It’s confusing, would the answer be square root 7 over 4?

Answers

Answer 1

Answer:

[tex]\tan U = 1[/tex]

Step-by-step explanation:

[tex]\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies UT^2 = UV^2 +VT^2\\\\\implies UV^2 = UT^2 -VT^2\\\\\implies UV^2 = \left(7\sqrt 2 \right)^2 - 7^2\\\\\implies UV^2 = 49(2)-49\\\\\implies UV^2 = 49\\\\\implies UV = \sqrt{49} \\\\ \implies UV = 7[/tex]

[tex]\text{Now,}\\\\~~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan U = \dfrac{7}{7}\\\\\\\implies \tan U = 1[/tex]

Related Questions

Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should you use law of sines or law of cosines to solve? b. show your setup to solve for pq. c. solve for pq to the nearest tenth, showing all of your work. for the toolbar, press alt+f10 (pc) or alt+fn+f10 (mac).

Answers

By applying the law of sines, the length of side PQ is equal to 7.1 units.

What is the law of sines?

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

How to calculate the length of PQ?

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]

PQ = 7.1 units.

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A TV has a listed price of $841.99 before tax. If the sales tax rate is 9.5%, find the total cost of the TV with sales tax included

Answers

Answer:

[tex]9.5 \div 100 \times 841.99 = 79.99 \\ \\ 841.99 + 79.99 \\ 921.98[/tex]

Answer:

$921.98905

Step-by-step explanation:

To find the sales tax amount we need to find 9.5% of 841.99

for this we can use 2 methods:

Method 1-

P%* X= Y

9.5%*841.99= Y

Convert 9.5% to a decimal by removing the percent sign and dividing by 100: 0.095

Substitute 0.095 for 9.5% in the equation: 9.5% * 841.99 = Y becomes 0.095 * 841.99 = Y

Do the math: 0.095 * 841.99 = 79.98905

method 2-

9*841.99

=7998.905

÷100

=79.98905

Now that we know how much the the amount is all we have to do is add the amount with the original price of the tv

$841.99 + $79.97905= $921.98905

Find the value of x.
x = [?]

Answers

Answer: 8

Step-by-step explanation:

The triangles are congruent by SAS, so using CPCTC, the answer is 8

3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.

Answers

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

10*25=250
45-10=35
35*13=455
455+250=705
705*$0.55=$387.75

PLEASE SOLVE I WILL MARK BRAINLIEST HURRY PLEASE

Answers

Applying the Pythagorean theorem, the missing lengths in the right triangles are:

1. √19 ≈ 4.4

2. √96 ≈ 9.8

3. √60 ≈ 7.7

4. √231 ≈ 15.2

5. √21 ≈ 4.6

6. √24 ≈ 4.9

What is the Pythagorean Theorem?

The Pythagorean theorem is a formula that can be used to find the leg of a right triangle, and is given as: c² = a² + b², where a and b are the smaller legs and c is the longest leg/hypotenuse.

1. missing leg = √(10² - 9²) = √19 ≈ 4.4

2. missing leg = √(11² - 5²) = √96 ≈ 9.8

3. missing leg = √(8² - 2²) = √60 ≈ 7.7

4. missing leg = √(16² - 5²) = √231 ≈ 15.2

5. missing leg = √(5² - 2²) = √21 ≈ 4.6

6. missing leg = √(7² - 5²) = √24 ≈ 4.9

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Name all of the obtuse angles that share a side with angle VON

A. Angles NOS, NOP, NOQ, VOS, VOQ, VOP
B. Angles NOS, NOT, NOV, VOR, VOU, VOP
C. Angles NOS, NOT, NOR, VOR, VOQ, VOP
D. Angles NOS, NOT, NOU, VOR, VOQ, VOP

Answers

The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles

What is an Obtuse Angle ?

An angle whose measure is more than 90 degree is called an obtuse angle.

In the given figure , the angles which have value more than 90 degree needs to be found.

The angles NOS, NOT, NOU, VOR, VOQ, VOP are obtuse angles as their measure is more than 90 degree.

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If f(x) = 6x³ + 5x, g(x) = 3x² +5, and h(x) = 9x² - 8, What is the degree of f(g(h(x)))?

a)2
b)3
c)7
d) 12

Answers

f(x)=6x³+5xg(x)=3x²+5h(x)=9x²-8

Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

3(2)(2)12

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

[tex]f(x)=x^3+x[/tex][tex]g(x)=x^2[/tex][tex]h(x)=x^2[/tex]

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

find the value of x and y from the following

Answers

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°

Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which statements about the situation are true? Check all that apply.

The number of possible outcomes is 8.
The probability is drawing the tile with E written on it is 1/4.
P(vowel)=1/4
P(vowel) + P(consonant) % 1
Choosing one letter at random is a simple event.

Answers

Using the probability concept, it is found that the correct statements are given as follows:

The number of possible outcomes is 8.P(vowel)=1/4P(vowel) + P(consonant) = 1.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

P(vowel) = 2/8 = 1/4.P(consonant) = 6/8 = 3/4.P(vowel) + P(consonant) = 1/4 + 3/4 = 1.

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

I got it right on Edge22

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Point C divides in a particular ratio. Match point C and the ratio into which C divides with the endpoints of .

Point C(-3.6, -3.4) divides
in the ratio 2 : 3.
A(4, -3) and B(-7, 8)
Point C(4, 1.6) divides in
the ratio 3 : 2.
A(-5, 2) and B(7, 14)
Point C(3.5, -2.5) divides
in the ratio 1 : 7.
A(-2, -1) and B(-6, -7)
Point C(8, 9) divides in
the ratio 5 : 3.
A(3, 4) and B(11, 12)
Point C(-2, 5) divides in
the ratio 2 : 6.
Point C(0, 1) divides in
the ratio 4 : 7.

PLATO

Answers

The point divides the line in the respective ratios. The correct matches are done.

What is division of line?

When a point lies on the line such that is gets divided into the ratio is said to be the division of line.

The coordinates of point can be find out by the following formula.

x = mx₂ +nx₁ / m+n and y = my₂ +ny₁ / m+n

For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.