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3 years ago

Please help me answer this question, thank youuu

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

D is the answer yes it is

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Solve. 4 – d < 4 + d d > 8 d > 0 d > –8 d > –4

yaroslaw [1]

Answer:

-2d + 4 < 4

-2d < 0

d > 0

answer is b

3 0

3 years ago

Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ

bixtya [17]

Answer:

$AB=2\sqrt{ab}$

Step-by-step explanation:

From figure,

$OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)$

In triangle $OO'D$

$(OO')^2=(OD)^2+(O' D)^2$

$\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]$

Hence, $AB=2\sqrt{ab}$

6 0

3 years ago

In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

monitta

Answer: The ratio that represents the cosine of ∠T is $\frac{56}{65}$

Step-by-step explanation:

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

$\cos \theta=\frac{\text{base}}{\text{hypotenuse}}$

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

$\cos \theta=\frac{UV}{TU}=\frac{56}{65}$

Hence, the ratio that represents the cosine of ∠T is $\frac{56}{65}$

6 0

2 years ago

Jill mixed 3/8 cup of water with 1 5/6 cups of sugar.how many more cups of sugar did he use in his mixture

kherson [118]

Jill had 1 11/24 more cups of sugar in his mixture that he used.
1 5/6 1 20/24
- → -
3/8 9/24
_____ _______
1 11/24

4 0

3 years ago

A potted tree weighs 21 pounds. The pot weighs 3 pounds. If w represents the weight of the tree without the pot, write an equati

masha68 [24]

W = 21 - 3
weight of the tree = 21 pounds - 3 pounds

8 0

3 years ago