Mathematics High School

Find the area of the triangle that has a base of 4.2 mm and a height of 1.5 mm.

Answers

Answer 1

6.3 is your answer
I hope this helps

Answer 2

6.3 is the final answer

Related Questions

If GH = 3 and HJ = 5, then G ___ J.

Choose the relationship symbol that would make a true statement.

Answers

it will be less than

Step-by-step explanation:

The given equation is as follows.

GH = 3 and HJ = 5

Therefore, simplify for H from both the equations as follows.

H = [tex]\frac{3}{G}[/tex] .......... (1)

and, H = [tex]\frac{5}{J}[/tex] .......... (2)

Equating both equation s(1) and (2), we get the following.

[tex]\frac{3}{G}[/tex] = [tex]\frac{5}{J}[/tex]

G = [tex]\frac{3J}{5}[/tex]

or, G = 0.6J

This means that J will be 0.6 times greater than G.

Thus, we can conclude that G < J.

Write the polynomial in standard form. Then name the polynomial based on it's degree and number of terms.

3 - 10x^2 - 7x + 3x^2

Answers

In standard form...
-7x^2 - 7x + 3

This is a trinomial because it has 3 terms.
The degree of this polynomial is 2.

Evaluate the determinant for the following matrix:
-4 -4 -3
3 3 -5
-5 2 -5
A. –203 B. 75 C. –152 D. –263

Answers

Looks like it is from China, but... I color coded the numbers. Multiply across the dashed lines.

Answer:

The determinant of matrix is -203

Step-by-step explanation:

Given the matrix of order 3 i.e

[tex]A=\begin{bmatrix}-4&-4&-3\\ 3&3&-5\\ -5&2&-5 \end{bmatrix}[/tex]

we have to find the determinant of matrix A

[tex]|A|=-4(-5(3)-(-5)(2))-3((-4)(-5)-(-3)(2))+(-5)((-5)(-4)-(-3)(3))\\\\|A|=-4(-15+10)-3(20+6)-5(20+9)\\\\|A|=-4(-5)-3(26)-5(29)\\\\|A|=20-78-145\\\\|A|=-203[/tex]

Hence, the determinant of matrix is -203

Option A is correct.

This figure shows circle O with inscribed ∠XYZ. m∠XYZ=76∘ What is the measure of XYZ?

Answers

check the picture below.

now, the inscribed angle is at ∡XYZ and is 76°, that means by the "inscribed angle theorem", the intercepted arcXZ, in red, is twice as much, namely 152°.

keeping in mind that a circle has a total of 360°, and since the red arc has already taken up 152°, the arcXYZ in blue, will pick up the slack from 360° - 152°, namely 208°.

A store owner paid $15 for a book she marked up the price of the the book by 40% to determine its selling price part A what is the selling price of the book? Part B a customer buys a different book that has an original selling price of $38 the book is discounted 25% the costumer must pay 6% sales tax on the discounted price of the book .what is the total amount the customer must pay for the discounted book

Answers

A:

40% = 0.4

15*0.4 = 6

15 + 6 = 21

The marked up price is $21

B:

To find the discounted price:

25% = 0.25

38*0.25 = 9.5

38 - 9.50 = 28.50

To find the tax and price after tax:

6% = 0.06

28.50*0.06 = 1.71

So tax is $1.71

28.50 + 1.71 = 30.21

Price after tax is $30.21

which reason justifies the last step in a proof that ΔEDG≌ΔADC?

Answers

it is side angle side postulate
fd is congruet to db
ed is congruent to da
and vertical angles theorem

7x(x+4)

A. 7x^2+4
B. 7x^2+28x
C.8x+4
D.8x+11

Answers

Use distributive property:

a(b + c) = ab + ac.

7x(x + 4) = (7x)(x) + (7x)(4) = 7x² + 28x

Answer: B. 7x^2 + 28x

Jennifer is 30 years old. She has $1200 in a checking account, $8000 in a savings account, $6000 in stock investments, $12,000 in a retirement account, and owns a car worth $8000. What is the total value of her liquid assets?

A. $20,000
B. $15,200
C. $23,200
D $25,200

APEX

Answers

Answer:

B.15,200

Step-by-step explanation:

Suppose the dial on the spinner is spun 2 times in a row.

