m∠UST = (11x − 21)°.
    m∠UST = (11 * 4 − 21)°
    m∠UST = (44 − 21)°
     m∠UST =  23°

Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ5

Answer:

Step-by-step explanation:

Given,

Area of a triangle = 40

Therefore,

Side of the square

[tex] = \sqrt{40} [/tex]

= 6.3245553203

= 6.3 (estimated) (Ans)

Answer:

3.2 × 10⁻²

Step-by-step explanation:

→ First multiply the whole numbers

8 × 4 = 32

→ Now add the powers

32 × 10⁻³

→ Convert into standard form

3.2 × 10⁻²

Answer:

-14/1 or 14/-1

Step-by-step explanation:

The fraction for 14 is 14/1

to make it negative, just add a negative sign for numerator or denominator.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

[tex]\dfrac{C}{-9}=2\\\\\\[/tex]

Multiply both sides by (-9)

[tex]\dfrac{C}{-9}*(-9)=2*(-9)\\\\\\C=(-18)[/tex]

Answer:

C=-18.

Step-by-step explanation:

Setting up the problem,

C/-9=2

Multiplying both sides by -9, to get rid of the fraction,

C/-9x(-9)=2x(-9)

So, therefore, the final answer is C=-18.

I hope this has helped you. Enjoy your day, and take care.

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]

I hope it helps you

Answer:

[tex]y = 0 \: .x = \frac{2}{3} y[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]

[tex]3xy - 2 {y}^{2} = 0[/tex]

[tex]y \times (3x - 2y) = 0[/tex]

[tex]y = 0 = 3x - 2y = 0[/tex]

[tex]y = 0 = 3x = 2y[/tex]

[tex]y = 0[/tex]

[tex]x = \frac{2}{3} y[/tex]

[tex]y = 0. \: x = \frac{2}{3} y[/tex]

the answer is 7/9. ...........

Answer:

figure plz

Step-by-step explanation:

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Answer:

[tex]81^{1/4}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{81} = 81^{1/4}[/tex]

a square root can be equivalently written as a fractional exponent. All the other options can be ruled out as they are simply incorrect.

Answer:

a^5÷a^3=a^5×a^-3=a^5+-3=a^2

Answer:

[tex]a) \: \: {a}^{2} [/tex]

[tex]b) \: \: c[/tex]

Step-by-step explanation:

[tex]a) \: \: {a}^{5} \div {a}^{3} \\ = (a \times a \times a \times a \times a)(a \times a \times a) \\ = a \times a \\ = {a}^{2} [/tex]

[tex]b) \: \: \frac{ {c}^{4} }{ {c}^{3} } \\ \frac{(c \times c \times c \times c)}{(c \times c \times c)} \\ = c[/tex]

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

Answer: An equation with an integer coefficient will NOT always have an integer solution.

Explanation: 3x=25⟹x=253 , therefore it is false.

483.62 - 218.25 = 265.37

265.37 / 17 = 15.61

Each student should raise 15.61.

Hope this helps.

Step-by-step explanation:

steps are in picture above.

Note:if you have any question please let me know.

Answer:

50 i think not sure what kind a question this is

Answer:

17,500 Apples in 2 weeks

Step-by-step explanation:

250 apples*5 hours*14 days= 17,500 Apples in 2 weeks

Answer:

It is C

Step-by-step explanation:

PM = QM

[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]

Answer:

C.) x = 3

Step-by-step explanation:

The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.

Answer:

ans is 5.

hope it will help you.

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem