Please solve with explanation

Hopefully, I have read the problems right. The small writing is slightly blurry.

[1] Both 1 and 2 are equal to 70°

    Angle 1 and Angle 2 will be equal to each other because they are vertical angles.

    A straight line is 180°, so 180° - 110° = 70°

[2] Both 3 and 4 are equal to 99°

    Again, Angle 3 and Angle 4 will be equal to each other because they are vertical angles.

    We can solve for the other two angles by putting them equal to each other since they are also vertical angles.

3x - 15° = 2x + 17°

3x = 2x + 32°

x = 32°

-

2x + 17°

2(32)° + 17°

64° + 17°

81°

    Also again, a straight line is 180°. 180° - 81° = 99°

[3] This one has too many subparts for Brainly.

    As a hint, you will use the same methods above. Find vertical angles and use the degree of a straight line.

48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

please please please please please please

Answer:

$10.88

Step-by-step explanation:

To find the selling price, we first have to find the markup price by multiplying 8 by 36 and then dividing the product by 100.

Now, we add the markup price the cost of the book.

Therefore, the selling price is $10.88.

Answer:

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Step-by-step explanation:

[tex]a^{2} =\frac{4}{25}[/tex]

[tex]\sqrt{a^{2} } =\sqrt{\frac{4}{25} } \\|a|=\sqrt{\frac{4}{25} \\[/tex]

a = ± [tex]\sqrt{\frac{4}{25} }[/tex]

Answer:

A) t = 0.25 s

B) h = 25 m

Step-by-step explanation:

Given equation:  [tex]h(t) = -16t^2 + vt + s[/tex]

where:

A)  To find the value of t when h is at its maximum, differentiate the equation with respect to t:

[tex]\implies h'(t)=-32t+v[/tex]

Substitute given value of v:

[tex]\implies h'(t)=-32t+8[/tex]

Set to zero and solve for t:

[tex]\implies -32t+8=0[/tex]

[tex]\implies t=0.25 \textsf{s}[/tex]

B)  Substitute the found value for t into the equation and solve for h:

[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]

[tex]\implies h(0.25) = -1 + 2 + 24[/tex]

[tex]\implies h(0.25) =25 \textsf{ m}[/tex]

Answer: D

Step-by-step explanation:

You need to prove that the diagonals bisect each other to prove it's a parallelogram.

Now, to prove it's a square, you need to prove it's both a rectangle and a rhombus.

Answer:

820,000

Step-by-step explanation:

2 is lower than 5 so round down to 20

Pls Brainliest If Helps

Answer:

820,000

Step-by-step explanation:

The 10,000 digit is the 2 on the left.

All digits to the right of the left 2 become zero.

820,000

The first digit that is dropped is the right 2.

Since it is not 5 or more, the 2 that is kept does not go up to 3.

Answer: 820,000

Answer: 0.2916666665

Step-by-step explanation:

Answer:

[tex]\frac{7}{24}[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know

[tex]\cos^2a=1-\sin^2a[/tex].

With this, we can find [tex]\cos a[/tex] by plugging in what we know for [tex]\sin a[/tex]:

[tex]\cos^2a=1-(\frac{4}{5})^2\\~~~~~~~~=1-\frac{16}{25}\\~~~~~~~~=\frac{9}{25}[/tex].

Taking the square root, we get

[tex]\cos a=\frac{3}{5}[/tex] .

Note: there seems to be a problem with the question? It doesn't specify what range [tex]a[/tex] lies in, so we don't know whether [tex]\cos a[/tex] is positive or negative. In this case, I assumed it was positive.

From this, we can find [tex]\tan a[/tex]:

[tex]\tan a=\frac{\sin a}{\cos a}\\~~~~~~~=\dfrac{\frac{4}{5}}{\frac{3}{5}},[/tex]

so [tex]\tan a=\frac{4}{3}[/tex].

Using the [tex]\tan[/tex] difference formula, we know

[tex]\tan (a-b)=\dfrac{\tan a -\tan b}{1+\tan a\tan b}[/tex] .

Plugging in the values we know for [tex]\tan a[/tex] and [tex]\tan b[/tex], we get

[tex]\tan(a-b)=\dfrac{\frac{4}{3}-\frac{3}{4}}{1+\frac{4}{3}\cdot\frac{3}{4}}\\~~~~~~~~~~~~~~=\dfrac{\frac{7}{12}}{1+1}\\~~~~~~~~~~~~~~=\boxed{\frac{7}{24}}~.[/tex]

Answer:

37°

Step-by-step explanation:

1. Label the sides: the hypotenuse (the longest, slanted side) is 5 and the adjacent is 4. This means that we are using cosine (CAH)

2. Write out the equation: cosine or cos (?) = adjacent ÷ hypotenuse

3. Substitute in the values: cos (?) = 4 ÷ 5

4. Simplify: cos (?) = 0.8

5.  Type this into a calculator to find ?:  [tex]cos^{-1}(0.8)[/tex]

? = 36.86989... ≈ 37°

Hope this helps!

