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3 years ago

What is the answer fore this problem 4(3-u)

Mathematics

2 answers:

Goshia [24]3 years ago

8 0

12-4u because of the distributive property :)

bixtya [17]3 years ago

6 0

Answer:

12-4u

Step-by-step explanation:

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Francis have 5 more dollars than Julia together they have at most $45 let X represent the amount of money francis has. Which ine

Dmitrij [34]

X=francis y=julia

the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five

6 0

3 years ago

In right △ABC, the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find the sides of △ABC if AD = 8 cm

tangare [24]

Answer:

$AC=8\sqrt{3}\ cm\\ \\AB=16\sqrt{3}\ cm\\ \\BC=24\ cm$

Step-by-step explanation:

Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.

By the Pythagorean theorem,

$AD^2=AH^2+DH^2\\ \\8^2=AH^2+4^2\\ \\AH^2=64-16=48\\ \\AH=\sqrt{48}=4\sqrt{3}\ cm$

AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:

$\dfrac{CA}{CD}=\dfrac{AH}{HD}\\ \\\dfrac{CA}{CD}=\dfrac{4\sqrt{3}}{4}=\sqrt{3}\Rightarrow CA=\sqrt{3}CD$

Consider right triangle CAH.By the Pythagorean theorem,

$CA^2=CH^2+AH^2\\ \\(\sqrt{3}CD)^2=(CD+4)^2+(4\sqrt{3})^2\\ \\3CD^2=CD^2+8CD+16+48\\ \\2CD^2-8CD-64=0\\ \\CD^2-4CD-32=0\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144\\ \\CD_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm 12}{2}=-4,\ 8$

The length cannot be negative, so CD=8 cm and

$CA=\sqrt{3}CD=8\sqrt{3}\ cm$

In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,

$AB=2CA=16\sqrt{3}\ cm$

By the Pythagorean theorem,

$BC^2=AB^2-AC^2\\ \\BC^2=(16\sqrt{3})^2-(8\sqrt{3})^2=256\cdot 3-64\cdot 3=576\\ \\BC=24\ cm$

3 0

2 years ago

What’s the answer to this

Vinvika [58]

Answer:

The answer is A

Step-by-step explanation:

7 0

3 years ago

Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft. Try not to ro

nadya68 [22]

Answer: 2730 tiles (Approx)

Step-by-step explanation:

Since, The side length of each side = 25

According to the question the shape of the tile is square.

Thus, the area of one tile = 25 × 25 = 625 $cm^2$

Also, we need to tile a kitchen measuring 102 ft. by 18 ft

Thus, the area of the room in which we have to tile = 102 × 18 = 1836 $feet^2$ = 1836×30.48 × 30.48 = 1705699.8144 $cm^2$

Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile = $\frac{1705699.8144}{625} = 2729.11970304$

Since, we must take 2730 tiles to tile the kitchen.

3 0

3 years ago

Read 2 more answers

How u do dis ............

Norma-Jean [14]

i’ll try to help.

angle 3 and angle 1 are congruent angles, so they both equal 75°.

angle 1 and angle 5 are corresponding angles, so they both equal 75°. (it’s bc they’re positioned the same.

soooo the answer to that is 75° for angle 5. (not really great at explaining) also hope that the answer is right it should be.

5 0

3 years ago