X is the number of times the dial lands on region A.

Which table represents the probability distribution for the variable X?

Answers

If you spin the dial two times there three things that can happen:
1) Dial does not land in the region A
2) Dial lands once in the region A
3) Dial lands twice in the region A
The combined probability of these three events has to be 1.
Let's calculate probabilities of each event:
[tex]1) P=P(1,1)=\frac{2}{3}\cdot\frac{2}{3}=\frac{4}{9}\\ 2)P=P(1,2)+P(2,1)=2\cdot \frac{2}{3}\cdot \frac{1}{3}=\frac{4}{9}\\ 3)P=P(3,3)=\frac{1}{3}\cdot\frac{1}{3}=\frac{1}{9}[/tex]
If we summ all those probabilities we get 1.
The answer would table C (lower left corner).

if this is your spinner the answer is

the answer is

X P

0 1/9

1 4/9

2 4/9

Instructions:Select the correct answer from each drop-down menu. The sum of the squares of two consecutive positive even numbers is 340. Find the numbers. The consecutive even numbers are

Answers

Looking at the problem, you can come up with an equation for the consecutive numbers.

[tex] x^{2} + (x + 2)^{2} = 340[/tex]

If we expand the second term:
[tex] x^{2} + x^{2} + 4x + 4 = 340[/tex]

Combine like terms:

[tex]2 x^{2} + 4x + 4 = 340[/tex]

You can reduce this by dividing both sides of the equation by two:

[tex] x^{2} + 2x + 2 = 170[/tex]

And we transpose 170 to get a standard quadratic form that the right side will be zero:
[tex] x^{2} + 2x - 168 = 0[/tex]

Then factor the left side:
[tex](x +14)(x-12) = 0[/tex]

Find out the values of x that makes each factor = 0
x + 14 = 0
x = -14

We can eliminate the negative symbol because the problem is asking for positive even integers.

and;

x - 12 = 0
x = 12

Now we can say that the first positive integer is 12 and the second one is 14

lets name the numbers as x and x + 2
the sum of the squares of these 2 numbers are 340
x² + (x+2)² = 340
x² + x² + 4x + 4 = 340
2x² + 4x - 336 = 0
we are left with a quadratic equation
coefficient of x is 2 therefore divide each number by 2
x² + 2x - 168 = 0
to solve the quadratic equation , the 2 factors whose product is 168x² and sum is 2x is -12x and 14x
x² + 14x -12x -168 = 0
x (x + 14) - 12(x + 14)=0
(x+14)(x-12) = 0
we have 2 possible values for x
x + 14 = 0 x-12 = 0
x = -14 x = 12
from the 2 answers the correct answer is x = 12 as it should be a positive integer
one integer is 12 and consecutive even integer is 14
to check the product of the squared numbers
= 14² + 12²
= 196 + 144
= 340

Many 1/2 inch cubes can fit into a box that is 15 inches tall, 1 1/2 inches wide, and 3 inches long?

Answers

The answer is 20, I hope this helps!

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Find the values of x and y.
x = 5, y = 12
x = 5, y = 9
x = 4, y = 9
x = 9, y = 4

Answers

We have that in this case the following equalities are met:
DH = HF
x + 3 = 3y
GH = HE
3x - 3 = 5y + 4
We then have the following system of equations:
x-3y = -3
3x-5y = 7
Resolving the system graphically we obtain the following values:
x = 9
y = 4
Note: see attached image.
Answer:
The values of x and y are:
x = 9, y = 4

Final answer:

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Solving the equations yields x = 9, y = 4.

Explanation:

To find the values of x and y in parallelogram DEFG, we'll use the properties of parallelograms. In a parallelogram, opposite sides are equal in length.

Given that DH = x + 3 and HF = 3y, and that DH is opposite to HF, we have:

x + 3 = 3y ...(1)

Similarly, given GH = 3x - 3 and HE = 5y + 4, and that GH is opposite to HE, we have:

3x - 3 = 5y + 4 ...(2)

Now, we have a system of two equations (1) and (2) to solve for x and y.

