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2 years ago

N triangle xyz, m∠z > m∠x m∠y. which must be true about △xyz?

Mathematics

2 answers:

dmitriy555 [2]2 years ago

6 0

Answer:

The answer is D.

Step-by-step explanation:

liubo4ka [24]2 years ago

4 0

The choices are the below that can be found elsewhere:

m∠X + m∠Z < 90°

m∠Y > 90°

∠X and∠Y are complementary

m∠X + m∠Y < 90°

Since the given is m<Z > m<X +m<Y and <span>the sum of measure of angles of a triangle is equal 180 degrees so from this result that the last one choice need being true sure so m<X +m<Y < 90°</span>

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Stephanie has $45,000. Part or all of which she wants to invest into a combination of municipal bonds and corporate bonds. She w

Westkost [7]

Answer:

Step-by-step explanation:

Let x be the amount invested in municipal bonds, and let y be the amount invested in corporate bonds.

If Stephanie has $45,000 and she wants to invest part or all into a combination of municipal bonds and corporate bonds, the inequality for this statement would be

x + y ≤ 45000

She wants to invest no less than $20,000 into municipal bonds. It means that

x ≥ 20000

Also, she wants to invest at least four times as much into municipal bonds than into corporate bonds. This means that

x ≥ 4y

x/4 ≥ y

y ≤ x/4

The inequalities are

x + y ≤ 45000

x ≥ 20000

y ≤ x/4

8 0

2 years ago

Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is

FinnZ [79.3K]

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Further explanation:

Given:

Vector a is $\vec a = 4.00\hat i + 7.00\hat j.$

Vector b is $\vec b = 5.00\hat i - 2.00\hat j.$

Explanation:

The cross product of a \times b can be obtained as follows,

$\begin{aligned}a \times b &= \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k} \\4&7&0\\5&{ - 2}&0 \end{array}}\right|\\&= \hat i\left( {0 - 0} \right) - \hat j\left( {0 - 0} \right) + \hat k\left( { - 9 - 35} \right)\\&= 0\hat i - 0\hat j - 43\hat k\\&= - 43\hat k\\\end{aligned}$

The vector can be expressed as follows,

$a \times b = - 43\hat k$

The magnitude of $a \times b$ can be obtained as follows,

$\begin{aligned}\left| {a \times b} \right| &= \sqrt {{0^2} + {0^2} + {{\left( { - 43} \right)}^2}}\\&= \sqrt {{{43}^2}}\\&= 43\\\end{aligned}$ 43404

The vector product of $\boxed{a \times b = - 43\hat k}$ and the magnitude of $a \times b$ is $\boxed{43}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.

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-10w - 400 = o

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