MATHEMATICS HIGH SCHOOL

Za and Z6
are
complementary angles. Za measures 78°.
What is the measure of Zb?
aliyahboo1 avatar

Answers

Answer 1
Answer:

Answer:

\boxed{\angle b = 12 \degree}

Given:

\angle a \: and \: \angle b \: are \: complementary \: angles\n \n \angle a = 78 \degree

Step-by-step explanation:

Two Angles are Complementary when they add up to 90° (a Right Angle).

= > \angle a + \angle b = 90 \degree \n \n = > 78 \degree + \angle b = 90\degree \n \n = > \angle b = 90 \degree - 78 \degree \n \n = > \angle b = 12 \degree

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Find a • b.

a = 4i + 3j, b = -4i + 4j

Answers

The required dotproduct of the given vector is given as -4.

Given that,
a = 4i + 3j, b = -4i + 4j
a • b is to be determined.

What is dot products of vector?

The dot × of twovectors is described as the sum of the products of the relevant directionalvector.

Here,
a.b = (4i + 3j).(-4i + 4j)
a.b = 4×-4 (i.i) + 3×4 (j.j) + 4×4 (i.j) + 3×-4(i.j)
a.b = -16 + 12
a.b = -4     (since i.j or j.i for dot product gives zero.)

Thus, the required dotproduct of the given vector is given as -4.

Learn more about dot product here:
brainly.com/question/29097076
#SPJ2
Hello,

I suppose a and b are vectors
and i and j unit's vectors

\vec{i}*\vec{i}=1\n \vec{j}*\vec{j}=1\n \vec{i}*\vec{j}=0\n
\vec{a}\ .\ \vec{b}=(4\vec{i}\ +3 \vec{j}).(-4\vec{i}\ +4 \vec{j})\n =-16-3*4*0+4*4*0+12=-4

HELP the temperature in Alaska was -13 at 7:00am. By noon, the temperature was 5. How much did the temperature change?


I BEG ANYONE PLS SAVE ME WITH THIS QUESTION ITS MY LAST ONE PLSS

Answers

Answer:

21

Step-by-step explanation:

hope this helps.....

Find the rate of balls hit to times at bat

Answers

Rate balls hit : Times at bat  =  150 : 500

= 150 / 500    Cancel out the zero

= 15/50          5 into 15 is 3, and 5 into 50 is 10.

= 3/10

3 to 10.

True or false: You can represent the following situation with a division expression.Joshua has three cats. Over a week they eat a total of 14 pounds of food. On average how much food does each cat eat in a week?


True

False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

To represent the situation, you would have to do 14÷3 because there are 3 cats that eat 14 pounds of food in a week and to figure out how much a cat eats in a week, you would have to divide.

Find the degree of the monomial. 6x8y5

Answers

Answer:

13

Step-by-step explanation:

We have been given the monomial 6x^8y^5

Here the variables are x and y.

In order to find the degree this monomial, we add the exponents of the variables x and y.

Exponent of x = 8

Exponent of y = 5

Therefore, the degree of the monomial is

Degree = exponent of x + exponent of y

Degree = 8 + 5

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 13 

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?All integers where n ≥ 0

All integers where n ≥ 1

All integers where n ≥ 5

All integers where ≤ 5

Answers

Answer:

Hence, All integers where n ≥ 1

Option 2 is correct.

Step-by-step explanation:

Given: The geometric sequence

where, a1 = a = 5 and the common ratio (r) = −3

Now we will find the general term of Geometric sequence.

a_n=ar^(n-1)

a_n=5(-3)^(n-1)

Now we write as function,

f(n)=5(-3)^(n-1)

f(1)=5

For n=1,

Geometric series start from n=1

Therefore, Domain: n≥1

Hence, All integers where n ≥ 1

Answer:

Al integers where n≥1

Step-by-step explanation:

Yessirrrr
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