From equation (1):

x = 3y - 3 ...(3)

Substitute equation (3) into equation (2):

3(3y - 3) - 3 = 5y + 4

9y - 9 - 3 = 5y + 4

9y - 12 = 5y + 4

4y = 16

y = 4

Now, substitute the value of y into equation (3):

x = 3(4) - 3

x = 12 - 3

x = 9

So, the values of x and y are x = 9 and y = 4. Thus, the correct answer is x = 9, y = 4.

The point nearest to the origin on a line is at (4, -4). Find the standard form of the equation of the line.

Answers

The line through that point and the origin has a slope of -1. It is perpendicular to the line you want, so the line you want has slope +1. Its equation can be written as
.. y = (x -4) -4
or, in standard form
.. x - y = 8

I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Answer with supporting work:

Answers

Each side of the smaller square is the hypotenuse of the triangles with legs of 3 and 4. From the Pythagorean Theorem, we can calculate the hypotenuse:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25

The answer would be 256 as the area because roughly the 4 closes in onto the smaller square which makes it 4 x 4 so what I would do is go first 4 x4 which equals 16 and then do it over 4 x 4 equals 16 once again so 16 x 16 equals 256 your welcome!!!!! :)

For which data representation is the median the better measure of center

Answers

Answer: The second graph

In all but the 3 graphs, the data is perfectly symmetrical. This means that the mean and the median would be the same.

However, in the second graph the data is skewed to the right. This means that the mean would also be skewed to the right due to the larger scores there. Using the median in this case would give a clearer picture of the data.

please help me thank you.

Answers

∠AOC is a "central angle".

_____
Any angle with sides that are radii and a vertex at the center of the circle is a central angle.

Can someone please help me.

The polygons are similar. Write a similarity statement and give the scale factor

Answers

the scale factor is
[tex] \frac{4}{3} [/tex]
all you need to so is take one of the sides from the larger figure and divide it by the corresponding side on the smaller figure for example
[tex] \frac{24}{13} [/tex]
which simplifys to your answer
[tex] \frac{4}{3} [/tex]

A person at ground level measures the angle of elevation to the top of a building to be 74degrees if at this point the person is 34 feet away from the base of the building, then how tall is the building round to the nearest tenth.

Show work

Will give brainliest to best answer

Answers

see the attached figure

Let
h---------> building tall

we know that
tan 74°=h/34---------> h=34*tan 74°--------> 34*3.487------> 118.57
h=118.6 ft

the answer is h=118.6 ft

Find the inverse of the following function. f(x) 8√ x for x > 0

Answers

The inverse of the function f(x) = 8√x for x > 0 is g(x) = x^2/64.

To find the inverse of the function f(x) = 8√x for x > 0, we need to interchange the roles of x and y and solve for y.

Let's start by rewriting the function using y instead of f(x):

y = 8√x

Next, we'll swap x and y:

x = 8√y

To isolate y, we can square both sides:

[tex]x^2 = (8\sqrt y)^2\\\\x^2 = 64y[/tex]

Now, divide both sides by 64:

[tex]x^2/64 = y[/tex]

Simplifying further:

[tex]y = x^2/64[/tex]

Therefore, the inverse of the function f(x) = 8√x for x > 0 is given by [tex]g(x) = x^2/64.[/tex]

To know more about inverse, refer here:

https://brainly.com/question/28595565

#SPJ6

Rotate this image 90 clockwise around the point (-1 1 )

Answers

To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)

In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)

Answer: You didn't put options A, B, C, OR D

no picture either

Step-by-step explanation:

What is the measure of ∠EGF?

What is the measure of ∠CGF?

Answers

measure of ∠EGF = 1/2( 180 - 50)
= 1/2(130)
= 65

the measure of ∠CGF = 180 - 65
= 115

Hello!

This is an isosceles triangle, which means its base angles are congruent. Interior angles of triangle add to equal 180 degrees, so you can make an equation to solve for the measure of the base angles. I'll call the base angles x.

180 = 50 + 2x
130 = 2x
65 = x

That gives you m∠EGF and m∠FGE (65°).

To find m∠CGF, you must know that it and ∠EGF are supplementary (they add to equal 180 degrees). Make another equation setting them to equal 180 using m∠EGF (65°):

180 = 65 + x
115 = x

Answer:
m∠EGF = 65°
m∠CGF = 115°

How many numbers less than 1000 are divisible by 7?