Answer:

If this is the problem

g(t) = t2 - 3t and h(t) = 3t - 4

g[ h(t) ] = (3t-4)2 - 3 (3t-4)

g[ h(t) ] = 9t2 - 24t + 16 - 9t + 12

g[ h(t) ] = 9t2 - 33t + 28

Answer:

70.02ft≈70ft

Step-by-step explanation:

Here,

∠ABC=35°

BC=100ft

AC=?

Now,

[tex]tanB=\frac{AC}{BC} \\\\[/tex][tex]tanB=\frac{AC}{BC} \\\\tan35=\frac{AC}{100ft} \\\\0.7002=\frac{AC}{100ft} \\\\100ft*0.7002=AC\\\\AC=70.02ft[/tex]

Because tan=p/b

[tex]\\ \rm\rightarrowtail cot35=\dfrac{Base}{Perpendicular}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{BC}{AC}[/tex]

[tex]\\ \rm\rightarrowtail cot35=\dfrac{100}{AC}[/tex]

[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.43}[/tex]

[tex]\\ \rm\rightarrowtail AC=69.93ft[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{36x^{21}y^{64}}=6y^8x^{10.5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[15]{7^{10}a^{25}b^{-35}}=7^{2/3}a^5b^{-7}{3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{648(3m-2n)^{64}}=648^{1/3}(3m-2n)^4[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[4]{(a^2-2a+1)^{29}(a^2-1)^7}=(a^2-a+1)^{29/4}(a^2-1)^{7/4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{3a^2b}{\sqrt[3]{18a^{21}b^{17}}}=\dfrac{3a^2b}{18^{1/3}a^7b^{17/3}}=\dfrac{3a^{-5}b^{-14/3}}{18^{1/3}}=\dfrac{3}{18^{1/3}a^5b^{14/3}}[/tex]

The measure of angle QPS in circle C is 112°

A circle is the locus of a point such that its distance from a fixed point known as the circle center is always constant. The sum of angles in a circle is 360 degrees.

From the circle:

PQ is parallel to SR, hence: ∠PQR + ∠QRS = 180°

∠PQR + 68 = 180

∠PQR = 112°

Also, PS =  QR (from the endpoint of  the diameter), hence:

∠QPS = ∠PQR = 112°

The measure of angle QPS in circle C is 112°

Find out more on circle at: https://brainly.com/question/24375372

Answer:

its b

Step-by-step explanation:

There are no pictures provided.

( Talking about the models )

Answer:

the amount of a $3,000.00 annuity due at 12 percent compounded semiannually for 3 years. A. $334,321.00 B. $43,068.93 C. $22,180.50 D. $41,814.50

The amount of the annuity due in 23 years with 8% of interest compounded semiannually is $62053.35.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Scupper Molly invested $1,800 semiannually for 23 years at 8% interest compounded semiannually.

Then the amount of the annuity due will be

[tex]\rm A = 1800 (1 + 0.08)^{2\times 23}\\\\A = 1800 (1.08)^{46}\\\\A = 1800 \times 34.474\\\\A = 62053.35[/tex]

More about the compound interest link is given below.

https://brainly.com/question/25857212

Answer:

The dragonfly is 4.5 feet per second faster.

Step-by-step explanation:

Answer:

153.86 cm² and 43.96

Step-by-step explanation:

The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)

Answer: 152

Step-by-step explanation:

Let the number = x.

Therefore, x*25% = 38

25% as a decimal is 0.25.

So, 0.25x = 38

We can divide both sides by 0.25:

x = 152

Answer:

4) 14.5

6) 11.4

Step-by-step explanation:

4) Area = 20 * 21/2 = 29 * x/2

so x = 20 * 21/29 = 14.5

6) Area = 22.4 * 13.2/2 = 26 * x/2

so x = 22.4 * 13.2/26 = 11.4

Answer:

9 more mornings Jessica can drink orange juice

Step-by-step explanation:

1 4/5 = 1/5x

9/5  = 1/5 (divided below)

1/5       1/5

9/5  divided 1/5 = x

x = 9/5 x 5/1 = 45/5

45/5 divide by 5 = 9/1

long division and you get 9

hope this helps!

Answer:

The answer is 9

Step-by-step explanation:

Answer:

390 pennies that susan is holding

Answer:

3/4x-280=x/2

-3/4x-280=x/2 find the common factor for 3/4x-280/1 which is 4 3/4x-280/1 3xby

Answer:

30

Step-by-step explanation:

solution

= (75*100)/250

= (7500)/250

= 7500/250

=30

Answer:

155 cm2

Step-by-step explanation:

Step-by-step explanation:

Given is the 30°x60°x90° right triangle.

The ratio of its sides is:

Find the missing sides using the ratio above:

Answer:

[tex]\sf x = 4\sqrt{6}[/tex]   and   [tex]\sf y = 6\sqrt{2}[/tex]

step-by-step explanation:

given:

using tan rule:

[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

[tex]\sf tan(60)= \dfrac{y}{2\sqrt{6} }[/tex]

[tex]\sf tan(60)*{2\sqrt{6}= y[/tex]

[tex]\sf y = 6\sqrt{2}[/tex]

using cosine rule:

[tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

[tex]\sf cos(60)= \dfrac{2\sqrt{6} }{x}[/tex]

[tex]\sf x= \dfrac{2\sqrt{6} }{cos(60)}[/tex]

[tex]\sf x = 4\sqrt{6}[/tex]