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2 years ago

12) Find mZVUT if mZVUT = 10x +9, m_BUT = 7x - 1, and mZVUB= 37º.

Mathematics

1 answer:

Mariulka [41]2 years ago

5 0

Answer:

99°

Step-by-step explanation:

m∠VUT = 10x + 9
m∠BUT = 7x - 1
m∠VUB = 37°
m∠VUT = ?

m∠VUT = m∠BUT + m∠VUT
10x + 9 = 7x - 1 + 37
10x - 7x = 36 - 9
3x = 27
x = 9

<u>Angle VUT measures:</u>

10x + 9 = 10*9 + 9 = 99°

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If the following system of equations was written as a matrix equation in the form AX = C,? and matrix A was expressed in the for

Tomtit [17]

The value of the expression a - b + c + d will be 7.

<h3>What is the matrix?</h3>

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The system of equations are given below.

5x + 7y = 7

3x - 2y = 9

Then the equations can be written in the form of matrix. Then we have

$\begin{bmatrix}5 & 7 \\3 & -2 \\\end{bmatrix} \begin{bmatrix}x \\y \\\end{bmatrix} = \begin{bmatrix}7 \\9 \\\end{bmatrix}$

Then the value of a, b, c, and d will be

a = 5, b = 3, c = 7, and d = -2

Then the value of the expression will be

a - b + c + d = 5 - 3 + 7 - 2

a - b + c + d = 12 - 5

a - b + c + d = 7

More about the matrix link is given below.

brainly.com/question/9967572

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2 years ago

A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m

Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

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3 years ago

7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con

sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let $p_{1}$ be the probability that commercial cars have rear license plates and $p_{2}$ be the probability that connected trucks have rear license plates.

Cars Trucks Total

Total 2049 334 2383

x 239 45 284

p 0.1166 0.1347 0.1191

α=0.05

Hypothesis will be :

$H_{0}:p_{1} =p_{2}$

$H_{1} :p_{1} < p_{2}$

It is a left tailed test at 0.05 significance.

Standard errors of p= $\sqrt{p(1-p)/n}$

= $\sqrt{(0.1191*0.8809)/2383}$

= $\sqrt{0.1049/2383}$

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

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2 years ago

Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.

Law Incorporation [45]

Answer:

Question 1: A)we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

c)The distance traveled in 1 rotation = 628 ft

2(a)AREA of a CIRCLE = π R²

(b)Area the wheel takes up is 31,400 sq ft

Step-by-step explanation:

Question 1:

Diameter = 200 ft

Now,as Diameter = 2 x Radius

So, R = D/2 =200/2 = 100 ft

A) Distance around the wheel = The length of the boundary of the wheel.

So, we need to use the CIRCUMFERENCE.

B) Circumference of a Circle = 2 π R

Here R = Radius and use π = 3.14

C) The distance traveled in 1 rotation = 1 completer length of boundary

Now, Circumference = 2 π R = 2 x (3.14) x (100 ft) = 628 ft

Question 2:

A) Space the Ferris Wheel takes up = Area of the wheel

AREA of a CIRCLE = π R²

B) AREA of a CIRCLE = π R²

= (3.14) (100 ft ) (100 ft) = 31,400 sq ft

So, the area the wheel takes us is 31,400 sq ft

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2 years ago

Which of the following is the same as 3/5÷4/7 <br> 3/5÷7/4<br> 4/7÷3/5<br> 3/5×4/7<br> 3/5×7/4

Gala2k [10]

Answer:

all have numbers 3 5 4 7

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2 years ago

Read 2 more answers