Answers

==> The number of positive integers divisible by 7 but not by 11 is 142 - 12 = 130. ==>the number of positive integers less than 1000 that are divisible by either 7 or 11is 142 + 90 - 12 = 220. ==>the number of positive integers less than 1000 that are divisible by exactly by one of 7 and 11 is 220 - 12 = 208.

Compare the values of the underlined digits.

34,258 and 47,163
- -

The value of 4 in _________ is______ times the value of 4 in ________

PLEASE ANSWER ASAP IT'S FOR MY SISTER

Answers

In the first number, the "4" is in the thousands place - meaning it is 4,000 + 30,258
In the second number, the "4" is in the ten thousands place - meaning it's
40,000 + 7,163.
40,000/4,000 = 10
The value of 40,000 in the second value is 10x greater than the value of 4,000 in the first value.

Find the least common multiple of x² + x – 12 and x² + 2x – 15.

Answers

Solution:

we have been asked to find the Least Common multiple of the given polynomial x² + x – 12 and x² + 2x – 15.

To find the least common multiple. Lets first find the factors.

[tex] x^2+x-12=x^2+4x-3x-12\\
\\
x^2+x-12=x(x+4)-3(x+4)\\
\\
x^2+x-12=(x+4)(x-3)\\ [/tex]

[tex] x^2+2x-15=x^2+5x-3x-15\\
\\
x^2+2x-15=x(x+5)-3(x+5)\\
\\
x^2+2x-15=(x+5)(x-3)\\ [/tex]

Hence the LCM of the given set of Polynomials is (x+4)(x-3)(x+5).

The LCM is (x+4)*(x-3)*(x+5)

What exponential function is the best fit for the data in the table?

x f(x)
2 -3
3 0
4 12

A. f(x) = 4(4)^x - 1 + 4

B. f(x) =4(4)^ x - 1 - 4

C. f(x) = 1/4(4)^x -1 + 4

D. f(x) = 1/4(4)^ x - 1 - 4

Answers

Answer: The correct answer is choice D.

There are multiple ways to get to the right answer. You could plot the points on a graphing calculator. Then, graph each function to determine which equation matches the points.

You could also input the x values and see which equation produces the y values in the chart.

On thing to notice is the we have negative output values, there we need to pick either B or D, so the values go beneath the x-axis.

Answer:

option D.

Step-by-step explanation:

Data given in the table is

x 2 3 4

f(x) -3 0 12

Now we will plug in the values of x in the given functions to find the correct exponential function.

For x =2

A). f(x) = 4(4)[tex]^{(x-1)}[/tex] + 4

f(2) = 4(4)[tex]^{2-1}[/tex] + 4 = 4 × 4 + 4 = 20

B). f(x) = 4(4)[tex]^{(2-1)}[/tex] - 4

f(2) = 4(4)[tex]^{2-1}[/tex] - 4 = (4)(4) - 4 = 16 - 4 = 12

C). f(x) = 1/4(4)[tex]^{x-1}[/tex] +4

1/4(4)[tex]^{2-1}[/tex] + 4 = [tex]\frac{1}{4}[/tex] × 4 + 4

= 1 + 4 = 5

D). f(x) = [tex]\frac{1}{4}(4)^{x-1}-4[/tex]

f(2) = [tex]\frac{1}{4} (4)^{2-1}-4=\frac{1}{4}(4)-4[/tex]

= 1 - 4 = -3

We find option D in which f(2) = (-3). so the answer would be option D.

A lake has the capacity to support 10,000 trout. Suppose that the conditions are such that the current population of trout will grow logistically up until it stabilizes at the amount that the lake can support. Currently there are 1,500 trout in the lake. Which of the following is a possible model for P(t), the trout population in t years?

Answers

I just got this problem, I'm not sure if it's right but I got P(t) = 10,000/ (1+9e^0.48t)

Answer:

P(t) = 10,000/ (1+9e^-0.48t)

Step-by-step explanation:

i think because it starts at around 1500 for t=1 and then when t=2 and so on it grows exponentially.

You bought a coat at $78.50 and two shirts at $21.99 each. if the sales tax rate is 7%, how much is the total purchase?

