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3 years ago

I need help with this question?

Mathematics

2 answers:

Harrizon [31]3 years ago

5 0

Answer:

x<−15

Step-by-step explanation:

Let's solve your inequality step-by-step.

15x<−3

Step 1: Multiply both sides by 5.

5*(15x)<(5)*(−3)

x<−15

irina1246 [14]3 years ago

5 0

If you’re solving for x it’d be (-♾, -15)

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Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c

Paha777 [63]

Answer:

* AD is congruent to DC and BD true

* m∠B = 90° true

* The measure of arc AC is equal to the measure of arc AB not be true ( The right answer )

* The measure of arc AB is equal to measure of arc BC true

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and ∠ADC is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0

3 years ago

Which describes the solution of a system of equations for two lines with the same slope and the same y-intercepts?

olganol [36]

The answer is B. Infinitely many solutions.

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4 years ago

If a person has the values for an object's density and volume, what value can be calculated? the object's size the object's mass

irina [24]

Answer:

The object's mass.

Explanation:

The formula d=m/v.

d --> density

m--> mass

v --> volume

With density and volume given, you can calculate the mass of the object.

8 0

3 years ago

Read 2 more answers

Is the following shape a square? How do you know?

nevsk [136]

Answer:

C. Yes the opposite sides are parallel and all sides are the same length.

Step-by-step explanation:

Hello! The answer is C. A square is, "a plane figure with four equal straight sides and four right angles." Looking at the shape, it matches the definition. Therefore, C. Have an awesome day! :)

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3 years ago

Cement was poured to make two rectangular prism the prism were stacked as shown 4 feet 3 feet 4 feet 3 feet 2 feet what are leng

Mars2501 [29]

Answer:

V_t = 72 ft^3

Step-by-step explanation:

Solution:-

- The complete question is given in the attachment.

- The length of the smaller rectangular prism ( l ) is the side that runs along horizontal to the page and marked by l = 4 feet.

- The width of the smaller rectangular prism ( w ) is the side that protrudes out of the page, and also share the same dimension as the larger rectangular prism and marked by w = 2 feet.

- The height of the smaller rectangular prism ( h ) is the side that runs vertical to the page and marked by h = 3 feet.

- So the dimensions of the smaller rectangular prism are:

( l , w , h ) = ( 4 , 2 , 3 ) feet

- Similarly, for the larger rectangular prism:

- The length of the larger rectangular prism ( L ) is the side that runs along horizontal to the page and the sum of smaller and upper exposed face length, totaling to L = ( 4 + 4 ) = 8 feet.

- The width of the larger rectangular prism ( W ) is the side that protrudes out of the page, and also share the same dimension as the larger rectangular prism and marked by W = 2 feet.

- The height of the larger rectangular prism ( h ) is the side that runs vertical to the page and marked by H = 3 feet.

- So the dimensions of the larger rectangular prism are:

( L , W , H ) = ( 8 , 2 , 3 ) feet

- The total amount of cement in cubic feet required to make two rectangular prism with dimensions evaluated above is the sum of smaller and larger rectangular prism volumes.

- The volume of a rectangular prism is given by:

V-prism = Length*width*height

- So the total volume V_t would be:

V_t = V_small + V _large

V_t = ( l*w*h ) + ( L*W*H )

V_t = ( 4*2*3 ) + ( 8*2*3 )

V_t = ( 24 ) + ( 48 )

V_t = 72 ft^3

4 0

3 years ago