How many solutions does this equation have

(x + 10) + (x + 10) = 90

90 - (10 + 10) = 70

70/2 = 35

x = 35

Have a great day!

Answer:

x = 35

Step-by-step explanation:

Since we know that this is a right angle, we know that the total has to equal 90 degrees. From there, we can make an equation:

(x+10) + ( x+10) = 90

2x +20 = 90

2x = 70

x = 35

Hope this helped and pls mark as brainliest!

~Luna

The discriminant of the quadratic function f(x) = -4x^2 + 10x - 8 is -28. Since the discriminant is negative, there are no distinct real number zeros for this function.

Your question involves finding the discriminant of the quadratic function f(x) = -4x2 + 10x - 8 and determining how many distinct real number zeros it has. The discriminant of a quadratic equation in the form ax2 + bx + c is given by b2 - 4ac. In your case, a = -4, b = 10, and c = -8. Let's calculate the discriminant:

b2 - 4ac = (10)2 - 4(-4)(-8)

b2 - 4ac = 100 - 128

b2 - 4ac = -28

Since the discriminant is negative (b2 - 4ac < 0), the quadratic function f(x) has no real number of zeros. Therefore, the graph of the function does not cross the x-axis, and there are no distinct real roots.

Answer:

2x + 2y = 32

Step-by-step explanation:

2 sides of each rectangle are always equal to each other, and there's 2 pairs of that, top&bottom and side&side

The perimeter is all the sides added together, so it's x + x +y +y, which can be written as 2x + 2y

The relationship between the length (x) and width (y) of a rectangle with a perimeter of 32 can be represented by the equation 2*(x+y)=32, derived from the formula for the perimeter of a rectangle.

The subject of this question is mathematics, specifically relating to geometry and algebra. To express the relationship between the length, x, and width, y, of a rectangle with a perimeter of 32, you can form an equation based on the formula for the perimeter of a rectangle.

The formula for the perimeter of a rectangle is 2*(length+width). In this case, the length is x and the width is y, and we know that the total perimeter is 32. This can be expressed in the following equation: 2*(x+y) = 32.

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Answer:

I need the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Y look like it's close to 90 degrees.

Answer:

Numbers greater than or equal to 15950 and less than 16050.

Step-by-step explanation:

Given:

The town Diego lives in has a population of about 16,000

To fill: the blanks

Solution:

Numbers 15950, 15951, 15952, 15953,...., 16000, 16001, 16002,..., 16049 are rounded off to 16,000 when rounded to the nearest hundred.

In other language, numbers greater than or equal to 15950 and less than 16050

Numbers greater than or equal to 15950 and numbers less than or equal to 16049 will round round to 16000 when rounded to the nearest hundred.

To round to the nearest hundred :

Therefore, Values below 15950 and beyond 16049 will not round to 16000(to the nearest hundred).

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Answer:

The budget breakdown is as follows;

Savings = $354.00

Clothing = $88.50

Entertainment = $88.50

Charitable giving = $44.00

Amount left = $0.00

Step-by-step explanation:

In the budgeting process, needs and the recurring expenditures are first addressed followed by savings which consists of emergency funds that can be used on unexpected expenses and reduces the tendency for borrowing.

Therefore, the appropriate amount for savings in a budget is found from the 50-20-30 rule.

That is the after tax income is weighted to 100 from which;

50% is expended on needs and recurring expenditures

20% of the after tax income should be kept as savings and

30% can be spent on wants

Based on the above rule, with a take home pay of $1,770 we have;

Amount meant for savings = 20% of $1,770 = $354.00

Since $354.00 is to be kept as savings we have;

Amount on Clothing + Entertainment + Charitable = $575 - $374 = $221

The amount on clothing should be 5% of the monthly income, which gives;

5% of $1,770 = 0.05× $1,770 = $88.5

Therefore amount on entertainment which should also be 5% =$88.5

Hence the amount for charitable giving = $221 - $88.5 - $88.5 = $44.00

Hence the budget breakdown should be;

Savings = $354.00

Clothing = $88.50

Entertainment = $88.50

Charitable giving = $44.00

Amount left = $0.00.

Budget represents financial plan over a period of time.

The money would be allocated as follows:

The total home pay is given as:

[tex]Total = \$1770[/tex]

In budget, 20% are always allocated to savings.

So, we have:

[tex]Savings = 20\% \times Total[/tex]

[tex]Savings = 20\% \times \$1770[/tex]

[tex]Savings = \$354[/tex]

The amount to spend is given as:

[tex]Spend = \$575[/tex]

The amount left, after savings is:

[tex]Amount = Spend - Savings[/tex]

[tex]Amount = \$575 - \$354[/tex]

[tex]Amount = \$221[/tex]

The $221 would be spent on entertainments, clothing and charitable givings.

In budgets, 5% of total home pay is always allocated for entertainments and for clothing.