Answers

7% of the coat is $5.49. 7% of the shirts is $1.54 each. adding up the taxes ($8.57) with the base total ($122.50) would add up to $131.07

Answer:

The answer is going to be $131.05

Step-by-step explanation:

I just took the test

A trapezoid has an area of 150 square meters. If the bases are 14 meters and 16 meters, what us the height of the trapezoid?

Answers

To find the area of a trapezoid, we use the following formula:
[tex]a = \frac{1}{2} (b1 + b2) \times h[/tex]
In this formula a represents the area and b1 and b2 each represent a base of the trapezoid.

So, we have got the following information
[tex]a = 150[/tex]
[tex]b1 = 14[/tex]
[tex]b2 = 16[/tex]

Filling in the formula gives us:
[tex]150 = \frac{{1} }{2} \times (14 + 16) \times h[/tex]
[tex]150 = \frac{1}{2} \times 30 \times h[/tex]
[tex]150 = 15 \times h[/tex]
Finally we have to divide both sides by 15.
[tex]h = 150 \div 15 = 10[/tex]
Therefore, the height of the trapezoid is 10 meters.

Yesterday , the snow was 2 feet deep in front of archies house. Today, the snow depth dropped to 1.6 feet because the day is so warm.What is the percent change in the depth of the snow?

Answers

earlier snow depth = 2 feet
later snow depth = 1.6 feet

change
2 - 1.6
0.4 feet

percentage change
(0.4 / 2) * 100
20 %

80% is still left, therefor the percent change is 20%

What is the maximum number of real zeros that a function with degree 5?

Answers

5 for example
y = (x - 22)(x - 1)(x + 1)(x - 2)(x+2)

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a flag of mass 2.5 kg is supported by a single rope. A strong horizontal wind exerts a force of 12 N on the flag. Calculate the tension in the rope and the angle the rope makes with the horizontal which element is usually found more often in speeches than in written essays Which number is equivalent to 43/12? which of these is a innate adaptation?A.hunting in packsB.matingC.fighting for protection D.all behaviors are innate Briana surveys five students from four different classrooms. She asks them about the number of hours they spend on the Internet every day. This is the data from her survey: classroom A: 0, 0, 0, 1, 1 classroom B: 1, 1, 1, 2, 2 classroom C: 2, 3, 3, 3, 4 classroom D: 1, 2, 2, 2, 3 Which classroom's data has the highest center of distribution?classroom Aclassroom Bclassroom Cclassroom DThank you! the length of a rectangular garden is 5 feet longer than its width. The garden is surrounded by a 2-foot-wide sidewalk. The sidewalk has an area of 76 square feet. Find the dimensions of the garden. What is the percentage of Chilean living in rural areas? 1 and 2 are vertical angles. 2 has a measure of 63. What is the measure of 1 ?Enter your answer in the box. What is 21/16 simplified WILL GIVE BRAINLIESTTT HELP PLEASE What were the main features of the great depression? What examples can you find in your home that are examples of kinetic and potential energy name two for each John uses 9 eggs to make 5 breakfast burritos. How many burritos can he make 27 eggs Write the time 8:30 then write this time in two other ways using words Differences among organisms are caused by differences in the _____. differences among organisms are caused by differences in the _____. types of inorganic compounds present in each organism sizes of the organic molecules in each organism types and relative amounts of organic molecules synthesized by each organism elemental composition from organism to organism Interpret the scatter plot of the data for the amount of paint used to paint signs of various lengths based on the shape of the distribution Simplify these 12 radicals: 1) 80 2) 643) 45 4) 545) 32 6) 367) 150 8) 209) 180 10) 7211) 8 12) 50 What is the hippocratic oath? the standard of ethics for medical practitioners an oath chinese practitioners used to recite in ancient times an oath of commitment to medicine created by aristotle the ethical standards used by greek scientists in ancient times? What are the direction indices for a vector that passes from point 34 1 12 to point 14 12 1 in a cubic unit cell? please indicate negative directions by a "-" sign before the integer and omit spaces between numbers? Demonstrate your knowledge of waves.Describe the difference between mechanical and electromagnetic waves. Give an example of each kind of wave related to telecommunications. Answer using complete sentences and key vocabularyPLEASE HELP