So, we have:

[tex]Clothing = 5\% \times Total[/tex]

[tex]Clothing = 5\% \times \$1770[/tex]

[tex]Clothing = \$88.5[/tex]

Also

[tex]Entertainment = Clothing = \$88.5[/tex]

The amount on charitable giving is:

[tex]Giving = Amount\ Left - Entertainment - Clothing[/tex]

[tex]Giving = \$221 - \$88.5 - \$88.5[/tex]

[tex]Giving = \$44[/tex]

Hence, the money would be allocated as follows:

[tex]Savings = \$354[/tex]

[tex]Clothing = \$88.5[/tex]

[tex]Entertainment = \$88.5[/tex]

[tex]Charitable\ Giving = \$44[/tex]

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Answer:

13.73

Step-by-step explanation:

Answer: 13.7345175425633 square feet

The rounding instructions are cut off, so it's not clear how you want to round this.

========================================================

Explanation:

The area of the square is 8*8 = 64 square feet.

The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.

The shaded area is the result of taking the circle area away from the larger square area

shaded area = (area of large square) - (area of two semicircles)

shaded area = (area of large square) - (area of circle with radius 4)

shaded area = 64 - 16pi = exact value

shaded area = 13.7345175425633 = approximate value

Answer:

-4/9 ,Option d

Step-by-step explanation:

4/-9

=-4/9

-4/-9=4/9 which is not equivalent

=9/4 is not equal to 4/-9

=-9/4 is not equal to 4/-9

Answer:

54700

Step-by-step explanation:

Answer:

Their are 54700 milliliters  in a liter

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given:

Lou has the first 4 encyclopedias lined up on a shelf, A, B, C, and D.

To find: probability that he picks A first and B second if he picks two at random

Solution:

Total number of outcomes = [tex]4!=4(3)(2)(1)=24[/tex]

Favourable outcomes are ABCD, ABDC

Number of favourable outcomes = 2

probability that he picks A first and B second = Number of favourable outcomes / Total number of outcomes = [tex]\frac{2}{24}=\frac{1}{12}[/tex]

Answer:

First off if you want this answered make sure it's clear when your multiplying or using X

(5x^2+6)-(6x-5x^2)

5x^2 -- 5x^2 = 10x^2

10x^2 -6x + 6

Answer:

1. S

2. diameter

3. secant

4. central angle

5. minor arc

6. tangent

7. radius

8. semi circle

9. chord

10. major arc

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Angles on a straight line is 180

Answer:

pretty sure it's the third option.

Step-by-step explanation:

I've done this before.e

Answer:

3 minutes per student

Step-by-step explanation:

60/20=3

Answer:

3 minutes per student.

Step-by-step explanation:

To solve this, we can first convert hours to minutes:

1 hour--> 60 minutes.

Since the problem states he can figure the average for 20 students in 1 hour, all we need to do is simply:

60÷20= 3 minutes per student.

So the right answer is 12000.

Look at the attached picture ⤴

Hope it will help u...

Answer:

the 2nd one and 4th one

Step-by-step explanation:

i just did it

The expressions for the volume of the composite pyramid figure is given by A = One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

A pyramid with a square base with dimensions 12 by 7 is shown. A cone is cut out of the center of the pyramid.

The cone has a height of 10 and a diameter of 6.

The correct expression to represent the volume of the composite figure (the shaded figure) is:

One-third(7)(12)(10) - One-thirdπ(3)²(10) = 280 - 30π

So the expressions that apply are:

One-third(7)(12)(10) - One-thirdπ(32)(10) = 280 - 30π

Hence , the volume of pyramid is 280 - 30π

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The correct question is;

Which numbers are irrational? Select all that apply.

A) 9/15

B)√18

C)√9

D) √169

E) √78

F)π = 3.14...

Answer:

The irrational numbers are;

√18 ; √78 and π = 3.14...

Step-by-step explanation:

An irrational number is a number that cannot be written as the ratio of two integers. Its decimal form does not stop and does not repeat.

Thus;

A) 9/15 = 0.6 It's decimal stops after 6 and thus it is not irrational

B) √18 = 4.242640687119285.... The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number

C) √9 = 3. Doesn't have a repeating or continuous decimal and thus it's not irrational

D) √169 = 13. Doesn't have a repeating or continuous decimal and thus it's not irrational

E) √78 = 8.831760866327846......

The decimal doesn't repeat and the continuous dots means it's decimal doesn't stop. Thus it is an irrational number

F) π = 3.14.... The continuous dots means it's decimal doesn't stop. The decimal doesn't repeat and so, it's an irrational function

Answer:

v18

v78

3.14

Step-by-step explanation:

Which numbers are irrational? Select all that apply.

StartFraction 9 Over 15 EndFraction

StartRoot 18 EndRoot

StartRoot 9 EndRoot

StartRoot 169 EndRoot

StartRoot 78 EndRoot

Pi

Answer:

True

Step-by-step explanation:

Answer:

I’m Pretty sure its true but if not sorry.

Step-by-step explanation:

By applying the Pythagorean theorem to both triangles and connecting them, we find that x is roughly 11.547 cm, establishing the relationship between the side lengths in these right triangles.

Let's explore the relationship between two right triangles, ABC and ACF, and calculate the value of x using the Pythagorean theorem.

Triangle ABC is a right triangle with sides BC and AB both measuring x cm. By applying the Pythagorean theorem (a^2 + b^2 = c^2), where c is the hypotenuse, in this case, AC, we find:

AC² = x² + x² = 2x²

This equation relates the lengths of the sides of triangle ABC.

Now, consider triangle ACF. It's also a right triangle with side CF measuring x cm and a hypotenuse AC, which is 20 cm long. Applying the Pythagorean theorem again:

20² = AC² + x²

Since we already established that AC² is 2x² from the first triangle, we can substitute it in:

20² = 2x² + x²

This equation connects the two triangles. To find the value of x, we need to solve this equation:

20² = 3x²

Now, isolate x:

x² = (20²) / 3

x² = 400/3

x = √(400/3)

x ≈ 11.547 cm

So, x is approximately 11.547 cm.

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Answer:

( x + 5 ) ( x + 12 )

Step-by-step explanation:

hope it helps

Answer:

Lateral surface area = 4 (1/2 × 705 × 588.30) = 829503 ft²

Step-by-step explanation:

The pyramid is a square base pyramid. The height = 471 ft. The sides of the square base pyramid = 705 ft.

To calculate the lateral area of the square base pyramid we have to know the slant height. The slant height can be known by using Pythagoras theorem to solve for it.

c² = a² + b²(Pythagoras theorem)

base = b = 705/2 = 352.50 ft

c² =  352.50² + 471²

c² = 124256.25 + 221841

c² = 346097.25

square root both sides

c = √346097.25

c = 588.300305966

c ≈ 588.30 ft

slant height = 588.30 ft

Lateral surface area  = sum of area of the 4 triangular faces

lateral surface area = 4 (1/2 × base × height)

Lateral surface area = 4 (1/2 ×705 × 588.30) = 829503 ft²

Answer:

829503.6

Step-by-step explanation:

1/2x - 7.5Step-by-step explanation:The image below shows proof that the equation y = 1/2x - 7.5

Step-by-step explanation:

The equation of the line contains the point ( 3 , -6) graph is shown below.

Since the point (3, -6) lies on the line, we can use the point-slope form of linear equations to find the equation of the line, which is:

[tex]y - y_1 = m(x - x_1)[/tex]

where [tex](x_1, y_1)[/tex]  is the point on the line and m is the slope of the line.

Substituting in (3, -6) and m = 1/2, we get:

y - (-6) = 1/2(x - 3)

y + 6 = 1/2x - 3/2

y = 1/2x - 3/2 - 6

y = 1/2x - 9/2

To graph the line, we can start by plotting the point (3, -6). Then, we can use the slope to find another point on the line.

Since the slope is 1/2, it means that for every 1 unit we move up, we must also move 2 units to the right.

Therefore, we can move 2 units to the right and 1 unit up from (3, -6) to find the point (5, -5). We can then plot this point and connect the two points with a line.

Here is a graph of the line that contains the point (3, -6) and has a slope of 1/2:

The graph shows that the line passes through the point (3, -6) and has a positive slope.

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Answer:

144cm2

Step-by-step explanation:

Hope this helps

The surface area of a composite solid is 144 cm².

The net is made up of three parallel rectangles and an equal number of equal triangles. The surface area is a total of five shapes. To find the location of a triangle, you need to know the height of the triangle.

A solid composite is a solid, or solid, two or more solids. Solid materials are usually made of prisms, pyramids, cones, cylinders, and spheres.

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Answer:

[tex]4cm[/tex]

Step-by-step explanation:

[tex]v = \frac{4}{3} \pi \: r \\ \\ solving \: \: \: for \: \: \: radius \\ \\ r = (3 \frac{v}{4\pi} ) ^{ \frac{1}{3} } \\ \: \: \: \: = (3 \times \frac{288}{4 \times \pi} )^{ \frac{1}{3} } \\ \: \: \: \: ≈

4.0967[/tex]

Answer:

a. 60

b. 25

Step-by-step explanation:

Given that the stained glass window has an area of 900 square inches and this is made of smaller rectangular stained glass pieces, the number of smaller rectangular stained glass pieces used will be equal to the total area (900 square inches) to the area of the smaller rectangular piece.

The area A of the rectangular piece of length l and width w may be stated  as

A = l * w

Hence given  that

- One window design is made of rectangular stained glass pieces that are 5 inches by 3 inches, number of stained glass pieces are used in the window

= 900/(3 * 5)

= 60

- Another window design is made of square stained glass pieces that are 6 inches by 6 inches, number of stained glass pieces are used in the window

= 900/(6 * 6)

= 25

Answer:

a. 60 pieces

b. 25 pieces

Step-by-step explanation:

Hi, to answer this question we have to calculate the area of each rectangular stained glass.

Area = width x length

a.

5 x 3 = 15 square inches

Now we have to divide the area of the window by the area of each stained glass.

900/ 15 = 60 pieces

Same process for b

b.

6x6 = 36  square inches

900/36= 25  pieces

Feel free to ask for more if needed or if you did not understand something.